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312130202100 = 223521087957161
BaseRepresentation
bin1001000101011000110…
…10001110100111110100
31002211122220001010210120
410202230122032213310
520103220312431400
6355220213251540
731356606641133
oct4425432164764
91084586033716
10312130202100
111104123a8712
12505ab933bb0
1323583c4cba2
141117017391a
1581bc59cca0
hex48ac68e9f4

312130202100 has 72 divisors (see below), whose sum is σ = 903928478208. Its totient is φ = 83158060800.

The previous prime is 312130202053. The next prime is 312130202123. The reversal of 312130202100 is 1202031213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312130202100.

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 23 ways as a sum of consecutive naturals, for example, 152481 + ... + 804680.

Almost surely, 2312130202100 is an apocalyptic number.

312130202100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312130202100 is an abundant number, since it is smaller than the sum of its proper divisors (591798276108).

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

312130202100 is a wasteful number, since it uses less digits than its factorization.

312130202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958265 (or 958258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312130202100 its reverse (1202031213), we get a palindrome (313332233313).

The spelling of 312130202100 in words is "three hundred twelve billion, one hundred thirty million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1087 2174 3261 4348 5435 6522 10870 13044 16305 21740 27175 32610 54350 65220 81525 108700 163050 326100 957161 1914322 2871483 3828644 4785805 5742966 9571610 11485932 14357415 19143220 23929025 28714830 47858050 57429660 71787075 95716100 143574150 287148300 1040434007 2080868014 3121302021 4161736028 5202170035 6242604042 10404340070 12485208084 15606510105 20808680140 26010850175 31213020210 52021700350 62426040420 78032550525 104043400700 156065101050 312130202100