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100140132232 = 23722961144409
BaseRepresentation
bin101110101000011010…
…0010010011110001000
3100120110221022210112101
41131100310102132020
53120041333212412
6114000450323144
710143365036200
oct1352064223610
9316427283471
10100140132232
1139518548568
12174a88894b4
13959b86501a
144bbd8db400
1529116ba457
hex1750d12788

100140132232 has 96 divisors (see below), whose sum is σ = 229655223000. Its totient is φ = 40757713920.

The previous prime is 100140132227. The next prime is 100140132233. The reversal of 100140132232 is 232231041001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91521980676 + 8618151556 = 302526^2 + 92834^2 .

It is not an unprimeable number, because it can be changed into a prime (100140132233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621244 + ... + 765652.

Almost surely, 2100140132232 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 100140132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114827611500).

100140132232 is an abundant number, since it is smaller than the sum of its proper divisors (129515090768).

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

100140132232 is a wasteful number, since it uses less digits than its factorization.

100140132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144519 (or 144508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100140132232 its reverse (232231041001), we get a palindrome (332371173233).

The spelling of 100140132232 in words is "one hundred billion, one hundred forty million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 61 98 116 122 196 203 232 244 392 406 427 488 812 854 1421 1624 1708 1769 2842 2989 3416 3538 5684 5978 7076 11368 11956 12383 14152 23912 24766 49532 86681 99064 144409 173362 288818 346724 577636 693448 1010863 1155272 2021726 4043452 4187861 7076041 8086904 8375722 8808949 14152082 16751444 17617898 28304164 29315027 33502888 35235796 56608328 58630054 61662643 70471592 117260108 123325286 205205189 234520216 246650572 255459521 410410378 431638501 493301144 510919042 820820756 863277002 1021838084 1641641512 1726554004 1788216647 2043676168 3453108008 3576433294 7152866588 12517516529 14305733176 25035033058 50070066116 100140132232