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102111003213 = 31917831004723
BaseRepresentation
bin101111100011001001…
…0100100001001001101
3100202120021212102020220
41133012102210021031
53133110404100323
6114524213101553
710243256130552
oct1370622441115
9322507772226
10102111003213
113a339aaa05a
12179589278b9
139823c8097b
144d29572a29
1529c97270e3
hex17c64a424d

102111003213 has 16 divisors (see below), whose sum is σ = 143394209280. Its totient is φ = 64454925744.

The previous prime is 102111003143. The next prime is 102111003221. The reversal of 102111003213 is 312300111201.

It is a happy number.

It is not a de Polignac number, because 102111003213 - 212 = 102110999117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102111003192 and 102111003201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111003263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400731 + ... + 603992.

It is an arithmetic number, because the mean of its divisors is an integer number (8962138080).

Almost surely, 2102111003213 is an apocalyptic number.

It is an amenable number.

102111003213 is a deficient number, since it is larger than the sum of its proper divisors (41283206067).

102111003213 is a wasteful number, since it uses less digits than its factorization.

102111003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006528.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102111003213 its reverse (312300111201), we get a palindrome (414411114414).

The spelling of 102111003213 in words is "one hundred two billion, one hundred eleven million, three thousand, two hundred thirteen".

Divisors: 1 3 19 57 1783 5349 33877 101631 1004723 3014169 19089737 57269211 1791421109 5374263327 34037001071 102111003213