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100401252523 = 11139715434691
BaseRepresentation
bin101110110000001100…
…0011000100010101011
3100121011010200002020021
41131200120120202223
53121110210040043
6114042415141311
710153015364635
oct1354030304253
9317133602207
10100401252523
1139641987060
1217560214837
13961099c180
144c0646da55
1529295993ed
hex17606188ab

100401252523 has 32 divisors (see below), whose sum is σ = 119272591872. Its totient is φ = 83312409600.

The previous prime is 100401252521. The next prime is 100401252559. The reversal of 100401252523 is 325252104001.

It is a cyclic number.

It is not a de Polignac number, because 100401252523 - 21 = 100401252521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100401252521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21400608 + ... + 21405298.

It is an arithmetic number, because the mean of its divisors is an integer number (3727268496).

Almost surely, 2100401252523 is an apocalyptic number.

100401252523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100401252523 is a deficient number, since it is larger than the sum of its proper divisors (18871339349).

100401252523 is a wasteful number, since it uses less digits than its factorization.

100401252523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355.

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 100401252523 its reverse (325252104001), we get a palindrome (425653356524).

The spelling of 100401252523 in words is "one hundred billion, four hundred one million, two hundred fifty-two thousand, five hundred twenty-three".

Divisors: 1 11 13 97 143 1067 1261 1543 4691 13871 16973 20059 51601 60983 149671 220649 455027 670813 1646381 1945723 5005297 5915351 7238213 21402953 65068861 79620343 94096769 702106661 1035064459 7723173271 9127386593 100401252523