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123103131320 = 235134761711163
BaseRepresentation
bin111001010100110000…
…1001011011010111000
3102202202021021000102002
41302221201023122320
54004103400200240
6132315223200132
711615416231331
oct1625141133270
9382667230362
10123103131320
1148231565664
121ba36ba6048
13b7bb06a750
145d5b517288
15330761bd15
hex1ca984b6b8

123103131320 has 256 divisors, whose sum is σ = 314259886080. Its totient is φ = 43103692800.

The previous prime is 123103131301. The next prime is 123103131329. The reversal of 123103131320 is 23131301321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123103131292 and 123103131301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123103131329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105849059 + ... + 105850221.

It is an arithmetic number, because the mean of its divisors is an integer number (1227577680).

Almost surely, 2123103131320 is an apocalyptic number.

123103131320 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 123103131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157129943040).

123103131320 is an abundant number, since it is smaller than the sum of its proper divisors (191156754760).

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

123103131320 is a wasteful number, since it uses less digits than its factorization.

123103131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123103131320 its reverse (23131301321), we get a palindrome (146234432641).

The spelling of 123103131320 in words is "one hundred twenty-three billion, one hundred three million, one hundred thirty-one thousand, three hundred twenty".