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313100233020 = 2232537457102871
BaseRepresentation
bin1001000111001100011…
…10100110100100111100
31002221011111022211001200
410203212032212210330
520112212124424040
6355500344335500
731422626032461
oct4434616464474
91087144284050
10313100233020
1111086aa12263
1250820774590
13236a9bc6193
1411222d1d668
15822780e630
hex48e63a693c

313100233020 has 144 divisors (see below), whose sum is σ = 977549821248. Its totient is φ = 81058268160.

The previous prime is 313100233013. The next prime is 313100233021. The reversal of 313100233020 is 20332001313.

313100233020 is a `hidden beast` number, since 3 + 1 + 310 + 0 + 2 + 330 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313100232984 and 313100233002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313100233021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2992185 + ... + 3095055.

Almost surely, 2313100233020 is an apocalyptic number.

313100233020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313100233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488774910624).

313100233020 is an abundant number, since it is smaller than the sum of its proper divisors (664449588228).

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

313100233020 is a wasteful number, since it uses less digits than its factorization.

313100233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103380 (or 103375 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313100233020 its reverse (20332001313), we get a palindrome (333432234333).

The spelling of 313100233020 in words is "three hundred thirteen billion, one hundred million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 457 555 666 740 914 1110 1332 1371 1665 1828 2220 2285 2742 3330 4113 4570 5484 6660 6855 8226 9140 13710 16452 16909 20565 27420 33818 41130 50727 67636 82260 84545 101454 102871 152181 169090 202908 205742 253635 304362 308613 338180 411484 507270 514355 608724 617226 760905 925839 1014540 1028710 1234452 1521810 1543065 1851678 2057420 3043620 3086130 3703356 3806227 4629195 6172260 7612454 9258390 11418681 15224908 18516780 19031135 22837362 34256043 38062270 45674724 47012047 57093405 68512086 76124540 94024094 114186810 137024172 141036141 171280215 188048188 228373620 235060235 282072282 342560430 423108423 470120470 564144564 685120860 705180705 846216846 940240940 1410361410 1692433692 1739445739 2115542115 2820722820 3478891478 4231084230 5218337217 6957782956 8462168460 8697228695 10436674434 15655011651 17394457390 20873348868 26091686085 31310023302 34788914780 52183372170 62620046604 78275058255 104366744340 156550116510 313100233020