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130013440210104 = 2331119318593137239
BaseRepresentation
bin11101100011111100011100…
…111010110111010010111000
3122001100011102012010200222020
4131203330130322313102320
5114020120011143210404
61140303203324154440
736246106151462463
oct3543743472672270
9561304365120866
10130013440210104
1138476432611a90
12126b9586098a20
1357712a3c06829
1424169811982da
151006e344a2ed9
hex763f1ceb74b8

130013440210104 has 128 divisors (see below), whose sum is σ = 356441089420800. Its totient is φ = 39191483842560.

The previous prime is 130013440210081. The next prime is 130013440210109. The reversal of 130013440210104 is 401012044310031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013440210109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947281917 + ... + 947419155.

It is an arithmetic number, because the mean of its divisors is an integer number (2784696011100).

Almost surely, 2130013440210104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130013440210104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178220544710400).

130013440210104 is an abundant number, since it is smaller than the sum of its proper divisors (226427649210696).

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

130013440210104 is a wasteful number, since it uses less digits than its factorization.

130013440210104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156045 (or 156041 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130013440210104 its reverse (401012044310031), we get a palindrome (531025484520135).

The spelling of 130013440210104 in words is "one hundred thirty trillion, thirteen billion, four hundred forty million, two hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 264 386 579 772 1158 1544 2123 2316 4246 4632 6369 8492 12738 16984 18593 25476 37186 50952 55779 74372 111558 137239 148744 204523 223116 274478 409046 411717 446232 548956 613569 818092 823434 1097912 1227138 1509629 1636184 1646868 2454276 3019258 3293736 3588449 4528887 4908552 6038516 7176898 9057774 10765347 12077032 14353796 18115548 21530694 26487127 28707592 36231096 39472939 43061388 52974254 78945878 79461381 86122776 105948508 118418817 157891756 158922762 211897016 236837634 291358397 315783512 317845524 473675268 582716794 635691048 874075191 947350536 1165433588 1748150382 2330867176 2551684727 3496300764 5103369454 6992601528 7655054181 10206738908 15310108362 20413477816 28068531997 30620216724 56137063994 61240433448 84205595991 112274127988 168411191982 224548255976 336822383964 492475152311 673644767928 984950304622 1477425456933 1969900609244 2954850913866 3939801218488 5417226675421 5909701827732 10834453350842 11819403655464 16251680026263 21668906701684 32503360052526 43337813403368 65006720105052 130013440210104