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112013031003100 = 22523723889210391
BaseRepresentation
bin11001011110000000010000…
…111011000101001111011100
3112200121100012201112011210121
4121132000100323011033130
5104140210141414044400
61034122024232244324
732410450220646403
oct3136002073051734
9480540181464717
10112013031003100
1132766506911527
1210690a615406a4
134a66a25470c46
141d9366130a63a
15ce3ab171821a
hex65e010ec53dc

112013031003100 has 108 divisors (see below), whose sum is σ = 249880665936720. Its totient is φ = 43582843929600.

The previous prime is 112013031003067. The next prime is 112013031003119. The reversal of 112013031003100 is 1300130310211.

It is a super-2 number, since 2×1120130310031002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532298905 + ... + 532509295.

Almost surely, 2112013031003100 is an apocalyptic number.

112013031003100 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 112013031003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124940332968360).

112013031003100 is an abundant number, since it is smaller than the sum of its proper divisors (137867634933620).

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

112013031003100 is a wasteful number, since it uses less digits than its factorization.

112013031003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214368 (or 214324 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 112013031003100 its reverse (1300130310211), we get a palindrome (113313161313311).

The spelling of 112013031003100 in words is "one hundred twelve trillion, thirteen billion, thirty-one million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1369 1850 2738 3700 3889 5476 6845 7778 13690 15556 19445 27380 34225 38890 68450 77780 97225 136900 143893 194450 210391 287786 388900 420782 575572 719465 841564 1051955 1438930 2103910 2877860 3597325 4207820 5259775 5324041 7194650 7784467 10519550 10648082 14389300 15568934 21039100 21296164 26620205 31137868 38922335 53240410 77844670 106480820 133101025 155689340 194611675 266202050 288025279 389223350 532404100 576050558 778446700 818210599 1152101116 1440126395 1636421198 2880252790 3272842396 4091052995 5760505580 7200631975 8182105990 14401263950 16364211980 20455264975 28802527900 30273792163 40910529950 60547584326 81821059900 121095168652 151368960815 302737921630 605475843260 756844804075 1120130310031 1513689608150 2240260620062 3027379216300 4480521240124 5600651550155 11201303100310 22402606200620 28003257750775 56006515501550 112013031003100