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12310122010100 = 2252683415343399
BaseRepresentation
bin1011001100100010110001…
…1100110001010111110100
31121120211120120100112001112
42303020230130301113310
53103142112213310400
642103105245014152
72410243204422365
oct263105434612764
947524516315045
1012310122010100
113a16769a50102
12146994ab54358
136b3abb587785
14307b55163b6c
1516533403d835
hexb322c7315f4

12310122010100 has 72 divisors (see below), whose sum is σ = 26759134180800. Its totient is φ = 4915542170880.

The previous prime is 12310122010099. The next prime is 12310122010103. The reversal of 12310122010100 is 101022101321.

12310122010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310122010103) 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, 283628201 + ... + 283671599.

It is an arithmetic number, because the mean of its divisors is an integer number (371654641400).

Almost surely, 212310122010100 is an apocalyptic number.

12310122010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310122010100 is an abundant number, since it is smaller than the sum of its proper divisors (14449012170700).

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

12310122010100 is a wasteful number, since it uses less digits than its factorization.

12310122010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48249 (or 48242 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12310122010100 its reverse (101022101321), we get a palindrome (12411144111421).

The spelling of 12310122010100 in words is "twelve trillion, three hundred ten billion, one hundred twenty-two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 683 1366 2732 3415 4153 6830 8306 13660 16612 17075 20765 34150 41530 43399 68300 83060 86798 103825 173596 207650 216995 415300 433990 867980 1084975 2169950 2836499 4339900 5672998 11345996 14182495 28364990 29641517 56729980 59283034 70912475 118566068 141824950 148207585 180236047 283649900 296415170 360472094 592830340 720944188 741037925 901180235 1482075850 1802360470 2964151700 3604720940 4505901175 9011802350 18023604700 123101220101 246202440202 492404880404 615506100505 1231012201010 2462024402020 3077530502525 6155061005050 12310122010100