Search a number
-
+
130903754112 = 2732831369057
BaseRepresentation
bin111100111101001111…
…0001100010110000000
3110111212220111201012100
41321322132030112000
54121042330112422
6140045241430400
712312626356665
oct1717236142600
9414786451170
10130903754112
1150574835a5a
122145349b400
13c4621b3b91
14649b521a6c
1536123827ac
hex1e7a78c580

130903754112 has 96 divisors (see below), whose sum is σ = 381227890680. Its totient is φ = 43108835328.

The previous prime is 130903754081. The next prime is 130903754147. The reversal of 130903754112 is 211457309031.

130903754112 is a `hidden beast` number, since 13 + 0 + 90 + 3 + 7 + 541 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1309037541122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588913 + ... + 780144.

Almost surely, 2130903754112 is an apocalyptic number.

130903754112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130903754112 is an abundant number, since it is smaller than the sum of its proper divisors (250324136568).

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

130903754112 is a wasteful number, since it uses less digits than its factorization.

130903754112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369160 (or 1369145 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 130903754112 in words is "one hundred thirty billion, nine hundred three million, seven hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 332 384 498 576 664 747 996 1152 1328 1494 1992 2656 2988 3984 5312 5976 7968 10624 11952 15936 23904 31872 47808 95616 1369057 2738114 4107171 5476228 8214342 10952456 12321513 16428684 21904912 24643026 32857368 43809824 49286052 65714736 87619648 98572104 113631731 131429472 175239296 197144208 227263462 262858944 340895193 394288416 454526924 525717888 681790386 788576832 909053848 1022685579 1363580772 1577153664 1818107696 2045371158 2727161544 3636215392 4090742316 5454323088 7272430784 8181484632 10908646176 14544861568 16362969264 21817292352 32725938528 43634584704 65451877056 130903754112