Search a number
-
+
104123012401320 = 233511676771739039
BaseRepresentation
bin10111101011001100000111…
…001010101100100010101000
3111122200001200202112200110120
4113223030013022230202220
5102121422412133320240
61005241241311243240
730634432212254043
oct2753140712544250
9448601622480416
10104123012401320
11301a435a023630
12b8178a2219520
1346139b1262b13
141b9d81b5abc5a
15c08729e23ad0
hex5eb3072ac8a8

104123012401320 has 256 divisors, whose sum is σ = 346363344691200. Its totient is φ = 24828454210560.

The previous prime is 104123012401313. The next prime is 104123012401337. The reversal of 104123012401320 is 23104210321401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59004361 + ... + 60743399.

It is an arithmetic number, because the mean of its divisors is an integer number (1352981815200).

Almost surely, 2104123012401320 is an apocalyptic number.

104123012401320 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 104123012401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173181672345600).

104123012401320 is an abundant number, since it is smaller than the sum of its proper divisors (242240332289880).

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

104123012401320 is a wasteful number, since it uses less digits than its factorization.

104123012401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739808 (or 1739804 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 104123012401320 its reverse (23104210321401), we get a palindrome (127227222722721).

The spelling of 104123012401320 in words is "one hundred four trillion, one hundred twenty-three billion, twelve million, four hundred one thousand, three hundred twenty".