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234130402100 = 2252723591032393
BaseRepresentation
bin1101101000001101000…
…0100110101100110100
3211101022221122202101002
43122003100212230310
512313444340331400
6255320311022432
722625653403330
oct3320320465464
9741287582332
10234130402100
1190326565491
123946196aa18
131910333248a
14b490d067c0
1561549d0ed5
hex3683426b34

234130402100 has 288 divisors, whose sum is σ = 622400163840. Its totient is φ = 74717660160.

The previous prime is 234130402061. The next prime is 234130402141. The reversal of 234130402100 is 1204031432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97838504 + ... + 97840896.

It is an arithmetic number, because the mean of its divisors is an integer number (2161111680).

Almost surely, 2234130402100 is an apocalyptic number.

234130402100 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 234130402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311200081920).

234130402100 is an abundant number, since it is smaller than the sum of its proper divisors (388269761740).

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

234130402100 is a wasteful number, since it uses less digits than its factorization.

234130402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 234130402100 its reverse (1204031432), we get a palindrome (235334433532).

The spelling of 234130402100 in words is "two hundred thirty-four billion, one hundred thirty million, four hundred two thousand, one hundred".