Search a number
-
+
23100444400132 = 22111799707309737
BaseRepresentation
bin1010100000010011111011…
…10010000101101000000100
310000210101021200120222201201
411100021331302011220010
511011434202231301012
6121044110405432244
74602644355421501
oct520117562055004
9100711250528651
1023100444400132
1173a6930700250
12271103010b684
13cb749370c218
1459c0d32164a8
152a0d67848857
hex15027dc85a04

23100444400132 has 48 divisors (see below), whose sum is σ = 46695635034048. Its totient is φ = 9882412037120.

The previous prime is 23100444400087. The next prime is 23100444400151.

23100444400132 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23100444400132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74425968 + ... + 74735704.

It is an arithmetic number, because the mean of its divisors is an integer number (972825729876).

Almost surely, 223100444400132 is an apocalyptic number.

23100444400132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23100444400132 is an abundant number, since it is smaller than the sum of its proper divisors (23595190633916).

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

23100444400132 is a wasteful number, since it uses less digits than its factorization.

23100444400132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409476 (or 409474 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 2310044 and 4400132, that added together give a palindrome (6710176).

The spelling of 23100444400132 in words is "twenty-three trillion, one hundred billion, four hundred forty-four million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 99707 199414 309737 398828 619474 1096777 1238948 1695019 2193554 3390038 3407107 4387108 5265529 6780076 6814214 10531058 13628428 18645209 21062116 37290418 57920819 74580836 115841638 231683276 30882947059 61765894118 123531788236 339712417649 525010100003 679424835298 1050020200006 1358849670596 2100040400012 5775111100033 11550222200066 23100444400132