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100340230432 = 25131714188381
BaseRepresentation
bin101110101110010111…
…1100110100100100000
3100120222212211211122211
41131130233212210200
53120444044333212
6114032355211504
710151344612651
oct1353457464440
9316885754584
10100340230432
1139610498282
12175438a6b94
139601154c20
144bdc307528
1529240439a7
hex175cbe6920

100340230432 has 48 divisors (see below), whose sum is σ = 225254752632. Its totient is φ = 43586703360.

The previous prime is 100340230409. The next prime is 100340230439. The reversal of 100340230432 is 234032043001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99883809936 + 456420496 = 316044^2 + 21364^2 .

It is not an unprimeable number, because it can be changed into a prime (100340230439) 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 7 ways as a sum of consecutive naturals, for example, 7087119 + ... + 7101262.

Almost surely, 2100340230432 is an apocalyptic number.

It is an amenable number.

100340230432 is an abundant number, since it is smaller than the sum of its proper divisors (124914522200).

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

100340230432 is a wasteful number, since it uses less digits than its factorization.

100340230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14188421 (or 14188413 counting only the distinct ones).

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

Adding to 100340230432 its reverse (234032043001), we get a palindrome (334372273433).

The spelling of 100340230432 in words is "one hundred billion, three hundred forty million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 14188381 28376762 56753524 113507048 184448953 227014096 241202477 368897906 454028192 482404954 737795812 964809908 1475591624 1929619816 2951183248 3135632201 3859239632 5902366496 6271264402 7718479264 12542528804 25085057608 50170115216 100340230432