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2300113132002 = 232723976380193
BaseRepresentation
bin100001011110001001011…
…011010001100111100010
322010212222211122120122100
4201132021123101213202
5300141112430211002
64520353554551230
7325114643015340
oct41361133214742
98125884576570
102300113132002
11807521998904
1231193b298516
13138b90953a9a
147d47ca40990
153ec7058711c
hex217896d19e2

2300113132002 has 48 divisors (see below), whose sum is σ = 5719348926720. Its totient is φ = 654425485056.

The previous prime is 2300113131937. The next prime is 2300113132039. The reversal of 2300113132002 is 2002313110032.

2300113132002 is a `hidden beast` number, since 2 + 300 + 11 + 31 + 320 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38159983 + ... + 38220210.

It is an arithmetic number, because the mean of its divisors is an integer number (119153102640).

Almost surely, 22300113132002 is an apocalyptic number.

2300113132002 is an abundant number, since it is smaller than the sum of its proper divisors (3419235794718).

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

2300113132002 is a wasteful number, since it uses less digits than its factorization.

2300113132002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76380447 (or 76380444 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2300113132002 its reverse (2002313110032), we get a palindrome (4302426242034).

It can be divided in two parts, 2300113 and 132002, that added together give a triangular number (2432115 = T2205).

The spelling of 2300113132002 in words is "two trillion, three hundred billion, one hundred thirteen million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 478 717 1434 1673 2151 3346 4302 5019 10038 15057 30114 76380193 152760386 229140579 458281158 534661351 687421737 1069322702 1374843474 1603984053 3207968106 4811952159 9623904318 18254866127 36509732254 54764598381 109529196762 127784062889 164293795143 255568125778 328587590286 383352188667 766704377334 1150056566001 2300113132002