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101205234400 = 2552126506543
BaseRepresentation
bin101111001000001001…
…1010101001011100000
3100200020011111121000211
41132100103111023200
53124232020000100
6114254255223504
710211650204264
oct1362023251340
9320204447024
10101205234400
1139a14797596
1217745517b94
13970b4175aa
144c811540a4
152974e5b1ba
hex17904d52e0

101205234400 has 36 divisors (see below), whose sum is σ = 247067280432. Its totient is φ = 40482093440.

The previous prime is 101205234337. The next prime is 101205234413. The reversal of 101205234400 is 4432502101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63252472 + ... + 63254071.

It is an arithmetic number, because the mean of its divisors is an integer number (6862980012).

Almost surely, 2101205234400 is an apocalyptic number.

101205234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101205234400 is an abundant number, since it is smaller than the sum of its proper divisors (145862046032).

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

101205234400 is a wasteful number, since it uses less digits than its factorization.

101205234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126506563 (or 126506550 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 101205234400 its reverse (4432502101), we get a palindrome (105637736501).

The spelling of 101205234400 in words is "one hundred one billion, two hundred five million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 126506543 253013086 506026172 632532715 1012052344 1265065430 2024104688 2530130860 3162663575 4048209376 5060261720 6325327150 10120523440 12650654300 20241046880 25301308600 50602617200 101205234400