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123031002440 = 235291033102673
BaseRepresentation
bin111001010010100111…
…0000001110101001000
3102202120020112111012002
41302211032001311020
54003431414034230
6132304125210132
711613552160133
oct1624516016510
9382506474162
10123031002440
11481a4880115
121ba16a00948
13b7a9134c38
145d51add21a
153301120545
hex1ca5381d48

123031002440 has 64 divisors (see below), whose sum is σ = 286645273200. Its totient is φ = 47468961792.

The previous prime is 123031002439. The next prime is 123031002443. The reversal of 123031002440 is 44200130321.

123031002440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 105928117156 + 17102885284 = 325466^2 + 130778^2 .

It is a super-2 number, since 2×1230310024402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (123031002443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146944 + ... + 1249616.

Almost surely, 2123031002440 is an apocalyptic number.

123031002440 is a gapful number since it is divisible by the number (10) 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 123031002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143322636600).

123031002440 is an abundant number, since it is smaller than the sum of its proper divisors (163614270760).

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

123031002440 is a wasteful number, since it uses less digits than its factorization.

123031002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103746 (or 103742 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 123031002440 its reverse (44200130321), we get a palindrome (167231132761).

The spelling of 123031002440 in words is "one hundred twenty-three billion, thirty-one million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1033 1160 2066 4132 5165 8264 10330 20660 29957 41320 59914 102673 119828 149785 205346 239656 299570 410692 513365 599140 821384 1026730 1198280 2053460 2977517 4106920 5955034 11910068 14887585 23820136 29775170 59550340 106061209 119100680 212122418 424244836 530306045 848489672 1060612090 2121224180 3075775061 4242448360 6151550122 12303100244 15378875305 24606200488 30757750610 61515501220 123031002440