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13023034043304 = 23323193181167499
BaseRepresentation
bin1011110110000010100101…
…0100010110101110101000
31201002222201122010011111110
42331200221110112232220
53201332133203341204
643410411012030320
72512611631626525
oct275405124265650
951088648104443
1013023034043304
11417104623141a
121563b4b9023a0
137360b3b06a3c
1433046525614c
15178b5b96d889
hexbd829516ba8

13023034043304 has 128 divisors (see below), whose sum is σ = 34168521600000. Its totient is φ = 4128415272960.

The previous prime is 13023034043287. The next prime is 13023034043321. The reversal of 13023034043304 is 40334043032031.

It is an interprime number because it is at equal distance from previous prime (13023034043287) and next prime (13023034043321).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192902947 + ... + 192970445.

It is an arithmetic number, because the mean of its divisors is an integer number (266941575000).

Almost surely, 213023034043304 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 13023034043304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084260800000).

13023034043304 is an abundant number, since it is smaller than the sum of its proper divisors (21145487556696).

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

13023034043304 is a wasteful number, since it uses less digits than its factorization.

13023034043304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69535 (or 69531 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 13023034043304 its reverse (40334043032031), we get a palindrome (53357077075335).

The spelling of 13023034043304 in words is "thirteen trillion, twenty-three billion, thirty-four million, forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 193 276 386 552 579 772 1158 1544 1811 2316 3622 4439 4632 5433 7244 8878 10866 13317 14488 17756 21732 26634 35512 41653 43464 53268 67499 83306 106536 124959 134998 166612 202497 249918 269996 333224 349523 404994 499836 539992 699046 809988 999672 1048569 1398092 1552477 1619976 2097138 2796184 3104954 4194276 4657431 6209908 8039029 8388552 9314862 12419816 13027307 16078058 18629724 24117087 26054614 32156116 37259448 39081921 48234174 52109228 64312232 78163842 96468348 104218456 122240689 156327684 192936696 244481378 299628061 312655368 366722067 488962756 599256122 733444134 898884183 977925512 1198512244 1466888268 1797768366 2397024488 2811535847 2933776536 3595536732 5623071694 7191073464 8434607541 11246143388 16869215082 22492286776 23592452977 33738430164 47184905954 67476860328 70777358931 94369811908 141554717862 188739623816 283109435724 542626418471 566218871448 1085252836942 1627879255413 2170505673884 3255758510826 4341011347768 6511517021652 13023034043304