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13106452230534 = 231310741916012341
BaseRepresentation
bin1011111010111001010101…
…1011011111000110000110
31201101222001012011010212110
42332232111123133012012
53204214003232334114
643513004313201450
72521624050544545
oct276562533370606
951358035133773
1013106452230534
1141a3462666123
121578150400286
13740c19161940
143344d9d7415c
1517ade0088759
hexbeb956df186

13106452230534 has 128 divisors (see below), whose sum is σ = 28591156984320. Its totient is φ = 3981339648000.

The previous prime is 13106452230511. The next prime is 13106452230629. The reversal of 13106452230534 is 43503225460131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13106452230492 and 13106452230501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5598654204 + ... + 5598656544.

It is an arithmetic number, because the mean of its divisors is an integer number (223368413940).

Almost surely, 213106452230534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106452230534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295578492160).

13106452230534 is an abundant number, since it is smaller than the sum of its proper divisors (15484704753786).

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

13106452230534 is a wasteful number, since it uses less digits than its factorization.

13106452230534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486.

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 13106452230534 its reverse (43503225460131), we get a palindrome (56609677690665).

The spelling of 13106452230534 in words is "thirteen trillion, one hundred six billion, four hundred fifty-two million, two hundred thirty thousand, five hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 107 214 321 419 642 838 1257 1391 1601 2341 2514 2782 3202 4173 4682 4803 5447 7023 8346 9606 10894 14046 16341 20813 30433 32682 41626 44833 60866 62439 89666 91299 124878 134499 171307 182598 250487 268998 342614 500974 513921 582829 670819 751461 980879 1027842 1165658 1341638 1502922 1748487 1961758 2012457 2226991 2942637 3256331 3496974 3747941 4024914 4453982 5885274 6512662 6680973 7495882 8720647 9768993 11243823 12751427 13361946 17441294 19537986 22487646 25502854 26161941 38254281 48723233 52323882 71777633 76508562 97446466 104954053 143555266 146169699 209908106 215332899 292339398 314862159 401029687 430665798 629724318 802059374 933109229 1203089061 1364402689 1570387279 1866218458 2406178122 2728805378 2799327687 3140774558 4093208067 4711161837 5213385931 5598655374 8186416134 9422323674 10426771862 15640157793 20415034627 31280315586 40830069254 61245103881 122490207762 168031438853 336062877706 504094316559 1008188633118 2184408705089 4368817410178 6553226115267 13106452230534