Search a number
-
+
2312034112100 = 2252192275360617
BaseRepresentation
bin100001101001001111111…
…110001101001001100100
322012000202122002010001202
4201221033332031021210
5300340021213041400
64530044522542032
7326016234460346
oct41511776151144
98160678063052
102312034112100
11811589a88679
12314107667918
1313a04060c36b
147dc8dd6d296
154021bde94d5
hex21a4ff8d264

2312034112100 has 72 divisors (see below), whose sum is σ = 5304438723360. Its totient is φ = 872279435520.

The previous prime is 2312034112079. The next prime is 2312034112103. The reversal of 2312034112100 is 12114302132.

2312034112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2312034112103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2249009 + ... + 3111608.

Almost surely, 22312034112100 is an apocalyptic number.

2312034112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312034112100 is an abundant number, since it is smaller than the sum of its proper divisors (2992404611260).

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

2312034112100 is a wasteful number, since it uses less digits than its factorization.

2312034112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360877 (or 5360870 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2312034112100 its reverse (12114302132), we get a palindrome (2324148414232).

The spelling of 2312034112100 in words is "two trillion, three hundred twelve billion, thirty-four million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 227 380 454 475 908 950 1135 1900 2270 4313 4540 5675 8626 11350 17252 21565 22700 43130 86260 107825 215650 431300 5360617 10721234 21442468 26803085 53606170 101851723 107212340 134015425 203703446 268030850 407406892 509258615 536061700 1018517230 1216860059 2037034460 2433720118 2546293075 4867440236 5092586150 6084300295 10185172300 12168600590 23120341121 24337201180 30421501475 46240682242 60843002950 92481364484 115601705605 121686005900 231203411210 462406822420 578008528025 1156017056050 2312034112100