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312002002012 = 221371939833001
BaseRepresentation
bin1001000101001001100…
…01001011110001011100
31002211022221210220100011
410202210301023301130
520102440003031022
6355155353413004
731353462155011
oct4424461136134
91084287726304
10312002002012
11110356aa6028
1250574a0a164
132356351474c
141115b121708
1581b11c7977
hex48a4c4bc5c

312002002012 has 48 divisors (see below), whose sum is σ = 553585419072. Its totient is φ = 153851904000.

The previous prime is 312002002003. The next prime is 312002002021. The reversal of 312002002012 is 210200200213.

It is an interprime number because it is at equal distance from previous prime (312002002003) and next prime (312002002021).

It is a junction number, because it is equal to n+sod(n) for n = 312002001983 and 312002002001.

It is a congruent number.

It is an unprimeable number.

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, 103964512 + ... + 103967512.

It is an arithmetic number, because the mean of its divisors is an integer number (11533029564).

Almost surely, 2312002002012 is an apocalyptic number.

It is an amenable number.

312002002012 is a deficient number, since it is larger than the sum of its proper divisors (241583417060).

312002002012 is a wasteful number, since it uses less digits than its factorization.

312002002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 312002002012 its reverse (210200200213), we get a palindrome (522202202225).

The spelling of 312002002012 in words is "three hundred twelve billion, two million, two thousand, twelve".

Divisors: 1 2 4 137 193 274 386 548 772 983 1966 3001 3932 6002 12004 26441 52882 105764 134671 189719 269342 379438 411137 538684 579193 758876 822274 1158386 1644548 2316772 2949983 5899966 11799932 25991503 51983006 79349441 103966012 158698882 317397764 404147671 569346719 808295342 1138693438 1616590684 2277386876 78000500503 156001001006 312002002012