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112002121020 = 223517669116411
BaseRepresentation
bin110100001001111011…
…0001011110100111100
3101201002121202021002110
41220103312023310330
53313340020333040
6123241510054020
711043342214656
oct1502366136474
9351077667073
10112002121020
1143555306289
121985934a310
13a73c2377ba
1455c70716d6
152da7c78980
hex1a13d8bd3c

112002121020 has 96 divisors (see below), whose sum is σ = 332123210496. Its totient is φ = 28104422400.

The previous prime is 112002120943. The next prime is 112002121031. The reversal of 112002121020 is 20121200211.

It is a super-2 number, since 2×1120021210202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112002120987 and 112002121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6816615 + ... + 6833025.

It is an arithmetic number, because the mean of its divisors is an integer number (3459616776).

Almost surely, 2112002121020 is an apocalyptic number.

112002121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002121020 is an abundant number, since it is smaller than the sum of its proper divisors (220121089476).

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

112002121020 is a wasteful number, since it uses less digits than its factorization.

112002121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23131 (or 23129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112002121020 its reverse (20121200211), we get a palindrome (132123321231).

The spelling of 112002121020 in words is "one hundred twelve billion, two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 6691 13382 16411 20073 26764 32822 33455 40146 49233 65644 66910 80292 82055 98466 100365 113747 133820 164110 196932 200730 227494 246165 278987 328220 341241 401460 454988 492330 557974 568735 682482 836961 984660 1115948 1137470 1364964 1394935 1673922 1706205 2274940 2789870 3347844 3412410 4184805 5579740 6824820 8369610 16739220 109806001 219612002 329418003 439224004 549030005 658836006 1098060010 1317672012 1647090015 1866702017 2196120020 3294180030 3733404034 5600106051 6588360060 7466808068 9333510085 11200212102 18667020170 22400424204 28000530255 37334040340 56001060510 112002121020