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100131233312 = 251110914991741
BaseRepresentation
bin101110101000001001…
…0010101111000100000
3100120110022120200111202
41131100102111320200
53120032043431222
6113555531500332
710143226303625
oct1352022257040
9316408520452
10100131233312
113951351a690
12174a58b76a8
139599a6a6a6
144bbc66234c
152910a0d892
hex1750495e20

100131233312 has 96 divisors (see below), whose sum is σ = 217297080000. Its totient is φ = 45040665600.

The previous prime is 100131233311. The next prime is 100131233329. The reversal of 100131233312 is 213332131001.

It is not an unprimeable number, because it can be changed into a prime (100131233311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57512762 + ... + 57514502.

It is an arithmetic number, because the mean of its divisors is an integer number (2263511250).

Almost surely, 2100131233312 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 100131233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108648540000).

100131233312 is an abundant number, since it is smaller than the sum of its proper divisors (117165846688).

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

100131233312 is a wasteful number, since it uses less digits than its factorization.

100131233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100131233312 its reverse (213332131001), we get a palindrome (313463364313).

The spelling of 100131233312 in words is "one hundred billion, one hundred thirty-one million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 176 218 352 436 872 1199 1499 1741 1744 2398 2998 3482 3488 4796 5996 6964 9592 11992 13928 16489 19151 19184 23984 27856 32978 38302 38368 47968 55712 65956 76604 131912 153208 163391 189769 263824 306416 326782 379538 527648 612832 653564 759076 1307128 1518152 1797301 2087459 2609759 2614256 3036304 3594602 4174918 5219518 5228512 6072608 7189204 8349836 10439036 14378408 16699672 20878072 28707349 28756816 33399344 41756144 57414698 57513632 66798688 83512288 114829396 229658792 284463731 459317584 568927462 918635168 1137854924 2275709848 3129101041 4551419696 6258202082 9102839392 12516404164 25032808328 50065616656 100131233312