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100112203332 = 22322780894537
BaseRepresentation
bin101110100111100100…
…1101111111001000100
3100120101222202212021200
41131033021233321010
53120012211001312
6113554011542500
710142605454631
oct1351711577104
9316358685250
10100112203332
1139503802129
121749b45aa30
139595b3694b
144bb9d0b188
15290e0000dc
hex174f26fe44

100112203332 has 18 divisors (see below), whose sum is σ = 253061402958. Its totient is φ = 33370734432.

The previous prime is 100112203309. The next prime is 100112203333. The reversal of 100112203332 is 233302211001.

100112203332 is a `hidden beast` number, since 100 + 11 + 220 + 3 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53095219776 + 47016983556 = 230424^2 + 216834^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100112203333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390447233 + ... + 1390447304.

It is an arithmetic number, because the mean of its divisors is an integer number (14058966831).

Almost surely, 2100112203332 is an apocalyptic number.

100112203332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112203332 is an abundant number, since it is smaller than the sum of its proper divisors (152949199626).

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

100112203332 is a wasteful number, since it uses less digits than its factorization.

100112203332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780894547 (or 2780894542 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100112203332 its reverse (233302211001), we get a palindrome (333414414333).

The spelling of 100112203332 in words is "one hundred billion, one hundred twelve million, two hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2780894537 5561789074 8342683611 11123578148 16685367222 25028050833 33370734444 50056101666 100112203332