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101015520012 = 223311103825533
BaseRepresentation
bin101111000010011111…
…1101000001100001100
3100122201221112002211000
41132010333220030030
53123334433120022
6114223401100300
710204154516151
oct1360477501414
9318657462730
10101015520012
113992769a340
12176b1a87690
1396ab021b64
144c63c8c228
1529634846ac
hex1784fe830c

101015520012 has 96 divisors (see below), whose sum is σ = 288474600960. Its totient is φ = 30313535040.

The previous prime is 101015519999. The next prime is 101015520029. The reversal of 101015520012 is 210025510101.

101015520012 is a `hidden beast` number, since 1 + 0 + 101 + 552 + 0 + 0 + 12 = 666.

101015520012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 290403 + ... + 535130.

It is an arithmetic number, because the mean of its divisors is an integer number (3004943760).

Almost surely, 2101015520012 is an apocalyptic number.

101015520012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101015520012 is an abundant number, since it is smaller than the sum of its proper divisors (187459080948).

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

101015520012 is a wasteful number, since it uses less digits than its factorization.

101015520012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825660 (or 825652 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The spelling of 101015520012 in words is "one hundred one billion, fifteen million, five hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 103 108 132 198 206 297 309 396 412 594 618 927 1133 1188 1236 1854 2266 2781 3399 3708 4532 5562 6798 10197 11124 13596 20394 30591 40788 61182 122364 825533 1651066 2476599 3302132 4953198 7429797 9080863 9906396 14859594 18161726 22289391 27242589 29719188 36323452 44578782 54485178 81727767 85029899 89157564 108970356 163455534 170059798 245183301 255089697 326911068 340119596 490366602 510179394 765269091 935328889 980733204 1020358788 1530538182 1870657778 2295807273 2805986667 3061076364 3741315556 4591614546 5611973334 8417960001 9183229092 11223946668 16835920002 25253880003 33671840004 50507760006 101015520012