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112313233320030 = 23256163613216127
BaseRepresentation
bin11001100010010111110110…
…011000000010100001011110
3112201200001002100010222012100
4121202113312120002201132
5104210120000212220110
61034511553113545530
732441235423356241
oct3142276630024136
9481601070128170
10112313233320030
11328718582334a6
121071b0827152a6
134a891281885c2
141da3dbd275258
15ceb7d1a3cbc0
hex6625f660285e

112313233320030 has 96 divisors (see below), whose sum is σ = 296848279922688. Its totient is φ = 29454568358400.

The previous prime is 112313233320019. The next prime is 112313233320133. The reversal of 112313233320030 is 30023332313211.

112313233320030 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 323 + 332 + 0 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×1123132333200302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112313233319976 and 112313233320003.

It is a congruent number.

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, 33313827 + ... + 36529953.

It is an arithmetic number, because the mean of its divisors is an integer number (3092169582528).

Almost surely, 2112313233320030 is an apocalyptic number.

112313233320030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112313233320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148424139961344).

112313233320030 is an abundant number, since it is smaller than the sum of its proper divisors (184535046602658).

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

112313233320030 is a wasteful number, since it uses less digits than its factorization.

112313233320030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222562 (or 3222559 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 112313233320030 its reverse (30023332313211), we get a palindrome (142336565633241).

The spelling of 112313233320030 in words is "one hundred twelve trillion, three hundred thirteen billion, two hundred thirty-three million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 6361 12722 19083 31805 38166 57249 63610 95415 114498 190830 286245 388021 572490 776042 1164063 1940105 2328126 3216127 3492189 3880210 5820315 6432254 6984378 9648381 11640630 16080635 17460945 19296762 28945143 32161270 34921890 48241905 57890286 96483810 144725715 196183747 289451430 392367494 588551241 980918735 1177102482 1765653723 1961837470 2942756205 3531307446 5885512410 8828268615 17656537230 20457783847 40915567694 61373351541 102288919235 122746703082 184120054623 204577838470 306866757705 368240109246 613733515410 920600273115 1247924814667 1841200546230 2495849629334 3743774444001 6239624073335 7487548888002 11231323332003 12479248146670 18718872220005 22462646664006 37437744440010 56156616660015 112313233320030