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10145441151 = 3223224321851
BaseRepresentation
bin10010111001011011…
…10010010101111111
3222012001102210212200
421130231302111333
5131234213104101
64354420002543
7506261553426
oct113455622577
928161383780
1010145441151
11433692310a
121b71830453
13c58b81321
146c35c22bd
153e5a3b986
hex25cb7257f

10145441151 has 24 divisors (see below), whose sum is σ = 15299197056. Its totient is φ = 6466376400.

The previous prime is 10145441143. The next prime is 10145441161. The reversal of 10145441151 is 15114454101.

It is a happy number.

10145441151 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 544 + 115 + 1 = 666.

It is not a de Polignac number, because 10145441151 - 23 = 10145441143 is a prime.

It is a super-2 number, since 2×101454411512 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145441161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453376 + ... + 475226.

It is an arithmetic number, because the mean of its divisors is an integer number (637466544).

Almost surely, 210145441151 is an apocalyptic number.

10145441151 is a deficient number, since it is larger than the sum of its proper divisors (5153755905).

10145441151 is a wasteful number, since it uses less digits than its factorization.

10145441151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24123 (or 24120 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 10145441151 its reverse (15114454101), we get a palindrome (25259895252).

The spelling of 10145441151 in words is "ten billion, one hundred forty-five million, four hundred forty-one thousand, one hundred fifty-one".

Divisors: 1 3 9 23 69 207 2243 6729 20187 21851 51589 65553 154767 196659 464301 502573 1507719 4523157 49011793 147035379 441106137 1127271239 3381813717 10145441151