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102223213202097 = 33131786316303769
BaseRepresentation
bin10111001111100010110010…
…010011111000101010110001
3111101221102222111011220122000
4113033202302103320222301
5101344311120034431342
61001224410145204213
730350245342435341
oct2717426223705261
9441842874156560
10102223213202097
112a6316919984a9
12b56b663330669
1345067b8cb5b10
141b358b66ccd21
15bc40d8ae744c
hex5cf8b24f8ab1

102223213202097 has 32 divisors (see below), whose sum is σ = 163100306476800. Its totient is φ = 62903067267456.

The previous prime is 102223213202023. The next prime is 102223213202129. The reversal of 102223213202097 is 790202312322201.

102223213202097 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 321 + 320 + 2 + 0 + 9 + 7 = 666.

It is not a de Polignac number, because 102223213202097 - 214 = 102223213185713 is a prime.

It is a super-2 number, since 2×1022232132020972 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102223213242097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881972 + ... + 14421797.

It is an arithmetic number, because the mean of its divisors is an integer number (5096884577400).

Almost surely, 2102223213202097 is an apocalyptic number.

It is an amenable number.

102223213202097 is a deficient number, since it is larger than the sum of its proper divisors (60877093274703).

102223213202097 is a wasteful number, since it uses less digits than its factorization.

102223213202097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16321654 (or 16321648 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 102223213202097 its reverse (790202312322201), we get a palindrome (892425525524298).

The spelling of 102223213202097 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred thirteen million, two hundred two thousand, ninety-seven".

Divisors: 1 3 9 13 27 39 117 351 17863 53589 160767 232219 482301 696657 2089971 6269913 16303769 48911307 146733921 211948997 440201763 635846991 1907540973 5722622919 291234225647 873702676941 2621108030823 3786044933411 7863324092469 11358134800233 34074404400699 102223213202097