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2023400203104 = 2537210711713433
BaseRepresentation
bin11101011100011100000…
…011001110001101100000
321011102202020110100000010
4131130130003032031200
5231122410422444404
64145312012324520
7266120512643400
oct35343403161540
97142666410003
102023400203104
11710134734815
12288194773740
13118a625063b7
146dd0c596800
15379774e1189
hex1d71c0ce360

2023400203104 has 288 divisors, whose sum is σ = 6243484738176. Its totient is φ = 572055644160.

The previous prime is 2023400203081. The next prime is 2023400203169. The reversal of 2023400203104 is 4013020043202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 589395372 + ... + 589398804.

It is an arithmetic number, because the mean of its divisors is an integer number (21678766452).

Almost surely, 22023400203104 is an apocalyptic number.

2023400203104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023400203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121742369088).

2023400203104 is an abundant number, since it is smaller than the sum of its proper divisors (4220084535072).

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

2023400203104 is a wasteful number, since it uses less digits than its factorization.

2023400203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2023400203104 its reverse (4013020043202), we get a palindrome (6036420246306).

The spelling of 2023400203104 in words is "two trillion, twenty-three billion, four hundred million, two hundred three thousand, one hundred four".