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1000112100 = 22352131012539
BaseRepresentation
bin111011100111000…
…111111111100100
32120200212221212220
4323213013333210
54022012041400
6243123512340
733532545501
oct7347077744
92520787786
101000112100
114735a0029
1223ab286b0
1312c279210
1496b7a4a8
155cc047a0
hex3b9c7fe4

1000112100 has 144 divisors (see below), whose sum is σ = 3148340160. Its totient is φ = 243648000.

The previous prime is 1000112077. The next prime is 1000112117. The reversal of 1000112100 is 12110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392631 + ... + 395169.

Almost surely, 21000112100 is an apocalyptic number.

1000112100 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 1000112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574170080).

1000112100 is an abundant number, since it is smaller than the sum of its proper divisors (2148228060).

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

1000112100 is a wasteful number, since it uses less digits than its factorization.

1000112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1000112100 is about 31624.5490086420. The cubic root of 1000112100 is about 1000.0373652705.

Adding to 1000112100 its reverse (12110001), we get a palindrome (1012222101).

The spelling of 1000112100 in words is "one billion, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 101 130 150 156 195 202 260 300 303 325 390 404 505 606 650 780 975 1010 1212 1300 1313 1515 1950 2020 2525 2539 2626 3030 3900 3939 5050 5078 5252 6060 6565 7575 7617 7878 10100 10156 12695 13130 15150 15234 15756 19695 25390 26260 30300 30468 32825 33007 38085 39390 50780 63475 65650 66014 76170 78780 98475 99021 126950 131300 132028 152340 165035 190425 196950 198042 253900 256439 330070 380850 393900 396084 495105 512878 660140 761700 769317 825175 990210 1025756 1282195 1538634 1650350 1980420 2475525 2564390 3077268 3300700 3333707 3846585 4951050 5128780 6410975 6667414 7693170 9902100 10001121 12821950 13334828 15386340 16668535 19232925 20002242 25643900 33337070 38465850 40004484 50005605 66674140 76931700 83342675 100011210 166685350 200022420 250028025 333370700 500056050 1000112100