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21751404312 = 2331131096247
BaseRepresentation
bin10100010000011111…
…000001011100011000
32002010220002211022010
4110100133001130120
5324021324414222
613554212025520
71400006612631
oct242037013430
962126084263
1021751404312
119252112000
1242706022a0
1320884b1851
1410a4b4c888
158748c580c
hex5107c1718

21751404312 has 128 divisors (see below), whose sum is σ = 60370675200. Its totient is φ = 6529818240.

The previous prime is 21751404287. The next prime is 21751404319. The reversal of 21751404312 is 21340415712.

It is a self number, because there is not a number n which added to its sum of digits gives 21751404312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21751404319) 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, 3478773 + ... + 3485019.

It is an arithmetic number, because the mean of its divisors is an integer number (471645900).

Almost surely, 221751404312 is an apocalyptic number.

21751404312 is a gapful number since it is divisible by the number (22) 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 21751404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30185337600).

21751404312 is an abundant number, since it is smaller than the sum of its proper divisors (38619270888).

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

21751404312 is a wasteful number, since it uses less digits than its factorization.

21751404312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 21751404312 in words is "twenty-one billion, seven hundred fifty-one million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 121 132 218 242 264 327 363 436 484 654 726 872 968 1199 1308 1331 1452 2398 2616 2662 2904 3597 3993 4796 5324 6247 7194 7986 9592 10648 12494 13189 14388 15972 18741 24988 26378 28776 31944 37482 39567 49976 52756 68717 74964 79134 105512 137434 145079 149928 158268 206151 274868 290158 316536 412302 435237 549736 580316 680923 755887 824604 870474 1160632 1361846 1511774 1649208 1740948 2042769 2267661 2723692 3023548 3481896 4085538 4535322 5447384 6047096 7490153 8171076 8314757 9070644 14980306 16342152 16629514 18141288 22470459 24944271 29960612 33259028 44940918 49888542 59921224 66518056 82391683 89881836 99777084 164783366 179763672 199554168 247175049 329566732 494350098 659133464 906308513 988700196 1812617026 1977400392 2718925539 3625234052 5437851078 7250468104 10875702156 21751404312