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105031147628 = 2211234112831973
BaseRepresentation
bin110000111010001011…
…0000010000001101100
3101001002210122010022202
41201310112002001230
53210100433211003
6120130050001032
710405525011251
oct1416426020154
9331083563282
10105031147628
11405a8387850
1218432876178
139b9ac55784
14512530d428
152aeac95088
hex187458206c

105031147628 has 96 divisors (see below), whose sum is σ = 214611005952. Its totient is φ = 44494630400.

The previous prime is 105031147607. The next prime is 105031147631. The reversal of 105031147628 is 826741130501.

It is a super-2 number, since 2×1050311476282 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105031147591 and 105031147600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53233250 + ... + 53235222.

It is an arithmetic number, because the mean of its divisors is an integer number (2235531312).

Almost surely, 2105031147628 is an apocalyptic number.

It is an amenable number.

105031147628 is an abundant number, since it is smaller than the sum of its proper divisors (109579858324).

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

105031147628 is a wasteful number, since it uses less digits than its factorization.

105031147628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 105031147628 in words is "one hundred five billion, thirty-one million, one hundred forty-seven thousand, six hundred twenty-eight".

Divisors: 1 2 4 11 22 23 41 44 46 82 92 164 253 451 506 902 943 1012 1283 1804 1886 1973 2566 3772 3946 5132 7892 10373 14113 20746 21703 28226 29509 41492 43406 45379 52603 56452 59018 80893 86812 90758 105206 118036 161786 181516 210412 323572 324599 499169 578633 649198 889823 998338 1157266 1209869 1298396 1779646 1860539 1996676 2314532 2419738 2531359 3559292 3721078 4839476 5062718 7442156 10125436 13308559 20465929 26617118 27844949 40931858 53234236 55689898 58221257 81863716 103785719 111379796 116442514 207571438 232885028 415142876 640433827 1141642909 1280867654 2283285818 2387071537 2561735308 4566571636 4774143074 9548286148 26257786907 52515573814 105031147628