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102212110122200 = 23521339312350047
BaseRepresentation
bin10111001111011000011100…
…100000111111110011011000
3111101220101022200210000100122
4113033120130200333303120
5101344120400142402300
61001215332315452412
730346403242012121
oct2717303440776330
9441811280700318
10102212110122200
112a627a04555211
12b569484a57108
134505739909b60
141b35141c69048
15bc3b88e95c85
hex5cf61c83fcd8

102212110122200 has 48 divisors (see below), whose sum is σ = 255923398812480. Its totient is φ = 37739856044160.

The previous prime is 102212110122191. The next prime is 102212110122329. The reversal of 102212110122200 is 2221011212201.

It is a super-3 number, since 3×1022121101222003 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19656172424 + ... + 19656177623.

It is an arithmetic number, because the mean of its divisors is an integer number (5331737475260).

Almost surely, 2102212110122200 is an apocalyptic number.

102212110122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212110122200 is an abundant number, since it is smaller than the sum of its proper divisors (153711288690280).

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

102212110122200 is a wasteful number, since it uses less digits than its factorization.

102212110122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39312350076 (or 39312350067 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102212110122200 its reverse (2221011212201), we get a palindrome (104433121334401).

The spelling of 102212110122200 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 39312350047 78624700094 157249400188 196561750235 314498800376 393123500470 511060550611 786247000940 982808751175 1022121101222 1572494001880 1965617502350 2044242202444 2555302753055 3931235004700 4088484404888 5110605506110 7862470009400 10221211012220 12776513765275 20442422024440 25553027530550 51106055061100 102212110122200