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102111212112 = 24372133339587
BaseRepresentation
bin101111100011001001…
…1010111001001010000
3100202120022021000210220
41133012103113021100
53133110432241422
6114524221353040
710243260660600
oct1370623271120
9322508230726
10102111212112
113a33a131aa8
1217958a08780
139824024a90
144d295c8c00
1529c9768e5c
hex17c64d7250

102111212112 has 120 divisors (see below), whose sum is σ = 330458911776. Its totient is φ = 26930421504.

The previous prime is 102111212111. The next prime is 102111212123. The reversal of 102111212112 is 211212111201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102111212091 and 102111212100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111212111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1639218 + ... + 1700369.

Almost surely, 2102111212112 is an apocalyptic number.

102111212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102111212112 is an abundant number, since it is smaller than the sum of its proper divisors (228347699664).

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

102111212112 is a wasteful number, since it uses less digits than its factorization.

102111212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339625 (or 3339612 counting only the distinct ones).

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

Adding to 102111212112 its reverse (211212111201), we get a palindrome (313323323313).

The spelling of 102111212112 in words is "one hundred two billion, one hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 3339587 6679174 10018761 13358348 20037522 23377109 26716696 40075044 43414631 46754218 53433392 70131327 80150088 86829262 93508436 130243893 140262654 160300176 163639763 173658524 187016872 260487786 280525308 303902417 327279526 347317048 374033744 490919289 520975572 561050616 607804834 654559052 694634096 911707251 981838578 1041951144 1122101232 1215609668 1309118104 1823414502 1963677156 2083902288 2127316919 2431219336 2618236208 3646829004 3927354312 4254633838 4862438672 6381950757 7293658008 7854708624 8509267676 12763901514 14587316016 17018535352 25527803028 34037070704 51055606056 102111212112