Search a number
-
+
130020023100 = 223521139400007
BaseRepresentation
bin111100100010111001…
…1000001101100111100
3110102121022121112011010
41321011303001230330
54112240111214400
6135421432155220
712252005650512
oct1710563015474
9412538545133
10130020023100
1150160a05850
1221247538b10
13c351095616
146415ddc4b2
1535ae9bb450
hex1e45cc1b3c

130020023100 has 72 divisors (see below), whose sum is σ = 410390483328. Its totient is φ = 31520004800.

The previous prime is 130020023051. The next prime is 130020023143. The reversal of 130020023100 is 1320020031.

It is a happy number.

It is a super-2 number, since 2×1300200231002 (a number of 23 digits) contains 22 as substring.

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 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, 19696704 + ... + 19703303.

It is an arithmetic number, because the mean of its divisors is an integer number (5699867824).

Almost surely, 2130020023100 is an apocalyptic number.

130020023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130020023100 is an abundant number, since it is smaller than the sum of its proper divisors (280370460228).

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

130020023100 is a wasteful number, since it uses less digits than its factorization.

130020023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39400035 (or 39400028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 130020023100 its reverse (1320020031), we get a palindrome (131340043131).

The spelling of 130020023100 in words is "one hundred thirty billion, twenty million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 39400007 78800014 118200021 157600028 197000035 236400042 394000070 433400077 472800084 591000105 788000140 866800154 985000175 1182000210 1300200231 1733600308 1970000350 2167000385 2364000420 2600400462 2955000525 3940000700 4334000770 5200800924 5910001050 6501001155 8668001540 10835001925 11820002100 13002002310 21670003850 26004004620 32505005775 43340007700 65010011550 130020023100