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43101612312 = 23311223228057
BaseRepresentation
bin101000001001000011…
…100110100100011000
311010020211021202201120
4220021003212210120
51201233003043222
631444533045240
73054045442203
oct501103464430
9133224252646
1043101612312
1117308811300
12842a786820
1340ab823415
14212c4a493a
1511c3e4d15c
hexa090e6918

43101612312 has 144 divisors (see below), whose sum is σ = 123818270520. Its totient is φ = 12492775680.

The previous prime is 43101612299. The next prime is 43101612313. The reversal of 43101612312 is 21321610134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43101612313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1522188 + ... + 1550244.

Almost surely, 243101612312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43101612312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61909135260).

43101612312 is an abundant number, since it is smaller than the sum of its proper divisors (80716658208).

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

43101612312 is a wasteful number, since it uses less digits than its factorization.

43101612312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28134 (or 28096 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 43101612312 in words is "forty-three billion, one hundred one million, six hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 529 552 726 759 968 1012 1058 1452 1518 1587 2024 2116 2783 2904 3036 3174 4232 5566 5819 6072 6348 8349 11132 11638 12696 16698 17457 22264 23276 28057 33396 34914 46552 56114 64009 66792 69828 84171 112228 128018 139656 168342 192027 224456 256036 308627 336684 384054 512072 617254 645311 673368 768108 925881 1234508 1290622 1536216 1851762 1935933 2469016 2581244 3394897 3703524 3871866 5162488 6789794 7098421 7407048 7743732 10184691 13579588 14196842 14842153 15487464 20369382 21295263 27159176 28393684 29684306 40738764 42590526 44526459 56787368 59368612 78082631 81477528 85181052 89052918 118737224 156165262 163263683 170362104 178105836 234247893 312330524 326527366 356211672 468495786 489791049 624661048 653054732 936991572 979582098 1306109464 1795900513 1873983144 1959164196 3591801026 3918328392 5387701539 7183602052 10775403078 14367204104 21550806156 43101612312