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102112122221112 = 23379401134305747
BaseRepresentation
bin10111001101111011010100…
…110001011011001000111000
3111101112211020100220100200210
4113031323110301123020320
5101341001111242033422
61001101354504031120
730336233402614323
oct2715732461331070
9441484210810623
10102112122221112
112a599564a33213
12b55201b1624a0
1344c9193775443
141b303786777ba
15bc1285d4b10c
hex5cded4c5b238

102112122221112 has 64 divisors (see below), whose sum is σ = 259156371340800. Its totient is φ = 33522714201600.

The previous prime is 102112122221093. The next prime is 102112122221149. The reversal of 102112122221112 is 211122221211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66392578 + ... + 67913169.

It is an arithmetic number, because the mean of its divisors is an integer number (4049318302200).

Almost surely, 2102112122221112 is an apocalyptic number.

102112122221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112122221112 is an abundant number, since it is smaller than the sum of its proper divisors (157044249119688).

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

102112122221112 is a wasteful number, since it uses less digits than its factorization.

102112122221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134306236 (or 134306232 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 102112122221112 its reverse (211122221211201), we get a palindrome (313234343432313).

The spelling of 102112122221112 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 401 474 632 802 948 1203 1604 1896 2406 3208 4812 9624 31679 63358 95037 126716 190074 253432 380148 760296 134305747 268611494 402917241 537222988 805834482 1074445976 1611668964 3223337928 10610154013 21220308026 31830462039 42440616052 53856604547 63660924078 84881232104 107713209094 127321848156 161569813641 215426418188 254643696312 323139627282 430852836376 646279254564 1292558509128 4254671759213 8509343518426 12764015277639 17018687036852 25528030555278 34037374073704 51056061110556 102112122221112