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10142332253505 = 335127921587303
BaseRepresentation
bin1001001110010111001000…
…0111000111010101000001
31022220121010120110212221000
42103211302013013111001
52312132444024103010
633323153443122213
72064521306500434
oct223456207072501
938817116425830
1010142332253505
1132603801687a1
12117979a673369
13587557c7627a
14270c6a3c381b
15128c5a7a77c0
hex939721c7541

10142332253505 has 32 divisors (see below), whose sum is σ = 18030984549120. Its totient is φ = 5409192372480.

The previous prime is 10142332253483. The next prime is 10142332253519. The reversal of 10142332253505 is 50535223324101.

10142332253505 is a `hidden beast` number, since 1 + 0 + 1 + 423 + 3 + 225 + 3 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 10142332253505 - 213 = 10142332245313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10142332253505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16975684 + ... + 17562986.

It is an arithmetic number, because the mean of its divisors is an integer number (563468267160).

Almost surely, 210142332253505 is an apocalyptic number.

10142332253505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10142332253505 is a deficient number, since it is larger than the sum of its proper divisors (7888652295615).

10142332253505 is a wasteful number, since it uses less digits than its factorization.

10142332253505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715238 (or 715232 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 10142332253505 its reverse (50535223324101), we get a palindrome (60677555577606).

The spelling of 10142332253505 in words is "ten trillion, one hundred forty-two billion, three hundred thirty-two million, two hundred fifty-three thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 135 127921 383763 587303 639605 1151289 1761909 1918815 2936515 3453867 5285727 5756445 8809545 15857181 17269335 26428635 79285905 75128387063 225385161189 375641935315 676155483567 1126925805945 2028466450701 3380777417835 10142332253505