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31420212124 = 2271773390053
BaseRepresentation
bin11101010000110010…
…100110001110011100
310000002201200011011011
4131100302212032130
51003322033241444
622233444105004
72161423252660
oct352062461634
9100081604134
1031420212124
1112363988464
12610a695164
132c6969c6c2
141740cdc8a0
15c3d662734
hex750ca639c

31420212124 has 48 divisors (see below), whose sum is σ = 66628433088. Its totient is φ = 12656268288.

The previous prime is 31420212059. The next prime is 31420212127. The reversal of 31420212124 is 42121202413.

It is a junction number, because it is equal to n+sod(n) for n = 31420212095 and 31420212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420212127) 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, 303882 + ... + 393934.

It is an arithmetic number, because the mean of its divisors is an integer number (1388092356).

Almost surely, 231420212124 is an apocalyptic number.

31420212124 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31420212124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33314216544).

31420212124 is an abundant number, since it is smaller than the sum of its proper divisors (35208220964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31420212124 is a wasteful number, since it uses less digits than its factorization.

31420212124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90814 (or 90812 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 31420212124 its reverse (42121202413), we get a palindrome (73541414537).

The spelling of 31420212124 in words is "thirty-one billion, four hundred twenty million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 733 1466 2932 5131 10262 12461 20524 24922 49844 87227 90053 174454 180106 348908 360212 630371 1260742 1530901 2521484 3061802 6123604 10716307 21432614 42865228 66008849 132017698 264035396 462061943 924123886 1122150433 1848247772 2244300866 4488601732 7855053031 15710106062 31420212124