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30831211520 = 210510159621
BaseRepresentation
bin11100101101101011…
…101111010000000000
32221120200100211012222
4130231223233100000
51001120242232040
622055203510212
72141011655024
oct345553572000
987520324188
1030831211520
11120914625aa
125b85388368
132ba4655535
1416c69ba384
15c06ab8bb5
hex72daef400

30831211520 has 88 divisors (see below), whose sum is σ = 74692295208. Its totient is φ = 12210176000.

The previous prime is 30831211469. The next prime is 30831211549. The reversal of 30831211520 is 2511213803.

It can be written as a sum of positive squares in 4 ways, for example, as 15904236544 + 14926974976 = 126112^2 + 122176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30831211520.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 487310 + ... + 546930.

Almost surely, 230831211520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30831211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37346147604).

30831211520 is an abundant number, since it is smaller than the sum of its proper divisors (43861083688).

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

30831211520 is a wasteful number, since it uses less digits than its factorization.

30831211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59747 (or 59729 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 30831211520 in words is "thirty billion, eight hundred thirty-one million, two hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 1010 1024 1280 1616 2020 2560 3232 4040 5120 6464 8080 12928 16160 25856 32320 51712 59621 64640 103424 119242 129280 238484 258560 298105 476968 517120 596210 953936 1192420 1907872 2384840 3815744 4769680 6021721 7631488 9539360 12043442 15262976 19078720 24086884 30108605 30525952 38157440 48173768 60217210 61051904 76314880 96347536 120434420 152629760 192695072 240868840 305259520 385390144 481737680 770780288 963475360 1541560576 1926950720 3083121152 3853901440 6166242304 7707802880 15415605760 30831211520