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12210213101310 = 2325753768147609
BaseRepresentation
bin1011000110101110100101…
…1010100001111011111110
31121020021200202010002110100
42301223221122201323332
53100023004023220220
641545143334221530
72400105314623050
oct261535132417376
947207622102410
1012210213101310
11398835aa811a4
1214525077b48a6
136a75588bc873
14302d982558d0
15162937ce8d90
hexb1ae96a1efe

12210213101310 has 192 divisors, whose sum is σ = 36971927141760. Its totient is φ = 2737833246720.

The previous prime is 12210213101309. The next prime is 12210213101377. The reversal of 12210213101310 is 1310131201221.

12210213101310 is a `hidden beast` number, since 1 + 2 + 21 + 0 + 21 + 310 + 1 + 310 = 666.

It is a super-2 number, since 2×122102131013102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256444786 + ... + 256492394.

It is an arithmetic number, because the mean of its divisors is an integer number (192562120530).

Almost surely, 212210213101310 is an apocalyptic number.

12210213101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210213101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18485963570880).

12210213101310 is an abundant number, since it is smaller than the sum of its proper divisors (24761714040450).

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

12210213101310 is a wasteful number, since it uses less digits than its factorization.

12210213101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55363 (or 55360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12210213101310 its reverse (1310131201221), we get a palindrome (13520344302531).

The spelling of 12210213101310 in words is "twelve trillion, two hundred ten billion, two hundred thirteen million, one hundred one thousand, three hundred ten".