Search a number
-
+
103898063360 = 2957213429
BaseRepresentation
bin110000011000011001…
…1101010001000000000
3100221011211112110220202
41200300303222020000
53200240401011420
6115421412024332
710335455652500
oct1406063521000
9327154473822
10103898063360
1140076825873
12181773020a8
139a4a290000
145058a3ba00
152a81576575
hex1830cea200

103898063360 has 600 divisors, whose sum is σ = 324756117180. Its totient is φ = 31748161536.

The previous prime is 103898063359. The next prime is 103898063377. The reversal of 103898063360 is 63360898301.

It can be written as a sum of positive squares in 10 ways, for example, as 57607680256 + 46290383104 = 240016^2 + 215152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3582691826 + ... + 3582691854.

Almost surely, 2103898063360 is an apocalyptic number.

103898063360 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 103898063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162378058590).

103898063360 is an abundant number, since it is smaller than the sum of its proper divisors (220858053820).

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

103898063360 is an frugal number, since it uses more digits than its factorization.

103898063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The spelling of 103898063360 in words is "one hundred three billion, eight hundred ninety-eight million, sixty-three thousand, three hundred sixty".