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102022120000212 = 223191166326766247
BaseRepresentation
bin10111001100100111100000…
…001110001100101011010100
3111101020012220221211211001220
4113030213200032030223110
5101333012300210001322
61000552152004050340
730326566145430666
oct2714474016145324
9441205827754056
10102022120000212
112a56437a035575
12b5386a16939b0
1344c084c356329
141b29c7b35c536
15bbdc696d155c
hex5cc9e038cad4

102022120000212 has 48 divisors (see below), whose sum is σ = 239441861148672. Its totient is φ = 33808980647520.

The previous prime is 102022120000187. The next prime is 102022120000259. The reversal of 102022120000212 is 212000021220201.

It is a junction number, because it is equal to n+sod(n) for n = 102022120000191 and 102022120000200.

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, 9571528 + ... + 17194719.

It is an arithmetic number, because the mean of its divisors is an integer number (4988372107264).

Almost surely, 2102022120000212 is an apocalyptic number.

102022120000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022120000212 is an abundant number, since it is smaller than the sum of its proper divisors (137419741148460).

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

102022120000212 is a wasteful number, since it uses less digits than its factorization.

102022120000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26768108 (or 26768106 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102022120000212 its reverse (212000021220201), we get a palindrome (314022141220413).

The spelling of 102022120000212 in words is "one hundred two trillion, twenty-two billion, one hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 191 382 573 764 1146 1663 2292 3326 4989 6652 9978 19956 317633 635266 952899 1270532 1905798 3811596 26766247 53532494 80298741 107064988 160597482 321194964 5112353177 10224706354 15337059531 20449412708 30674119062 44512268761 61348238124 89024537522 133536806283 178049075044 267073612566 534147225132 8501843333351 17003686666702 25505530000053 34007373333404 51011060000106 102022120000212