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312430310300 = 225252116093727
BaseRepresentation
bin1001000101111100100…
…11000011001110011100
31002212102210202012212002
410202332103003032130
520104324124412200
6355310053501432
731400212551143
oct4427623031634
91085383665762
10312430310300
11110556846419
1250674341878
1323601187cc4
141119bd7475a
1581d8acdbd5
hex48be4c339c

312430310300 has 72 divisors (see below), whose sum is σ = 679879609920. Its totient is φ = 124621286400.

The previous prime is 312430310263. The next prime is 312430310321. The reversal of 312430310300 is 3013034213.

It is a super-2 number, since 2×3124303103002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83827037 + ... + 83830763.

It is an arithmetic number, because the mean of its divisors is an integer number (9442772360).

Almost surely, 2312430310300 is an apocalyptic number.

It is an amenable number.

312430310300 is an abundant number, since it is smaller than the sum of its proper divisors (367449299620).

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

312430310300 is a wasteful number, since it uses less digits than its factorization.

312430310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 312430310300 its reverse (3013034213), we get a palindrome (315443344513).

The spelling of 312430310300 in words is "three hundred twelve billion, four hundred thirty million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 521 1042 1609 2084 2605 3218 3727 5210 6436 7454 8045 10420 13025 14908 16090 18635 26050 32180 37270 40225 52100 74540 80450 93175 160900 186350 372700 838289 1676578 1941767 3353156 3883534 4191445 5996743 7767068 8382890 9708835 11993486 16765780 19417670 20957225 23986972 29983715 38835340 41914450 48544175 59967430 83828900 97088350 119934860 149918575 194176700 299837150 599674300 3124303103 6248606206 12497212412 15621515515 31243031030 62486062060 78107577575 156215155150 312430310300