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32231030130 = 232513197139837
BaseRepresentation
bin11110000001000111…
…100111110101110010
310002012020100222100200
4132001013213311302
51012002120431010
622450130500030
72220500143605
oct360107476562
9102166328320
1032231030130
111273a637a92
1262b6134616
13306866c580
1417ba88233c
15c89924cc0
hex7811e7d72

32231030130 has 96 divisors (see below), whose sum is σ = 90705639024. Its totient is φ = 7893462528.

The previous prime is 32231030129. The next prime is 32231030131. The reversal of 32231030130 is 3103013223.

32231030130 is a `hidden beast` number, since 3 + 22 + 310 + 301 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (32231030129) and next prime (32231030131).

It can be written as a sum of positive squares in 8 ways, for example, as 14951664729 + 17279365401 = 122277^2 + 131451^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (32231030131) 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 47 ways as a sum of consecutive naturals, for example, 160572 + ... + 300408.

Almost surely, 232231030130 is an apocalyptic number.

32231030130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32231030130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45352819512).

32231030130 is an abundant number, since it is smaller than the sum of its proper divisors (58474608894).

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

32231030130 is a wasteful number, since it uses less digits than its factorization.

32231030130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140060 (or 140057 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32231030130 its reverse (3103013223), we get a palindrome (35334043353).

The spelling of 32231030130 in words is "thirty-two billion, two hundred thirty-one million, thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 197 234 390 394 585 591 985 1170 1182 1773 1970 2561 2955 3546 5122 5910 7683 8865 12805 15366 17730 23049 25610 38415 46098 76830 115245 139837 230490 279674 419511 699185 839022 1258533 1398370 1817881 2097555 2517066 3635762 4195110 5453643 6292665 9089405 10907286 12585330 16360929 18178810 27268215 27547889 32721858 54536430 55095778 81804645 82643667 137739445 163609290 165287334 247931001 275478890 358122557 413218335 495862002 716245114 826436670 1074367671 1239655005 1790612785 2148735342 2479310010 3223103013 3581225570 5371838355 6446206026 10743676710 16115515065 32231030130