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3230313323130 = 233537523618269
BaseRepresentation
bin101111000000011101101…
…011011001101001111010
3102102211000002102022212000
4233000131223121221322
5410411140202320010
610511552505201430
7452245114126335
oct57003553315172
912384002368760
103230313323130
111035a71725243
12442081490276
131a58040c826a
14b24c2ca361c
15590640837c0
hex2f01dad9a7a

3230313323130 has 128 divisors (see below), whose sum is σ = 8863914412800. Its totient is φ = 836531442432.

The previous prime is 3230313323117. The next prime is 3230313323131. The reversal of 3230313323130 is 313233130323.

3230313323130 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 313 + 32 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3230313323094 and 3230313323103.

It is not an unprimeable number, because it can be changed into a prime (3230313323131) 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 63 ways as a sum of consecutive naturals, for example, 4915636 + ... + 5533904.

It is an arithmetic number, because the mean of its divisors is an integer number (69249331350).

Almost surely, 23230313323130 is an apocalyptic number.

3230313323130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230313323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431957206400).

3230313323130 is an abundant number, since it is smaller than the sum of its proper divisors (5633601089670).

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

3230313323130 is a wasteful number, since it uses less digits than its factorization.

3230313323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618845 (or 618839 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 3230313323130 its reverse (313233130323), we get a palindrome (3543546453453).

The spelling of 3230313323130 in words is "three trillion, two hundred thirty billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 523 555 666 999 1046 1110 1569 1665 1998 2615 3138 3330 4707 4995 5230 7845 9414 9990 14121 15690 19351 23535 28242 38702 47070 58053 70605 96755 116106 141210 174159 193510 290265 348318 522477 580530 618269 870795 1044954 1236538 1741590 1854807 2612385 3091345 3709614 5224770 5564421 6182690 9274035 11128842 16693263 18548070 22875953 27822105 33386526 45751906 55644210 68627859 83466315 114379765 137255718 166932630 205883577 228759530 323354687 343139295 411767154 617650731 646709374 686278590 970064061 1029417885 1235301462 1616773435 1940128122 2058835770 2910192183 3088253655 3233546870 4850320305 5820384366 6176507310 8730576549 9700640610 11964123419 14550960915 17461153098 23928246838 29101921830 35892370257 43652882745 59820617095 71784740514 87305765490 107677110771 119641234190 179461851285 215354221542 323031332313 358923702570 538385553855 646062664626 1076771107710 1615156661565 3230313323130