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100112312202 = 237107101321991
BaseRepresentation
bin101110100111100101…
…0001010011110001010
3100120101222222101121220
41131033022022132022
53120012222442302
6113554014142510
710142606420220
oct1351712123612
9316358871556
10100112312202
1139503876a01
121749b4b1a36
139595b74376
144bb9d38b10
15290e0224bc
hex174f28a78a

100112312202 has 64 divisors (see below), whose sum is σ = 231205238784. Its totient is φ = 28306935360.

The previous prime is 100112312173. The next prime is 100112312227. The reversal of 100112312202 is 202213211001.

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 31 ways as a sum of consecutive naturals, for example, 4541427 + ... + 4563417.

It is an arithmetic number, because the mean of its divisors is an integer number (3612581856).

Almost surely, 2100112312202 is an apocalyptic number.

100112312202 is an abundant number, since it is smaller than the sum of its proper divisors (131092926582).

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

100112312202 is a wasteful number, since it uses less digits than its factorization.

100112312202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23123.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100112312202 its reverse (202213211001), we get a palindrome (302325523203).

It can be divided in two parts, 1001 and 12312202, that added together give a triangular number (12313203 = T4962).

The spelling of 100112312202 in words is "one hundred billion, one hundred twelve million, three hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 107 214 321 642 749 1013 1498 2026 2247 3039 4494 6078 7091 14182 21273 21991 42546 43982 65973 108391 131946 153937 216782 307874 325173 461811 650346 758737 923622 1517474 2276211 2353037 4552422 4706074 7059111 14118222 16471259 22276883 32942518 44553766 49413777 66830649 98827554 133661298 155938181 311876362 467814543 935629086 2383626481 4767252962 7150879443 14301758886 16685385367 33370770734 50056156101 100112312202