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102312121212213 = 3114003777437553
BaseRepresentation
bin10111010000110101100101…
…101001000001110100110101
3111102020221110122021210020120
4113100311211221001310311
5101402240211012242323
61001333312320322153
730356543512160043
oct2720654551016465
9442227418253216
10102312121212213
112a666366175410
12b584936473359
134511cb7800323
141b39d0c575393
15bc658e1715e3
hex5d0d65a41d35

102312121212213 has 16 divisors (see below), whose sum is σ = 148821349778496. Its totient is φ = 62005796637440.

The previous prime is 102312121212179. The next prime is 102312121212247. The reversal of 102312121212213 is 312212121213201.

It is an interprime number because it is at equal distance from previous prime (102312121212179) and next prime (102312121212247).

It is a cyclic number.

It is not a de Polignac number, because 102312121212213 - 28 = 102312121211957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312021212213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37397556 + ... + 40039997.

It is an arithmetic number, because the mean of its divisors is an integer number (9301334361156).

Almost surely, 2102312121212213 is an apocalyptic number.

It is an amenable number.

102312121212213 is a deficient number, since it is larger than the sum of its proper divisors (46509228566283).

102312121212213 is a wasteful number, since it uses less digits than its factorization.

102312121212213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77477604.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 102312121212213 its reverse (312212121213201), we get a palindrome (414524242425414).

The spelling of 102312121212213 in words is "one hundred two trillion, three hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 11 33 40037 120111 440407 1321221 77437553 232312659 851813083 2555439249 3100367309461 9301101928383 34104040404071 102312121212213