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100313259232 = 25127913271847
BaseRepresentation
bin101110101101100100…
…0101101110011100000
3100120221000002120010111
41131123020231303200
53120420143243412
6114025553141104
710150566430504
oct1353310556340
9316830076114
10100313259232
11395a724642a
121753685a794
1395c86a0734
144bd88c6304
1529219b72a7
hex175b22dce0

100313259232 has 48 divisors (see below), whose sum is σ = 197902172160. Its totient is φ = 50052532608.

The previous prime is 100313259223. The next prime is 100313259281. The reversal of 100313259232 is 232952313001.

It is a junction number, because it is equal to n+sod(n) for n = 100313259194 and 100313259203.

It is a congruent number.

It is an unprimeable number.

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, 54310533 + ... + 54312379.

It is an arithmetic number, because the mean of its divisors is an integer number (4122961920).

Almost surely, 2100313259232 is an apocalyptic number.

It is an amenable number.

100313259232 is a deficient number, since it is larger than the sum of its proper divisors (97588912928).

100313259232 is a wasteful number, since it uses less digits than its factorization.

100313259232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 100313259232 in words is "one hundred billion, three hundred thirteen million, two hundred fifty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 1279 1327 1847 2558 2654 3694 5116 5308 7388 10232 10616 14776 20464 21232 29552 40928 42464 59104 1697233 2362313 2450969 3394466 4724626 4901938 6788932 9449252 9803876 13577864 18898504 19607752 27155728 37797008 39215504 54311456 75594016 78431008 3134789351 6269578702 12539157404 25078314808 50156629616 100313259232