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312130011222 = 23343176117623
BaseRepresentation
bin1001000101011000110…
…01100000000001010110
31002211122212200102222000
410202230121200001112
520103220240324342
6355220205220130
731356605214501
oct4425431400126
91084585612860
10312130011222
11110412288267
12505ab861646
1323583bb4043
1411170124138
1581bc56144c
hex48ac660056

312130011222 has 64 divisors (see below), whose sum is σ = 696184657920. Its totient is φ = 103659652800.

The previous prime is 312130011187. The next prime is 312130011239. The reversal of 312130011222 is 222110031213.

312130011222 is a `hidden beast` number, since 312 + 130 + 0 + 1 + 1 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312130011195 and 312130011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17702703 + ... + 17720325.

It is an arithmetic number, because the mean of its divisors is an integer number (10877885280).

Almost surely, 2312130011222 is an apocalyptic number.

312130011222 is an abundant number, since it is smaller than the sum of its proper divisors (384054646698).

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

312130011222 is a wasteful number, since it uses less digits than its factorization.

312130011222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18826 (or 18820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312130011222 its reverse (222110031213), we get a palindrome (534240042435).

The spelling of 312130011222 in words is "three hundred twelve billion, one hundred thirty million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 431 761 862 1293 1522 2283 2586 3879 4566 6849 7758 11637 13698 17623 20547 23274 35246 41094 52869 105738 158607 317214 327991 475821 655982 951642 983973 1967946 2951919 5903838 7595513 8855757 13411103 15191026 17711514 22786539 26822206 40233309 45573078 68359617 80466618 120699927 136719234 205078851 241399854 362099781 410157702 724199562 5780185393 11560370786 17340556179 34681112358 52021668537 104043337074 156065005611 312130011222