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31033221001232 = 2429371807620049
BaseRepresentation
bin1110000111001011111000…
…00111010011000000010000
311001212202011112021220101012
413003211330013103000100
513031422014034014412
6150000244231030052
76352035101113232
oct703457407230020
9131782145256335
1031033221001232
11998512a24796a
123592542b0b328
1314415601b2768
14794031932252
1538c3a2d14c22
hex1c397c1d3010

31033221001232 has 40 divisors (see below), whose sum is σ = 63881292567000. Its totient is φ = 14576648067072.

The previous prime is 31033221001103. The next prime is 31033221001241. The reversal of 31033221001232 is 23210012233013.

It can be written as a sum of positive squares in 4 ways, for example, as 5546232241936 + 25486988759296 = 2355044^2 + 5048464^2 .

It is a super-2 number, since 2×310332210012322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31033221001198 and 31033221001207.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 903792857 + ... + 903827192.

It is an arithmetic number, because the mean of its divisors is an integer number (1597032314175).

Almost surely, 231033221001232 is an apocalyptic number.

It is an amenable number.

31033221001232 is an abundant number, since it is smaller than the sum of its proper divisors (32848071565768).

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

31033221001232 is a wasteful number, since it uses less digits than its factorization.

31033221001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807620123 (or 1807620117 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 31033221001232 its reverse (23210012233013), we get a palindrome (54243233234245).

The spelling of 31033221001232 in words is "thirty-one trillion, thirty-three billion, two hundred twenty-one million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 1073 2146 4292 8584 17168 1807620049 3615240098 7230480196 14460960392 28921920784 52420981421 66881941813 104841962842 133763883626 209683925684 267527767252 419367851368 535055534504 838735702736 1070111069008 1939576312577 3879152625154 7758305250308 15516610500616 31033221001232