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312110223100 = 2252132310438469
BaseRepresentation
bin1001000101010110011…
…10000000111011111100
31002211121111110002202121
410202223032000323330
520103200204114400
6355214221132324
731356245060254
oct4425316007374
91084544402677
10312110223100
111104020a2145
12505a50ba0a4
132357ca761b0
141116b652964
1581ba95321a
hex48ab380efc

312110223100 has 72 divisors (see below), whose sum is σ = 761089724640. Its totient is φ = 110230222080.

The previous prime is 312110223067. The next prime is 312110223127. The reversal of 312110223100 is 1322011213.

It is a super-2 number, since 2×3121102231002 (a number of 24 digits) contains 22 as substring.

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, 5189335 + ... + 5249134.

It is an arithmetic number, because the mean of its divisors is an integer number (10570690620).

Almost surely, 2312110223100 is an apocalyptic number.

It is an amenable number.

312110223100 is an abundant number, since it is smaller than the sum of its proper divisors (448979501540).

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

312110223100 is a wasteful number, since it uses less digits than its factorization.

312110223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438519 (or 10438512 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312110223100 its reverse (1322011213), we get a palindrome (313432234313).

The spelling of 312110223100 in words is "three hundred twelve billion, one hundred ten million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 10438469 20876938 41753876 52192345 104384690 135700097 208769380 240084787 260961725 271400194 480169574 521923450 542800388 678500485 960339148 1043846900 1200423935 1357000970 2400847870 2714001940 3121102231 3392502425 4801695740 6002119675 6242204462 6785004850 12004239350 12484408924 13570009700 15605511155 24008478700 31211022310 62422044620 78027555775 156055111550 312110223100