Search a number
-
+
10145356511251 = 1353107137614537
BaseRepresentation
bin1001001110100010011001…
…0111101111100000010011
31022220212221100011002122011
42103220212113233200103
52312210142231330001
633324413515323351
72064656251324423
oct223504627574023
938825840132564
1010145356511251
113261692297365
12117a2a3450557
1358791a6a1bb0
14271075d02483
15128d8603dd51
hex93a265ef813

10145356511251 has 16 divisors (see below), whose sum is σ = 11235951798624. Its totient is φ = 9102375869184.

The previous prime is 10145356511233. The next prime is 10145356511291. The reversal of 10145356511251 is 15211565354101.

10145356511251 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 10145356511251 - 29 = 10145356510739 is a prime.

It is a super-3 number, since 3×101453565112513 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10145356511291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68733546 + ... + 68880991.

It is an arithmetic number, because the mean of its divisors is an integer number (702246987414).

Almost surely, 210145356511251 is an apocalyptic number.

10145356511251 is a deficient number, since it is larger than the sum of its proper divisors (1090595287373).

10145356511251 is a wasteful number, since it uses less digits than its factorization.

10145356511251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137614710.

The product of its (nonzero) digits is 90000, while the sum is 40.

The spelling of 10145356511251 in words is "ten trillion, one hundred forty-five billion, three hundred fifty-six million, five hundred eleven thousand, two hundred fifty-one".

Divisors: 1 13 53 107 689 1391 5671 73723 137614537 1788988981 7293570461 14724755459 94816415993 191421820967 780412039327 10145356511251