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10112340400 = 245259428489
BaseRepresentation
bin10010110101011111…
…00001000110110000
3222002202011010011221
421122233201012300
5131202224343100
64351234314424
7505410321661
oct113257410660
928082133157
1010112340400
11431a175018
121b62728a14
13c52061b96
146bd047368
153e2b9e01a
hex25abe11b0

10112340400 has 60 divisors (see below), whose sum is σ = 24706733400. Its totient is φ = 3976368640.

The previous prime is 10112340383. The next prime is 10112340421. The reversal of 10112340400 is 404321101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190645 + ... + 237844.

It is an arithmetic number, because the mean of its divisors is an integer number (411778890).

Almost surely, 210112340400 is an apocalyptic number.

10112340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112340400 is an abundant number, since it is smaller than the sum of its proper divisors (14594393000).

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

10112340400 is a wasteful number, since it uses less digits than its factorization.

10112340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428566 (or 428555 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10112340400 its reverse (404321101), we get a palindrome (10516661501).

The spelling of 10112340400 in words is "ten billion, one hundred twelve million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 944 1180 1475 2360 2950 4720 5900 11800 23600 428489 856978 1713956 2142445 3427912 4284890 6855824 8569780 10712225 17139560 21424450 25280851 34279120 42848900 50561702 85697800 101123404 126404255 171395600 202246808 252808510 404493616 505617020 632021275 1011234040 1264042550 2022468080 2528085100 5056170200 10112340400