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13217153505 = 353726578963
BaseRepresentation
bin11000100111100110…
…11100000111100001
31021010010101222001220
430103303130013201
5204032042403010
610023305245253
7645350644143
oct142363340741
937103358056
1013217153505
115672814066
12268a493829
1313283838ba
148d5534c93
15525548970
hex313cdc1e1

13217153505 has 32 divisors (see below), whose sum is σ = 21729596544. Its totient is φ = 6855284736.

The previous prime is 13217153503. The next prime is 13217153519. The reversal of 13217153505 is 50535171231.

13217153505 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 13217153505 - 21 = 13217153503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13217153503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470154 + ... + 1479116.

It is an arithmetic number, because the mean of its divisors is an integer number (679049892).

Almost surely, 213217153505 is an apocalyptic number.

13217153505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13217153505 is a deficient number, since it is larger than the sum of its proper divisors (8512443039).

13217153505 is a wasteful number, since it uses less digits than its factorization.

13217153505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11665.

The product of its (nonzero) digits is 15750, while the sum is 33.

The spelling of 13217153505 in words is "thirteen billion, two hundred seventeen million, one hundred fifty-three thousand, five hundred five".

Divisors: 1 3 5 15 37 111 185 555 2657 7971 8963 13285 26889 39855 44815 98309 134445 294927 331631 491545 994893 1474635 1658155 4974465 23814691 71444073 119073455 357220365 881143567 2643430701 4405717835 13217153505