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21355515124240 = 24511229643164809
BaseRepresentation
bin1001101101100001101111…
…11001001001101000010000
32210121120022120022110200111
410312300313321021220100
510244342043332433430
6113230331015331104
74332612400331413
oct466606771115020
983546276273614
1021355515124240
1168939066067a0
12248aa12980a94
13bbba7c9288cb
1453b8807a9b7a
1527078c90bc2a
hex136c37e49a10

21355515124240 has 160 divisors (see below), whose sum is σ = 54486818870400. Its totient is φ = 7719659458560.

The previous prime is 21355515124201. The next prime is 21355515124241. The reversal of 21355515124240 is 4242151555312.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 21355515124193 and 21355515124202.

It is not an unprimeable number, because it can be changed into a prime (21355515124241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129494956 + ... + 129659764.

It is an arithmetic number, because the mean of its divisors is an integer number (340542617940).

Almost surely, 221355515124240 is an apocalyptic number.

21355515124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21355515124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27243409435200).

21355515124240 is an abundant number, since it is smaller than the sum of its proper divisors (33131303746160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21355515124240 is a wasteful number, since it uses less digits than its factorization.

21355515124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165705 (or 165699 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

Adding to 21355515124240 its reverse (4242151555312), we get a palindrome (25597666679552).

The spelling of 21355515124240 in words is "twenty-one trillion, three hundred fifty-five billion, five hundred fifteen million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 229 440 458 643 880 916 1145 1286 1832 2290 2519 2572 3215 3664 4580 5038 5144 6430 7073 9160 10076 10288 12595 12860 14146 18320 20152 25190 25720 28292 35365 40304 50380 51440 56584 70730 100760 113168 141460 147247 164809 201520 282920 294494 329618 565840 588988 659236 736235 824045 1177976 1318472 1472470 1619717 1648090 1812899 2355952 2636944 2944940 3239434 3296180 3625798 5889880 6478868 6592360 7251596 8098585 9064495 11779760 12957736 13184720 14503192 16197170 18128990 25915472 29006384 32394340 36257980 37741261 64788680 72515960 75482522 105972187 129577360 145031920 150965044 188706305 211944374 301930088 377412610 415153871 423888748 529860935 603860176 754825220 830307742 847777496 1059721870 1165694057 1509650440 1660615484 1695554992 2075769355 2119443740 2331388114 3019300880 3321230968 4151538710 4238887480 4662776228 5828470285 6642461936 8303077420 8477774960 9325552456 11656940570 16606154840 18651104912 23313881140 24267630823 33212309680 46627762280 48535261646 93255524560 97070523292 121338154115 194141046584 242676308230 266943939053 388282093168 485352616460 533887878106 970705232920 1067775756212 1334719695265 1941410465840 2135551512424 2669439390530 4271103024848 5338878781060 10677757562120 21355515124240