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930211191831 = 3832220320431
BaseRepresentation
bin11011000100101001110…
…10000101110000010111
310021221001000110122100010
431202110322011300113
5110220033031114311
61551155542051303
7124130333446005
oct15422472056027
93257030418303
10930211191831
11329555a70429
12130345a19b33
136994582668c
14330458c7a75
15192e4970da6
hexd894e85c17

930211191831 has 24 divisors (see below), whose sum is σ = 1256036114176. Its totient is φ = 612361138320.

The previous prime is 930211191829. The next prime is 930211191841. The reversal of 930211191831 is 138191112039.

It is not a de Polignac number, because 930211191831 - 21 = 930211191829 is a prime.

It is a super-2 number, since 2×9302111918312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 930211191831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930211191841) 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, 45519186 + ... + 45539616.

Almost surely, 2930211191831 is an apocalyptic number.

930211191831 is a deficient number, since it is larger than the sum of its proper divisors (325824922345).

930211191831 is a wasteful number, since it uses less digits than its factorization.

930211191831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22803 (or 22720 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 930211191831 in words is "nine hundred thirty billion, two hundred eleven million, one hundred ninety-one thousand, eight hundred thirty-one".

Divisors: 1 3 83 249 2203 6609 6889 20431 20667 61293 182849 548547 1695773 5087319 15176467 45009493 45529401 135028479 140749159 422247477 3735787919 11207363757 310070397277 930211191831