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123411032141100 = 2235211471886942169
BaseRepresentation
bin11100000011110111011110…
…101110110110110100101100
3121011221222110000112111220220
4130003313132232312310230
5112133431243212003400
61114250125005411340
734665103265042034
oct3403673656666454
9534858400474826
10123411032141100
1136360363363170
1211a11a74b69b50
1353b27c2066c42
1422691a93a48c4
15e4030e0807a0
hex703ddebb6d2c

123411032141100 has 288 divisors, whose sum is σ = 397848486067200. Its totient is φ = 29279030323200.

The previous prime is 123411032141051. The next prime is 123411032141101. The reversal of 123411032141100 is 1141230114321.

It is not an unprimeable number, because it can be changed into a prime (123411032141101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2926560816 + ... + 2926602984.

It is an arithmetic number, because the mean of its divisors is an integer number (1381418354400).

Almost surely, 2123411032141100 is an apocalyptic number.

123411032141100 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 123411032141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198924243033600).

123411032141100 is an abundant number, since it is smaller than the sum of its proper divisors (274437453926100).

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

123411032141100 is a wasteful number, since it uses less digits than its factorization.

123411032141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61113 (or 61106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 123411032141100 its reverse (1141230114321), we get a palindrome (124552262255421).

The spelling of 123411032141100 in words is "one hundred twenty-three trillion, four hundred eleven billion, thirty-two million, one hundred forty-one thousand, one hundred".