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2123234300400 = 2435223243731567
BaseRepresentation
bin11110111001011010101…
…000000101000111110000
321111222102211220221112020
4132321122220011013300
5234241340440103100
64303222251431440
7306253503526503
oct36713250050760
97458384827466
102123234300400
11749505456744
122a35b6a55580
131252b2839755
1474a9d58d13a
153a36bda95a0
hex1ee5aa051f0

2123234300400 has 240 divisors, whose sum is σ = 7100278600704. Its totient is φ = 541339223040.

The previous prime is 2123234300381. The next prime is 2123234300417. The reversal of 2123234300400 is 40034323212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67245417 + ... + 67276983.

Almost surely, 22123234300400 is an apocalyptic number.

2123234300400 is a gapful number since it is divisible by the number (20) 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 2123234300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550139300352).

2123234300400 is an abundant number, since it is smaller than the sum of its proper divisors (4977044300304).

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

2123234300400 is a wasteful number, since it uses less digits than its factorization.

2123234300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34048 (or 34037 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2123234300400 its reverse (40034323212), we get a palindrome (2163268623612).

The spelling of 2123234300400 in words is "two trillion, one hundred twenty-three billion, two hundred thirty-four million, three hundred thousand, four hundred".