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2313112100 = 22521379101223
BaseRepresentation
bin1000100111011111…
…0100101000100100
312222012112021021112
42021313310220210
514214124041400
61021310004152
7111215062025
oct21167645044
95865467245
102313112100
11a877673a2
125467a6658
132ab2b63b0
1417d2c2c4c
15d8111835
hex89df4a24

2313112100 has 144 divisors (see below), whose sum is σ = 5552977920. Its totient is φ = 831168000.

The previous prime is 2313112057. The next prime is 2313112111. The reversal of 2313112100 is 12113132.

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, 10372589 + ... + 10372811.

Almost surely, 22313112100 is an apocalyptic number.

2313112100 is a gapful number since it is divisible by the number (20) 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 2313112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776488960).

2313112100 is an abundant number, since it is smaller than the sum of its proper divisors (3239865820).

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

2313112100 is a wasteful number, since it uses less digits than its factorization.

2313112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2313112100 is about 48094.8240458368. The cubic root of 2313112100 is about 1322.5097834595.

Adding to 2313112100 its reverse (12113132), we get a palindrome (2325225232).

The spelling of 2313112100 in words is "two billion, three hundred thirteen million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 101 130 158 202 223 260 316 325 395 404 446 505 650 790 892 1010 1027 1115 1300 1313 1580 1975 2020 2054 2230 2525 2626 2899 3950 4108 4460 5050 5135 5252 5575 5798 6565 7900 7979 10100 10270 11150 11596 13130 14495 15958 17617 20540 22300 22523 25675 26260 28990 31916 32825 35234 39895 45046 51350 57980 65650 70468 72475 79790 88085 90092 102700 103727 112615 131300 144950 159580 176170 199475 207454 225230 229021 289900 292799 352340 398950 414908 440425 450460 458042 518635 563075 585598 797900 880850 916084 1037270 1126150 1145105 1171196 1463995 1761700 1779317 2074540 2252300 2290210 2593175 2927990 3558634 4580420 5186350 5725525 5855980 7117268 7319975 8896585 10372700 11451050 14639950 17793170 22902100 23131121 29279900 35586340 44482925 46262242 88965850 92524484 115655605 177931700 231311210 462622420 578278025 1156556050 2313112100