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312133112220 = 223537140600501
BaseRepresentation
bin1001000101011001001…
…01010101000110011100
31002211200002111222201210
410202230211111012130
520103222034042340
6355220355504420
731356643451346
oct4425445250634
91084602458653
10312133112220
11110414006076
12505b08b8110
132358472b657
14111706d0296
1581bc975180
hex48ac95519c

312133112220 has 48 divisors (see below), whose sum is σ = 897593604768. Its totient is φ = 80985888000.

The previous prime is 312133112197. The next prime is 312133112227. The reversal of 312133112220 is 22211331213.

It is a super-2 number, since 2×3121331122202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312133112227) 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 15 ways as a sum of consecutive naturals, for example, 70298031 + ... + 70302470.

It is an arithmetic number, because the mean of its divisors is an integer number (18699866766).

Almost surely, 2312133112220 is an apocalyptic number.

312133112220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312133112220 is an abundant number, since it is smaller than the sum of its proper divisors (585460492548).

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

312133112220 is a wasteful number, since it uses less digits than its factorization.

312133112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140600550 (or 140600548 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312133112220 its reverse (22211331213), we get a palindrome (334344443433).

The spelling of 312133112220 in words is "three hundred twelve billion, one hundred thirty-three million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 140600501 281201002 421801503 562402004 703002505 843603006 1406005010 1687206012 2109007515 2812010020 4218015030 5202218537 8436030060 10404437074 15606655611 20808874148 26011092685 31213311222 52022185370 62426622444 78033278055 104044370740 156066556110 312133112220