Search a number
-
+
130002301100 = 225271483125231
BaseRepresentation
bin111100100010010111…
…1011011000010101100
3110102120002021011010202
41321010233123002230
54112221042113400
6135420000253032
712251402220050
oct1710457330254
9412502234122
10130002301100
1150151a00a71
1221241611178
13c34a4cc029
146413907c60
1535ad16a4d5
hex1e44bdb0ac

130002301100 has 72 divisors (see below), whose sum is σ = 322625683968. Its totient is φ = 44541806400.

The previous prime is 130002301097. The next prime is 130002301243. The reversal of 130002301100 is 1103200031.

It is a super-2 number, since 2×1300023011002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975485 + ... + 1100715.

Almost surely, 2130002301100 is an apocalyptic number.

130002301100 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 130002301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161312841984).

130002301100 is an abundant number, since it is smaller than the sum of its proper divisors (192623382868).

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

130002301100 is a wasteful number, since it uses less digits than its factorization.

130002301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126735 (or 126728 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 130002301100 its reverse (1103200031), we get a palindrome (131105501131).

The spelling of 130002301100 in words is "one hundred thirty billion, two million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1483 2966 5932 7415 10381 14830 20762 29660 37075 41524 51905 74150 103810 125231 148300 207620 250462 259525 500924 519050 626155 876617 1038100 1252310 1753234 2504620 3130775 3506468 4383085 6261550 8766170 12523100 17532340 21915425 43830850 87661700 185717573 371435146 742870292 928587865 1300023011 1857175730 2600046022 3714351460 4642939325 5200092044 6500115055 9285878650 13000230110 18571757300 26000460220 32500575275 65001150550 130002301100