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13021002110322 = 232898127966361
BaseRepresentation
bin1011110101111011000000…
…1101001001010101110010
31201002210111000200021110100
42331132300031021111302
53201314003020012242
643405433224413230
72512510366525623
oct275366015112562
951083430607410
1013021002110322
1141701a3264068
121563683317216
13735b4bb5b92b
14330311447a4a
15178a8d39e54c
hexbd7b0349572

13021002110322 has 24 divisors (see below), whose sum is σ = 28529161930620. Its totient is φ = 4291566238080.

The previous prime is 13021002110321. The next prime is 13021002110327. The reversal of 13021002110322 is 22301120012031.

13021002110322 is a `hidden beast` number, since 1 + 30 + 2 + 100 + 211 + 0 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11419256219121 + 1601745891201 = 3379239^2 + 1265601^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13021002110295 and 13021002110304.

It is not an unprimeable number, because it can be changed into a prime (13021002110321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4063981579 + ... + 4063984782.

Almost surely, 213021002110322 is an apocalyptic number.

13021002110322 is an abundant number, since it is smaller than the sum of its proper divisors (15508159820298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13021002110322 is a wasteful number, since it uses less digits than its factorization.

13021002110322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127966458 (or 8127966455 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13021002110322 its reverse (22301120012031), we get a palindrome (35322122122353).

The spelling of 13021002110322 in words is "thirteen trillion, twenty-one billion, two million, one hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 8127966361 16255932722 24383899083 48767798166 73151697249 146303394498 723389006129 1446778012258 2170167018387 4340334036774 6510501055161 13021002110322