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13001013300110 = 2511231346601261
BaseRepresentation
bin1011110100110000100011…
…0001111000101110001110
31201000212212222012111201012
42331030020301320232032
53201002033401100420
643352325535045222
72511202141455203
oct275141061705616
951025788174635
1013001013300110
114162776088100
12155b825070812
13733cb48a1294
1432d376835caa
151782bd5e3dc5
hexbd308c78b8e

13001013300110 has 48 divisors (see below), whose sum is σ = 26552429479296. Its totient is φ = 4575136632000.

The previous prime is 13001013300091. The next prime is 13001013300127. The reversal of 13001013300110 is 1100331010031.

It is a happy number.

13001013300110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130010133001102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173263121 + ... + 173338140.

It is an arithmetic number, because the mean of its divisors is an integer number (553175614152).

Almost surely, 213001013300110 is an apocalyptic number.

13001013300110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13001013300110 is an abundant number, since it is smaller than the sum of its proper divisors (13551416179186).

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

13001013300110 is a wasteful number, since it uses less digits than its factorization.

13001013300110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346601321 (or 346601310 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13001013300110 its reverse (1100331010031), we get a palindrome (14101344310141).

The spelling of 13001013300110 in words is "thirteen trillion, one billion, thirteen million, three hundred thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 31 55 62 110 121 155 242 310 341 605 682 1210 1705 3410 3751 7502 18755 37510 346601261 693202522 1733006305 3466012610 3812613871 7625227742 10744639091 19063069355 21489278182 38126138710 41938752581 53723195455 83877505162 107446390910 118191030001 209693762905 236382060002 419387525810 590955150005 1181910300010 1300101330011 2600202660022 6500506650055 13001013300110