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312001113123 = 32719733570583
BaseRepresentation
bin1001000101001001011…
…01110010110000100011
31002211022220010202000100
410202210231302300203
520102434241104443
6355155322353443
731353451463340
oct4424455626043
91084286122010
10312001113123
11110356549207
125057465b883
1323563292c8b
141115ad6d7c7
1581b109e3d3
hex48a4b72c23

312001113123 has 48 divisors (see below), whose sum is σ = 549584289280. Its totient is φ = 166589073792.

The previous prime is 312001113121. The next prime is 312001113133. The reversal of 312001113123 is 321311100213.

It is not a de Polignac number, because 312001113123 - 21 = 312001113121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312001113096 and 312001113105.

It is not an unprimeable number, because it can be changed into a prime (312001113121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1697911 + ... + 1872672.

Almost surely, 2312001113123 is an apocalyptic number.

312001113123 is a deficient number, since it is larger than the sum of its proper divisors (237583176157).

312001113123 is a wasteful number, since it uses less digits than its factorization.

312001113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570688 (or 3570685 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312001113123 its reverse (321311100213), we get a palindrome (633312213336).

The spelling of 312001113123 in words is "three hundred twelve billion, one million, one hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 7 9 19 21 57 63 73 133 171 219 399 511 657 1197 1387 1533 4161 4599 9709 12483 29127 87381 3570583 10711749 24994081 32135247 67841077 74982243 203523231 224946729 260652559 474887539 610569693 781957677 1424662617 1824567913 2345873031 4273987851 4952398621 5473703739 14857195863 16421111217 34666790347 44571587589 104000371041 312001113123