Search a number
-
+
130501100100 = 2235271721012129
BaseRepresentation
bin111100110001001111…
…0001100001001000100
3110110211211211202201210
41321202132030021010
54114231240200400
6135541255251420
712266640022410
oct1714236141104
9413754752653
10130501100100
1150388518048
1221360679b70
13c3c9953577
14645dc69d40
1535dbd47950
hex1e6278c244

130501100100 has 432 divisors, whose sum is σ = 463156606080. Its totient is φ = 27783168000.

The previous prime is 130501100099. The next prime is 130501100129. The reversal of 130501100100 is 1001105031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61295836 + ... + 61297964.

Almost surely, 2130501100100 is an apocalyptic number.

130501100100 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 130501100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231578303040).

130501100100 is an abundant number, since it is smaller than the sum of its proper divisors (332655505980).

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

130501100100 is a wasteful number, since it uses less digits than its factorization.

130501100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 12.

Adding to 130501100100 its reverse (1001105031), we get a palindrome (131502205131).

The spelling of 130501100100 in words is "one hundred thirty billion, five hundred one million, one hundred thousand, one hundred".