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102320213319 = 32411012745451
BaseRepresentation
bin101111101001011000…
…0101000110101000111
3100210002212112101120100
41133102300220311013
53134022433311234
6115001045135143
710251406314552
oct1372260506507
9323085471510
10102320213319
113a437102775
12179b69ba4b3
13985841112c
144d49271699
1529dcca0399
hex17d2c28d47

102320213319 has 24 divisors (see below), whose sum is σ = 152899712784. Its totient is φ = 65890800000.

The previous prime is 102320213299. The next prime is 102320213371. The reversal of 102320213319 is 913312023201.

102320213319 is a `hidden beast` number, since 1 + 0 + 2 + 320 + 2 + 1 + 331 + 9 = 666.

It is not a de Polignac number, because 102320213319 - 227 = 102185995591 is a prime.

It is a super-2 number, since 2×1023202133192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102320213292 and 102320213301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320213389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335457 + ... + 1409994.

It is an arithmetic number, because the mean of its divisors is an integer number (6370821366).

Almost surely, 2102320213319 is an apocalyptic number.

102320213319 is a deficient number, since it is larger than the sum of its proper divisors (50579499465).

102320213319 is a wasteful number, since it uses less digits than its factorization.

102320213319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745599 (or 2745596 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 102320213319 in words is "one hundred two billion, three hundred twenty million, two hundred thirteen thousand, three hundred nineteen".

Divisors: 1 3 9 41 101 123 303 369 909 4141 12423 37269 2745451 8236353 24709059 112563491 277290551 337690473 831871653 1013071419 2495614959 11368912591 34106737773 102320213319