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100332232240 = 2451823687961
BaseRepresentation
bin101110101110001000…
…1000101111000110000
3100120222022210111012111
41131130101011320300
53120440022412430
6114031511535104
710151216621422
oct1353421057060
9316868714174
10100332232240
1139606a250a9
121754108a494
1395cc5b4576
144bdb224812
1529234b3c2a
hex175c445e30

100332232240 has 40 divisors (see below), whose sum is σ = 233400739968. Its totient is φ = 40110819840.

The previous prime is 100332232229. The next prime is 100332232249. The reversal of 100332232240 is 42232233001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1003322322402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100332232249) 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 7 ways as a sum of consecutive naturals, for example, 198141 + ... + 489820.

Almost surely, 2100332232240 is an apocalyptic number.

100332232240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100332232240 is an abundant number, since it is smaller than the sum of its proper divisors (133068507728).

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

100332232240 is a wasteful number, since it uses less digits than its factorization.

100332232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689797 (or 689791 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 100332232240 its reverse (42232233001), we get a palindrome (142564465241).

The spelling of 100332232240 in words is "one hundred billion, three hundred thirty-two million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1823 3646 7292 9115 14584 18230 29168 36460 72920 145840 687961 1375922 2751844 3439805 5503688 6879610 11007376 13759220 27518440 55036880 1254152903 2508305806 5016611612 6270764515 10033223224 12541529030 20066446448 25083058060 50166116120 100332232240