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312312130221300 = 223521128603639951
BaseRepresentation
bin100011100000010111101010…
…1100101001011010011110100
31111221210202012100002210210020
41013000233111211023103310
5311413410220314040200
63024122113440125140
7122532543505553556
oct10700572545132364
91457722170083706
10312312130221300
119056a915605400
122b0402246067b0
1310535ba4a50231
145719db85914d6
152618e4dd32ea0
hex11c0bd594b4f4

312312130221300 has 108 divisors (see below), whose sum is σ = 993238610618688. Its totient is φ = 75712031560000.

The previous prime is 312312130221253. The next prime is 312312130221307. The reversal of 312312130221300 is 3122031213213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312130221307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4301783676 + ... + 4301856275.

Almost surely, 2312312130221300 is an apocalyptic number.

312312130221300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312312130221300 is an abundant number, since it is smaller than the sum of its proper divisors (680926480397388).

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

312312130221300 is a wasteful number, since it uses less digits than its factorization.

312312130221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8603639990 (or 8603639972 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 312312130221300 its reverse (3122031213213), we get a palindrome (315434161434513).

The spelling of 312312130221300 in words is "three hundred twelve trillion, three hundred twelve billion, one hundred thirty million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 8603639951 17207279902 25810919853 34414559804 43018199755 51621839706 86036399510 94640039461 103243679412 129054599265 172072799020 189280078922 215090998775 258109198530 283920118383 378560157844 430181997550 473200197305 516218397060 567840236766 645272996325 860363995100 946400394610 1041040434071 1135680473532 1290545992650 1419600591915 1892800789220 2082080868142 2366000986525 2581091985300 2839201183830 3123121302213 4164161736284 4732001973050 5205202170355 5678402367660 6246242604426 7098002959575 9464003946100 10410404340710 12492485208852 14196005919150 15615606511065 20820808681420 26026010851775 28392011838300 31231213022130 52052021703550 62462426044260 78078032555325 104104043407100 156156065110650 312312130221300