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21124343310 = 2357176197003
BaseRepresentation
bin10011101011000110…
…111110011000001110
32000112012011211022120
4103223012332120032
5321230312441220
613412051553410
71345323645510
oct235306763016
960465154276
1021124343310
118a60160874
1241165bb866
131cb85cc935
14104575dbb0
1583980ea40
hex4eb1be60e

21124343310 has 128 divisors (see below), whose sum is σ = 62355723264. Its totient is φ = 4469852160.

The previous prime is 21124343297. The next prime is 21124343323. The reversal of 21124343310 is 1334342112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21124343297) and next prime (21124343323).

It is a super-2 number, since 2×211243433102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169269 + ... + 266271.

It is an arithmetic number, because the mean of its divisors is an integer number (487154088).

Almost surely, 221124343310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21124343310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31177861632).

21124343310 is an abundant number, since it is smaller than the sum of its proper divisors (41231379954).

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

21124343310 is a wasteful number, since it uses less digits than its factorization.

21124343310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97098.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21124343310 its reverse (1334342112), we get a palindrome (22458685422).

The spelling of 21124343310 in words is "twenty-one billion, one hundred twenty-four million, three hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 61 70 85 102 105 119 122 170 183 210 238 255 305 357 366 427 510 595 610 714 854 915 1037 1190 1281 1785 1830 2074 2135 2562 3111 3570 4270 5185 6222 6405 7259 10370 12810 14518 15555 21777 31110 36295 43554 72590 97003 108885 194006 217770 291009 485015 582018 679021 970030 1358042 1455045 1649051 2037063 2910090 3298102 3395105 4074126 4947153 5917183 6790210 8245255 9894306 10185315 11543357 11834366 16490510 17751549 20370630 23086714 24735765 29585915 34630071 35503098 41420281 49471530 57716785 59171830 69260142 82840562 88757745 100592111 115433570 124260843 173150355 177515490 201184222 207101405 248521686 301776333 346300710 414202810 502960555 603552666 621304215 704144777 1005921110 1242608430 1408289554 1508881665 2112434331 3017763330 3520723885 4224868662 7041447770 10562171655 21124343310