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312132120020 = 22572396935441
BaseRepresentation
bin1001000101011001000…
…01100010110111010100
31002211200000122120200122
410202230201202313110
520103221310320040
6355220322331112
731356632146550
oct4425441426724
91084600576618
10312132120020
11110413498676
12505b04b9a98
1323584471b56
1411170512860
1581bc82b1b5
hex48ac862dd4

312132120020 has 48 divisors (see below), whose sum is σ = 781687404288. Its totient is φ = 102363824640.

The previous prime is 312132119993. The next prime is 312132120029. The reversal of 312132120020 is 20021231213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132120029) 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, 48464501 + ... + 48470940.

It is an arithmetic number, because the mean of its divisors is an integer number (16285154256).

Almost surely, 2312132120020 is an apocalyptic number.

It is an amenable number.

312132120020 is an abundant number, since it is smaller than the sum of its proper divisors (469555284268).

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

312132120020 is a wasteful number, since it uses less digits than its factorization.

312132120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96935480 (or 96935478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 312132120020 its reverse (20021231213), we get a palindrome (332153351233).

The spelling of 312132120020 in words is "three hundred twelve billion, one hundred thirty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 96935441 193870882 387741764 484677205 678548087 969354410 1357096174 1938708820 2229515143 2714192348 3392740435 4459030286 6785480870 8918060572 11147575715 13570961740 15606606001 22295151430 31213212002 44590302860 62426424004 78033030005 156066060010 312132120020