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2023131022100 = 225220231310221
BaseRepresentation
bin11101011100001100000…
…000011000001100010100
321011102001110221112002022
4131130030000120030110
5231121333020201400
64145225155032312
7266111033643206
oct35341400301424
97142043845068
102023131022100
117100067a0081
1228811a59b698
13118a1b8092b6
146dcc4926776
153795da6db85
hex1d70c018314

2023131022100 has 18 divisors (see below), whose sum is σ = 4390194318174. Its totient is φ = 809252408800.

The previous prime is 2023131022091. The next prime is 2023131022103. The reversal of 2023131022100 is 12201313202.

It can be written as a sum of positive squares in 3 ways, for example, as 421276287364 + 1601854734736 = 649058^2 + 1265644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023131022103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10115655011 + ... + 10115655210.

It is an arithmetic number, because the mean of its divisors is an integer number (243899684343).

Almost surely, 22023131022100 is an apocalyptic number.

2023131022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023131022100 is an abundant number, since it is smaller than the sum of its proper divisors (2367063296074).

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

2023131022100 is a wasteful number, since it uses less digits than its factorization.

2023131022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20231310235 (or 20231310228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2023131022100 its reverse (12201313202), we get a palindrome (2035332335302).

The spelling of 2023131022100 in words is "two trillion, twenty-three billion, one hundred thirty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20231310221 40462620442 80925240884 101156551105 202313102210 404626204420 505782755525 1011565511050 2023131022100