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10012330100 = 2252232474027
BaseRepresentation
bin10010101001100100…
…00000100001110100
3221211202222001211202
421110302000201310
5131001124030400
64333302552032
7503054254523
oct112462004164
927752861752
1010012330100
114278776883
121b35138618
13c374167a6
146ada524ba
153d8ee64d5
hex254c80874

10012330100 has 108 divisors (see below), whose sum is σ = 23201473344. Its totient is φ = 3748367040.

The previous prime is 10012330091. The next prime is 10012330109. The reversal of 10012330100 is 103321001.

It is an interprime number because it is at equal distance from previous prime (10012330091) and next prime (10012330109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012330109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2484287 + ... + 2488313.

Almost surely, 210012330100 is an apocalyptic number.

10012330100 is a gapful number since it is divisible by the number (10) 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 10012330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600736672).

10012330100 is an abundant number, since it is smaller than the sum of its proper divisors (13189143244).

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

10012330100 is a wasteful number, since it uses less digits than its factorization.

10012330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10012330100 its reverse (103321001), we get a palindrome (10115651101).

Subtracting from 10012330100 its reverse (103321001), we obtain a palindrome (9909009099).

The spelling of 10012330100 in words is "ten billion, twelve million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 47 50 92 94 100 115 188 230 235 460 470 529 575 940 1058 1081 1150 1175 2116 2162 2300 2350 2645 4027 4324 4700 5290 5405 8054 10580 10810 13225 16108 20135 21620 24863 26450 27025 40270 49726 52900 54050 80540 92621 99452 100675 108100 124315 185242 189269 201350 248630 370484 378538 402700 463105 497260 621575 757076 926210 946345 1243150 1852420 1892690 2130283 2315525 2486300 3785380 4260566 4353187 4631050 4731725 8521132 8706374 9262100 9463450 10651415 17412748 18926900 21302830 21765935 42605660 43531870 53257075 87063740 100123301 106514150 108829675 200246602 213028300 217659350 400493204 435318700 500616505 1001233010 2002466020 2503082525 5006165050 10012330100