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10000314100 = 2252741348443
BaseRepresentation
bin10010101000001000…
…01010111011110100
3221210221100120222201
421110010022323310
5130440040022400
64332153234244
7502550160460
oct112404127364
927727316881
1010000314100
114271a09aa7
121b31102984
13c34a9a42a
146ac2054a0
153d7e2106a
hex25410aef4

10000314100 has 72 divisors (see below), whose sum is σ = 25405748928. Its totient is φ = 3345043200.

The previous prime is 10000314097. The next prime is 10000314113. The reversal of 10000314100 is 141300001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 145522 + ... + 202921.

It is an arithmetic number, because the mean of its divisors is an integer number (352857624).

Almost surely, 210000314100 is an apocalyptic number.

10000314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000314100 is an abundant number, since it is smaller than the sum of its proper divisors (15405434828).

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

10000314100 is a wasteful number, since it uses less digits than its factorization.

10000314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348505 (or 348498 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10000314100 its reverse (141300001), we get a palindrome (10141614101).

The spelling of 10000314100 in words is "ten billion, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 14350 28700 348443 696886 1393772 1742215 2439101 3484430 4878202 6968860 8711075 9756404 12195505 14286163 17422150 24391010 28572326 34844300 48782020 57144652 60977525 71430815 100003141 121955050 142861630 200006282 243910100 285723260 357154075 400012564 500015705 714308150 1000031410 1428616300 2000062820 2500078525 5000157050 10000314100