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101212011104 = 25173125123911
BaseRepresentation
bin101111001000010110…
…1001011101001100000
3100200020122020212220212
41132100231023221200
53124240233323404
6114255100353252
710212061620401
oct1362055135140
9320218225825
10101212011104
1139a185a5a76
1217747845828
13970c94ac89
144c81dd99a8
15297584906e
hex1790b4ba60

101212011104 has 96 divisors (see below), whose sum is σ = 218665101312. Its totient is φ = 45907200000.

The previous prime is 101212011067. The next prime is 101212011139. The reversal of 101212011104 is 401110212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220909 + ... + 4244819.

It is an arithmetic number, because the mean of its divisors is an integer number (2277761472).

Almost surely, 2101212011104 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 101212011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109332550656).

101212011104 is an abundant number, since it is smaller than the sum of its proper divisors (117453090208).

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

101212011104 is a wasteful number, since it uses less digits than its factorization.

101212011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24220 (or 24212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101212011104 its reverse (401110212101), we get a palindrome (502322223205).

The spelling of 101212011104 in words is "one hundred one billion, two hundred twelve million, eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 251 272 496 502 527 544 992 1004 1054 2008 2108 4016 4216 4267 7781 8032 8432 8534 15562 16864 17068 23911 31124 34136 47822 62248 68272 95644 124496 132277 136544 191288 248992 264554 382576 406487 529108 741241 765152 812974 1058216 1482482 1625948 2116432 2964964 3251896 4232864 5929928 6001661 6503792 11859856 12003322 12601097 13007584 23719712 24006644 25202194 48013288 50404388 96026576 100808776 102028237 186051491 192053152 201617552 204056474 372102982 403235104 408112948 744205964 816225896 1488411928 1632451792 2976823856 3162875347 3264903584 5953647712 6325750694 12651501388 25303002776 50606005552 101212011104