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102112001110212 = 223113587231155511
BaseRepresentation
bin10111001101111011001101…
…100011011011000011000100
3111101112210220221000021202220
4113031323031203123003010
5101341000334241011322
61001101334500132340
730336230402315322
oct2715731543330304
9441483827007686
10102112001110212
112a599502632865
12b551ba66970b0
1344c917464c9a2
141b3036654cd12
15bc127a3c655c
hex5cdecd8db0c4

102112001110212 has 96 divisors (see below), whose sum is σ = 240887859738624. Its totient is φ = 33663466636800.

The previous prime is 102112001110201. The next prime is 102112001110279. The reversal of 102112001110212 is 212011100211201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102112001110191 and 102112001110200.

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, 1839463537 + ... + 1839519047.

It is an arithmetic number, because the mean of its divisors is an integer number (2509248538944).

Almost surely, 2102112001110212 is an apocalyptic number.

102112001110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112001110212 is an abundant number, since it is smaller than the sum of its proper divisors (138775858628412).

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

102112001110212 is a wasteful number, since it uses less digits than its factorization.

102112001110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58529 (or 58527 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102112001110212 its reverse (212011100211201), we get a palindrome (314123101321413).

The spelling of 102112001110212 in words is "one hundred two trillion, one hundred twelve billion, one million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 113 226 339 452 587 678 1174 1356 1761 2311 2348 3522 4622 6933 7044 9244 13866 27732 55511 66331 111022 132662 166533 198993 222044 261143 265324 333066 397986 522286 666132 783429 795972 1044572 1356557 1566858 2713114 3133716 4069671 5426228 6272743 8139342 12545486 16278684 18818229 25090972 32584957 37636458 65169914 75272916 97754871 128285921 130339828 153290941 195509742 256571842 306581882 384857763 391019484 459872823 513143684 613163764 769715526 919745646 1539431052 1839491292 3682100141 7364200282 11046300423 14496309073 14728400564 22092600846 28992618146 43488927219 44185201692 57985236292 75303835627 86977854438 150607671254 173955708876 225911506881 301215342508 451823013762 903646027524 8509333425851 17018666851702 25528000277553 34037333703404 51056000555106 102112001110212