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10213131120312 = 2332341451269491
BaseRepresentation
bin1001010010011110111000…
…0011010110111010111000
31100011100212200000222001010
42110213232003112322320
52314312443031322222
633415503032353520
72102605624104021
oct224475603267270
940140780028033
1010213131120312
11328840129726a
12118b458b458a0
1359112ba67a73
1427446514bc48
1512aa010b980c
hex949ee0d6eb8

10213131120312 has 64 divisors (see below), whose sum is σ = 27292778876160. Its totient is φ = 3176937209600.

The previous prime is 10213131120221. The next prime is 10213131120317. The reversal of 10213131120312 is 21302113131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213131120317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225612114 + ... + 225657377.

It is an arithmetic number, because the mean of its divisors is an integer number (426449669940).

Almost surely, 210213131120312 is an apocalyptic number.

10213131120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10213131120312 is an abundant number, since it is smaller than the sum of its proper divisors (17079647755848).

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

10213131120312 is a wasteful number, since it uses less digits than its factorization.

10213131120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451269564 (or 451269560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10213131120312 its reverse (21302113131201), we get a palindrome (31515244251513).

The spelling of 10213131120312 in words is "ten trillion, two hundred thirteen billion, one hundred thirty-one million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 492 552 943 984 1886 2829 3772 5658 7544 11316 22632 451269491 902538982 1353808473 1805077964 2707616946 3610155928 5415233892 10379198293 10830467784 18502049131 20758396586 31137594879 37004098262 41516793172 55506147393 62275189758 74008196524 83033586344 111012294786 124550379516 148016393048 222024589572 249100759032 425547130013 444049179144 851094260026 1276641390039 1702188520052 2553282780078 3404377040104 5106565560156 10213131120312