Search a number
-
+
12031001430100 = 22522322723043481
BaseRepresentation
bin1010111100010010111110…
…0100010000100001010100
31120121011010011201221000021
42233010233210100201110
53034103442331230400
641330544334154524
72351132300556442
oct257045744204124
946534104657007
1012031001430100
113919356729114
121423832052a44
136936983a2a73
142d8437027b92
1515ce4990e71a
hexaf12f910854

12031001430100 has 72 divisors (see below), whose sum is σ = 27362383570368. Its totient is φ = 4582887302400.

The previous prime is 12031001430089. The next prime is 12031001430113. The reversal of 12031001430100 is 103410013021.

It is a super-2 number, since 2×120310014301002 (a number of 27 digits) contains 22 as substring.

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, 10999641 + ... + 12043840.

It is an arithmetic number, because the mean of its divisors is an integer number (380033105144).

Almost surely, 212031001430100 is an apocalyptic number.

12031001430100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031001430100 is an abundant number, since it is smaller than the sum of its proper divisors (15331382140268).

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

12031001430100 is a wasteful number, since it uses less digits than its factorization.

12031001430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23043745 (or 23043738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12031001430100 its reverse (103410013021), we get a palindrome (12134411443121).

The spelling of 12031001430100 in words is "twelve trillion, thirty-one billion, one million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 227 230 454 460 575 908 1135 1150 2270 2300 4540 5221 5675 10442 11350 20884 22700 26105 52210 104420 130525 261050 522100 23043481 46086962 92173924 115217405 230434810 460869620 530000063 576087025 1060000126 1152174050 2120000252 2304348100 2650000315 5230870187 5300000630 10461740374 10600001260 13250001575 20923480748 26154350935 26500003150 52308701870 53000006300 104617403740 120310014301 130771754675 240620028602 261543509350 481240057204 523087018700 601550071505 1203100143010 2406200286020 3007750357525 6015500715050 12031001430100