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13030311504 = 2437176137397
BaseRepresentation
bin11000010001010101…
…01100011001010000
31020122002211102000210
430020222230121100
5203141224432004
65552552444120
7640621551240
oct141052543120
936562742023
1013030311504
1155872a8991
1226379a9640
1312c87556c2
148b87b9b20
15513e3d089
hex308aac650

13030311504 has 160 divisors (see below), whose sum is σ = 41402278656. Its totient is φ = 3446415360.

The previous prime is 13030311493. The next prime is 13030311527. The reversal of 13030311504 is 40511303031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329734 + ... + 367130.

Almost surely, 213030311504 is an apocalyptic number.

13030311504 is a gapful number since it is divisible by the number (14) 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 13030311504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20701139328).

13030311504 is an abundant number, since it is smaller than the sum of its proper divisors (28371967152).

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

13030311504 is a wasteful number, since it uses less digits than its factorization.

13030311504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37493 (or 37487 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13030311504 its reverse (40511303031), we get a palindrome (53541614535).

The spelling of 13030311504 in words is "thirteen billion, thirty million, three hundred eleven thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 61 68 84 102 112 119 122 136 168 183 204 238 244 272 336 357 366 408 427 476 488 714 732 816 854 952 976 1037 1281 1428 1464 1708 1904 2074 2562 2856 2928 3111 3416 4148 5124 5712 6222 6832 7259 8296 10248 12444 14518 16592 20496 21777 24888 29036 37397 43554 49776 58072 74794 87108 112191 116144 149588 174216 224382 261779 299176 348432 448764 523558 598352 635749 785337 897528 1047116 1271498 1570674 1795056 1907247 2094232 2281217 2542996 3141348 3814494 4188464 4450243 4562434 5085992 6282696 6843651 7628988 8900486 9124868 10171984 12565392 13350729 13687302 15257976 15968519 17800972 18249736 26701458 27374604 30515952 31937038 35601944 36499472 38780689 47905557 53402916 54749208 63874076 71203888 77561378 95811114 106805832 109498416 116342067 127748152 155122756 191622228 213611664 232684134 255496304 271464823 310245512 383244456 465368268 542929646 620491024 766488912 814394469 930736536 1085859292 1628788938 1861473072 2171718584 3257577876 4343437168 6515155752 13030311504