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12310100400 = 2435213789109
BaseRepresentation
bin10110111011011110…
…10011100110110000
31011202220121220010110
423131233103212300
5200202341203100
65353304101320
7614025061353
oct133557234660
934686556113
1012310100400
1152478046a4
122476764840
13121248aaa0
1484aca029a
154c0ac7250
hex2ddbd39b0

12310100400 has 120 divisors (see below), whose sum is σ = 42466743760. Its totient is φ = 3030174720.

The previous prime is 12310100377. The next prime is 12310100447. The reversal of 12310100400 is 400101321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378955 + ... + 410154.

Almost surely, 212310100400 is an apocalyptic number.

12310100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310100400 is an abundant number, since it is smaller than the sum of its proper divisors (30156643360).

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

12310100400 is a wasteful number, since it uses less digits than its factorization.

12310100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789143 (or 789132 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12310100400 its reverse (400101321), we get a palindrome (12710201721).

The spelling of 12310100400 in words is "twelve billion, three hundred ten million, one hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 789109 1578218 2367327 3156436 3945545 4734654 6312872 7891090 9469308 10258417 11836635 12625744 15782180 18938616 19727725 20516834 23673270 30775251 31564360 37877232 39455450 41033668 47346540 51292085 59183175 61550502 63128720 78910900 82067336 94693080 102584170 118366350 123101004 153876255 157821800 164134672 189386160 205168340 236732700 246202008 256460425 307752510 315643600 410336680 473465400 492404016 512920850 615505020 769381275 820673360 946930800 1025841700 1231010040 1538762550 2051683400 2462020080 3077525100 4103366800 6155050200 12310100400