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31221212424 = 23337107328589
BaseRepresentation
bin11101000100111011…
…011110010100001000
32222120212012220212220
4131010323132110020
51002420112244144
622202014534040
72153455632633
oct350473362410
988525186786
1031221212424
1112271618aa6
126073b07320
132c373a57bc
1417226dac1a
15c2ae54919
hex744ede508

31221212424 has 64 divisors (see below), whose sum is σ = 80912001600. Its totient is φ = 10031134464.

The previous prime is 31221212423. The next prime is 31221212443. The reversal of 31221212424 is 42421212213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31221212394 and 31221212403.

It is not an unprimeable number, because it can be changed into a prime (31221212423) 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, 69279 + ... + 259310.

It is an arithmetic number, because the mean of its divisors is an integer number (1264250025).

Almost surely, 231221212424 is an apocalyptic number.

It is an amenable number.

31221212424 is an abundant number, since it is smaller than the sum of its proper divisors (49690789176).

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

31221212424 is a wasteful number, since it uses less digits than its factorization.

31221212424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328742 (or 328738 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 31221212424 its reverse (42421212213), we get a palindrome (73642424637).

The spelling of 31221212424 in words is "thirty-one billion, two hundred twenty-one million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 107 111 148 214 222 296 321 428 444 642 856 888 1284 2568 3959 7918 11877 15836 23754 31672 47508 95016 328589 657178 985767 1314356 1971534 2628712 3943068 7886136 12157793 24315586 35159023 36473379 48631172 70318046 72946758 97262344 105477069 140636092 145893516 210954138 281272184 291787032 421908276 843816552 1300883851 2601767702 3902651553 5203535404 7805303106 10407070808 15610606212 31221212424