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10141334145 = 3251572116803
BaseRepresentation
bin10010111000111100…
…00111101010000001
3222011202201011010100
421130132013222001
5131232140143040
64354151553013
7506211626565
oct113436075201
928152634110
1010141334145
114334578498
121b7038b769
13c58073b47
146c2c336a5
153e54c9b30
hex25c787a81

10141334145 has 48 divisors (see below), whose sum is σ = 17776729152. Its totient is φ = 5348004480.

The previous prime is 10141334143. The next prime is 10141334153. The reversal of 10141334145 is 54143314101.

10141334145 is a `hidden beast` number, since 101 + 413 + 3 + 4 + 145 = 666.

It is not a de Polignac number, because 10141334145 - 21 = 10141334143 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10141334143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1487314 + ... + 1494116.

It is an arithmetic number, because the mean of its divisors is an integer number (370348524).

Almost surely, 210141334145 is an apocalyptic number.

10141334145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10141334145 is a deficient number, since it is larger than the sum of its proper divisors (7635395007).

10141334145 is a wasteful number, since it uses less digits than its factorization.

10141334145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10141334145 its reverse (54143314101), we get a palindrome (64284648246).

The spelling of 10141334145 in words is "ten billion, one hundred forty-one million, three hundred thirty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 157 211 471 633 785 1055 1413 1899 2355 3165 6803 7065 9495 20409 33127 34015 61227 99381 102045 165635 298143 306135 496905 1068071 1435433 1490715 3204213 4306299 5340355 7177165 9612639 12918897 16021065 21531495 48063195 64594485 225362981 676088943 1126814905 2028266829 3380444715 10141334145