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13000122132 = 2237989154081
BaseRepresentation
bin11000001101101111…
…00001111100010100
31020120000000121222220
430012313201330110
5203111012402012
65545553422340
7640104133464
oct140667417424
936500017886
1013000122132
115571259198
12262986a9b0
1312c241547a
148b479bba4
1551147808c
hex306de1f14

13000122132 has 48 divisors (see below), whose sum is σ = 31062931200. Its totient is φ = 4230420480.

The previous prime is 13000122097. The next prime is 13000122143. The reversal of 13000122132 is 23122100031.

13000122132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×130001221323 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7332 + ... + 161412.

It is an arithmetic number, because the mean of its divisors is an integer number (647144400).

Almost surely, 213000122132 is an apocalyptic number.

13000122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13000122132 is an abundant number, since it is smaller than the sum of its proper divisors (18062809068).

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

13000122132 is a wasteful number, since it uses less digits than its factorization.

13000122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154256 (or 154254 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13000122132 its reverse (23122100031), we get a palindrome (36122222163).

The spelling of 13000122132 in words is "thirteen billion, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 79 89 158 178 237 267 316 356 474 534 948 1068 7031 14062 21093 28124 42186 84372 154081 308162 462243 616324 924486 1848972 12172399 13713209 24344798 27426418 36517197 41139627 48689596 54852836 73034394 82279254 146068788 164558508 1083343511 2166687022 3250030533 4333374044 6500061066 13000122132