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2310232200100 = 2252112190928281
BaseRepresentation
bin100001100111100100100…
…100011101001110100100
322011212010001110111111021
4201213210210131032210
5300322323420400400
64525150033420524
7325623464460526
oct41474444351644
98155101414437
102310232200100
11810844938500
123138a410a744
13139b141ccc46
147db5c919a16
1540163b1471a
hex219e491d3a4

2310232200100 has 54 divisors (see below), whose sum is σ = 5510381146802. Its totient is φ = 840084432000.

The previous prime is 2310232200097. The next prime is 2310232200149. The reversal of 2310232200100 is 10022320132.

It can be written as a sum of positive squares in 3 ways, for example, as 26168238756 + 2284063961344 = 161766^2 + 1511312^2 .

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 17 ways as a sum of consecutive naturals, for example, 95452041 + ... + 95476240.

Almost surely, 22310232200100 is an apocalyptic number.

2310232200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2310232200100 is an abundant number, since it is smaller than the sum of its proper divisors (3200148946702).

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

2310232200100 is a wasteful number, since it uses less digits than its factorization.

2310232200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190928317 (or 190928299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2310232200100 its reverse (10022320132), we get a palindrome (2320254520232).

The spelling of 2310232200100 in words is "two trillion, three hundred ten billion, two hundred thirty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 190928281 381856562 763713124 954641405 1909282810 2100211091 3818565620 4200422182 4773207025 8400844364 9546414050 10501055455 19092828100 21002110910 23102322001 42004221820 46204644002 52505277275 92409288004 105010554550 115511610005 210021109100 231023220010 462046440020 577558050025 1155116100050 2310232200100