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100312311232 = 2671911784811
BaseRepresentation
bin101110101101100010…
…1000110010111000000
3100120220221022101201101
41131123011012113000
53120414422424412
6114025520544144
710150555401610
oct1353305062700
9316827271641
10100312311232
11395a6759161
1217536482054
1395c842b0a3
144bd871aa40
15292187b457
hex175b1465c0

100312311232 has 56 divisors (see below), whose sum is σ = 239467379840. Its totient is φ = 40728303360.

The previous prime is 100312311227. The next prime is 100312311331. The reversal of 100312311232 is 232113213001.

100312311232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

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, 5883894 + ... + 5900917.

Almost surely, 2100312311232 is an apocalyptic number.

It is an amenable number.

100312311232 is an abundant number, since it is smaller than the sum of its proper divisors (139155068608).

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

100312311232 is a wasteful number, since it uses less digits than its factorization.

100312311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11784849 (or 11784839 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100312311232 its reverse (232113213001), we get a palindrome (332425524233).

The spelling of 100312311232 in words is "one hundred billion, three hundred twelve million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 11784811 23569622 47139244 82493677 94278488 164987354 188556976 223911409 329974708 377113952 447822818 659949416 754227904 895645636 1319898832 1567379863 1791291272 2639797664 3134759726 3582582544 5279595328 6269519452 7165165088 12539038904 14330330176 25078077808 50156155616 100312311232