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130103332002 = 233710117871907
BaseRepresentation
bin111100100101011000…
…0110100110010100010
3110102211010101001111000
41321022300310302202
54112422423111002
6135434005532430
712254040034560
oct1711260646242
9412733331430
10130103332002
11501a3a36a86
122126b414116
13c365413b27
1464230c6a30
1535b6e7561c
hex1e4ac34ca2

130103332002 has 128 divisors (see below), whose sum is σ = 334054471680. Its totient is φ = 36764452800.

The previous prime is 130103331983. The next prime is 130103332031. The reversal of 130103332002 is 200233301031.

130103332002 is a `hidden beast` number, since 130 + 1 + 0 + 333 + 200 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68223133 + ... + 68225039.

It is an arithmetic number, because the mean of its divisors is an integer number (2609800560).

Almost surely, 2130103332002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130103332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167027235840).

130103332002 is an abundant number, since it is smaller than the sum of its proper divisors (203951139678).

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

130103332002 is a wasteful number, since it uses less digits than its factorization.

130103332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3807 counting only the distinct ones).

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

Adding to 130103332002 its reverse (200233301031), we get a palindrome (330336633033).

The spelling of 130103332002 in words is "one hundred thirty billion, one hundred three million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 909 1414 1787 1818 1907 2121 2727 3574 3814 4242 5361 5454 5721 6363 10722 11442 12509 12726 13349 16083 17163 19089 25018 26698 32166 34326 37527 38178 40047 48249 51489 75054 80094 96498 102978 112581 120141 180487 192607 225162 240282 337743 360423 360974 385214 541461 577821 675486 720846 1082922 1155642 1263409 1348249 1624383 1733463 2526818 2696498 3248766 3407809 3466926 3790227 4044747 4873149 5200389 6815618 7580454 8089494 9746298 10223427 10400778 11370681 12134241 20446854 22741362 23854663 24268482 30670281 34112043 36402723 47709326 61340562 68224086 71563989 72805446 92010843 143127978 184021686 214691967 344188709 429383934 644075901 688377418 1032566127 1288151802 2065132254 2409320963 3097698381 4818641926 6195396762 7227962889 9293095143 14455925778 18586190286 21683888667 43367777334 65051666001 130103332002