Search a number
-
+
123098199840 = 253257311139163
BaseRepresentation
bin111001010100100111…
…0010111011100100000
3102202201220222110200200
41302221032113130200
54004101114343330
6132314525345200
711615326302000
oct1625116273440
9382656873620
10123098199840
11482297a7560
121ba35408200
13b7ba031c05
145d5a9d2000
153306e95a60
hex1ca9397720

123098199840 has 1152 divisors, whose sum is σ = 541562112000. Its totient is φ = 25239029760.

The previous prime is 123098199839. The next prime is 123098199841. The reversal of 123098199840 is 48991890321.

It is an interprime number because it is at equal distance from previous prime (123098199839) and next prime (123098199841).

It is not an unprimeable number, because it can be changed into a prime (123098199841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 755203599 + ... + 755203761.

It is an arithmetic number, because the mean of its divisors is an integer number (470106000).

Almost surely, 2123098199840 is an apocalyptic number.

123098199840 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 123098199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270781056000).

123098199840 is an abundant number, since it is smaller than the sum of its proper divisors (418463912160).

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

123098199840 is a wasteful number, since it uses less digits than its factorization.

123098199840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 123098199840 in words is "one hundred twenty-three billion, ninety-eight million, one hundred ninety-nine thousand, eight hundred forty".