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13023002112 = 29379107323
BaseRepresentation
bin11000010000011101…
…10011111000000000
31020121121002001102120
430020032303320000
5203132342031422
65552132044240
7640502456121
oct141016637000
936547061376
1013023002112
11558316626a
122635463680
1312c7096713
148b7836048
1551349745c
hex3083b3e00

13023002112 has 80 divisors (see below), whose sum is σ = 35133584640. Its totient is φ = 4286011392.

The previous prime is 13023002093. The next prime is 13023002117. The reversal of 13023002112 is 21120032031.

It is a junction number, because it is equal to n+sod(n) for n = 13023002091 and 13023002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67683 + ... + 175005.

It is an arithmetic number, because the mean of its divisors is an integer number (439169808).

Almost surely, 213023002112 is an apocalyptic number.

13023002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566792320).

13023002112 is an abundant number, since it is smaller than the sum of its proper divisors (22110582528).

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

13023002112 is an equidigital number, since it uses as much as digits as its factorization.

13023002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107423 (or 107407 counting only the distinct ones).

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

Adding to 13023002112 its reverse (21120032031), we get a palindrome (34143034143).

The spelling of 13023002112 in words is "thirteen billion, twenty-three million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1264 1536 1896 2528 3792 5056 7584 10112 15168 20224 30336 40448 60672 107323 121344 214646 321969 429292 643938 858584 1287876 1717168 2575752 3434336 5151504 6868672 8478517 10303008 13737344 16957034 20606016 25435551 27474688 33914068 41212032 50871102 54949376 67828136 82424064 101742204 135656272 164848128 203484408 271312544 406968816 542625088 813937632 1085250176 1627875264 2170500352 3255750528 4341000704 6511501056 13023002112