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21220002111100 = 225213174123419051
BaseRepresentation
bin1001101001100101010101…
…01100000001111001111100
32210010121112102200010202211
410310302222230001321330
510240132031020023400
6113044200121230204
74320044301613432
oct464625254017174
983117472603684
1021220002111100
116841396a95261
1224686b3932364
13bac064835230
145350a705ad52
1526beaaaa7dba
hex134caab01e7c

21220002111100 has 144 divisors (see below), whose sum is σ = 53787192461856. Its totient is φ = 7194332160000.

The previous prime is 21220002111089. The next prime is 21220002111101. The reversal of 21220002111100 is 111120002212.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220002111101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10803426 + ... + 12615625.

It is an arithmetic number, because the mean of its divisors is an integer number (373522169874).

Almost surely, 221220002111100 is an apocalyptic number.

21220002111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220002111100 is an abundant number, since it is smaller than the sum of its proper divisors (32567190350756).

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

21220002111100 is a wasteful number, since it uses less digits than its factorization.

21220002111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23419136 (or 23419129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21220002111100 its reverse (111120002212), we get a palindrome (21331122113312).

The spelling of 21220002111100 in words is "twenty-one trillion, two hundred twenty billion, two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 41 50 52 65 68 82 85 100 130 164 170 205 221 260 325 340 410 425 442 533 650 697 820 850 884 1025 1066 1105 1300 1394 1700 2050 2132 2210 2665 2788 3485 4100 4420 5330 5525 6970 9061 10660 11050 13325 13940 17425 18122 22100 26650 34850 36244 45305 53300 69700 90610 181220 226525 453050 906100 23419051 46838102 93676204 117095255 234190510 304447663 398123867 468381020 585476275 608895326 796247734 960181091 1170952550 1217790652 1522238315 1592495468 1920362182 1990619335 2341905100 3044476630 3840724364 3981238670 4800905455 5175610271 6088953260 7611191575 7962477340 9601810910 9953096675 10351220542 12482354183 15222383150 16323078547 19203621820 19906193350 20702441084 24004527275 24964708366 25878051355 30444766300 32646157094 39812386700 48009054550 49929416732 51756102710 62411770915 65292314188 81615392735 96018109100 103512205420 124823541830 129390256775 163230785470 212200021111 249647083660 258780513550 312058854575 326461570940 408076963675 424400042222 517561027100 624117709150 816153927350 848800084444 1061000105555 1248235418300 1632307854700 2122000211110 4244000422220 5305000527775 10610001055550 21220002111100