Search a number
-
+
10131134043345 = 3576110511504999
BaseRepresentation
bin1001001101101101011010…
…1001010101010011010001
31022212112020011001212110120
42103123112221111103101
52311442030303341340
633314102334420453
72063643642333420
oct223332651252321
938775204055416
1010131134043345
11325665405a757
121177594361729
13586491c70203
142704c70792b7
151288026144d0
hex936d6a554d1

10131134043345 has 64 divisors (see below), whose sum is σ = 18847127040000. Its totient is φ = 4551113952000.

The previous prime is 10131134043319. The next prime is 10131134043461. The reversal of 10131134043345 is 54334043113101.

10131134043345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10131134043345 - 26 = 10131134043281 is a prime.

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, 5979156 + ... + 7484154.

It is an arithmetic number, because the mean of its divisors is an integer number (294486360000).

Almost surely, 210131134043345 is an apocalyptic number.

10131134043345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10131134043345 is a deficient number, since it is larger than the sum of its proper divisors (8715992996655).

10131134043345 is a wasteful number, since it uses less digits than its factorization.

10131134043345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506126.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 10131134043345 its reverse (54334043113101), we get a palindrome (64465177156446).

The spelling of 10131134043345 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty-four million, forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 61 105 183 305 427 915 1051 1281 2135 3153 5255 6405 7357 15765 22071 36785 64111 110355 192333 320555 448777 961665 1346331 1504999 2243885 4514997 6731655 7524995 10534993 22574985 31604979 52674965 91804939 158024895 275414817 459024695 642634573 1377074085 1581753949 1927903719 3213172865 4745261847 7908769745 9639518595 11072277643 23726309235 33216832929 55361388215 96486990889 166084164645 289460972667 482434954445 675408936223 1447304863335 2026226808669 3377044681115 10131134043345