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13023100024 = 23117110491987
BaseRepresentation
bin11000010000011110…
…01011110001111000
31020121121021000201221
430020033023301320
5203132403200044
65552134121424
7640503344434
oct141017136170
936547230657
1013023100024
115583222890
1226354b0274
1312c70cc15c
148b785d9c4
155134b6484
hex3083cbc78

13023100024 has 64 divisors (see below), whose sum is σ = 27052704000. Its totient is φ = 5827718400.

The previous prime is 13023100007. The next prime is 13023100039. The reversal of 13023100024 is 42000132031.

It is a happy number.

It is a super-2 number, since 2×130231000242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13023099980 and 13023100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6553159 + ... + 6555145.

It is an arithmetic number, because the mean of its divisors is an integer number (422698500).

Almost surely, 213023100024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023100024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526352000).

13023100024 is an abundant number, since it is smaller than the sum of its proper divisors (14029603976).

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

13023100024 is a wasteful number, since it uses less digits than its factorization.

13023100024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13023100024 its reverse (42000132031), we get a palindrome (55023232055).

The spelling of 13023100024 in words is "thirteen billion, twenty-three million, one hundred thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1049 1562 1987 2098 3124 3974 4196 6248 7948 8392 11539 15896 21857 23078 43714 46156 74479 87428 92312 141077 148958 174856 282154 297916 564308 595832 819269 1128616 1551847 1638538 2084363 3103694 3277076 4168726 6207388 6554152 8337452 12414776 16674904 22927993 45855986 91711972 147989773 183423944 295979546 591959092 1183918184 1627887503 3255775006 6511550012 13023100024