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13100030400042 = 23261109239457979
BaseRepresentation
bin1011111010100001011010…
…1010001001011000101010
31201101100110122100100112200
42332220112222021120222
53204112330240300132
643510023151121030
72521305652102635
oct276502652113052
951340418310480
1013100030400042
1141a07677098a3
121576a59813176
1374043487cc41
1433408b11ac1c
1517ab663c8d7c
hexbea16a8962a

13100030400042 has 96 divisors (see below), whose sum is σ = 29235244896000. Its totient is φ = 4237871944320.

The previous prime is 13100030400007. The next prime is 13100030400053. The reversal of 13100030400042 is 24000403000131.

It is a super-2 number, since 2×131000304000422 (a number of 27 digits) contains 22 as substring.

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 = 13100030399988 and 13100030400024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28375009 + ... + 28832987.

It is an arithmetic number, because the mean of its divisors is an integer number (304533801000).

Almost surely, 213100030400042 is an apocalyptic number.

13100030400042 is an abundant number, since it is smaller than the sum of its proper divisors (16135214495958).

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

13100030400042 is a wasteful number, since it uses less digits than its factorization.

13100030400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458396 (or 458393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13100030400042 its reverse (24000403000131), we get a palindrome (37100433400173).

The spelling of 13100030400042 in words is "thirteen trillion, one hundred billion, thirty million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 61 109 122 183 218 239 327 366 478 549 654 717 981 1098 1434 1962 2151 4302 6649 13298 14579 19947 26051 29158 39894 43737 52102 59841 78153 87474 119682 131211 156306 234459 262422 457979 468918 915958 1373937 1589111 2747874 3178222 4121811 4767333 8243622 9534666 14301999 27936719 28603998 49919711 55873438 83810157 99839422 109456981 149759133 167620314 218913962 251430471 299518266 328370943 449277399 502860942 656741886 898554798 985112829 1970225658 3045102371 6090204742 6676875841 9135307113 11930810929 13353751682 18270614226 20030627523 23861621858 27405921339 35792432787 40061255046 54811842678 60091882569 71584865574 107377298361 120183765138 214754596722 727779466669 1455558933338 2183338400007 4366676800014 6550015200021 13100030400042