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102412113112100 = 225211216750681503
BaseRepresentation
bin10111010010010010101101…
…100111110110110000100100
3111102121111120020200121020002
4113102102231213312300210
5101410410001424041400
61001451250354000432
730400013430251051
oct2722225547666044
9442544506617202
10102412113112100
112a6a4807a78800
12b5a01a1576118
13451b561734bac
141b40ab64c8028
15bc8e9280aed5
hex5d24ad9f6c24

102412113112100 has 108 divisors (see below), whose sum is σ = 245736773006592. Its totient is φ = 37017769060800.

The previous prime is 102412113112063. The next prime is 102412113112147. The reversal of 102412113112100 is 1211311214201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23320052 + ... + 27361451.

Almost surely, 2102412113112100 is an apocalyptic number.

102412113112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102412113112100 is an abundant number, since it is smaller than the sum of its proper divisors (143324659894492).

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

102412113112100 is a wasteful number, since it uses less digits than its factorization.

102412113112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50681706 (or 50681688 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 102412113112100 its reverse (1211311214201), we get a palindrome (103623424326301).

The spelling of 102412113112100 in words is "one hundred two trillion, four hundred twelve billion, one hundred thirteen million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 167 220 242 275 334 484 550 605 668 835 1100 1210 1670 1837 2420 3025 3340 3674 4175 6050 7348 8350 9185 12100 16700 18370 20207 36740 40414 45925 80828 91850 101035 183700 202070 404140 505175 1010350 2020700 50681503 101363006 202726012 253407515 506815030 557496533 1013630060 1114993066 1267037575 2229986132 2534075150 2787482665 5068150300 5574965330 6132461863 8463811001 11149930660 12264923726 13937413325 16927622002 24529847452 27874826650 30662309315 33855244004 42319055005 55749653300 61324618630 84638110010 93101921011 122649237260 153311546575 169276220020 186203842022 211595275025 306623093150 372407684044 423190550050 465509605055 613246186300 846381100100 931019210110 1024121131121 1862038420220 2048242262242 2327548025275 4096484524484 4655096050550 5120605655605 9310192101100 10241211311210 20482422622420 25603028278025 51206056556050 102412113112100