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112300310030020 = 225719926315326539
BaseRepresentation
bin11001100010001011110100…
…000101100110011011000100
3112201121210201200200211001121
4121202023310011212123010
5104204412013331430040
61034502014503003324
732440300241253010
oct3142136405463304
9481553650624047
10112300310030020
1132867326392432
1210718676739544
134a87b48964638
141da3514b97540
15ceb2c71dec4a
hex6622f41666c4

112300310030020 has 96 divisors (see below), whose sum is σ = 271905080832000. Its totient is φ = 38163815293824.

The previous prime is 112300310029931. The next prime is 112300310030047. The reversal of 112300310030020 is 20030013003211.

It is a super-2 number, since 2×1123003100300202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112300310029976 and 112300310030003.

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, 336090 + ... + 14990449.

It is an arithmetic number, because the mean of its divisors is an integer number (2832344592000).

Almost surely, 2112300310030020 is an apocalyptic number.

112300310030020 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 112300310030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135952540416000).

112300310030020 is an abundant number, since it is smaller than the sum of its proper divisors (159604770801980).

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

112300310030020 is a wasteful number, since it uses less digits than its factorization.

112300310030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15327017 (or 15327015 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 112300310030020 its reverse (20030013003211), we get a palindrome (132330323033231).

The spelling of 112300310030020 in words is "one hundred twelve trillion, three hundred billion, three hundred ten million, thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 263 398 526 796 995 1052 1315 1393 1841 1990 2630 2786 3682 3980 5260 5572 6965 7364 9205 13930 18410 27860 36820 52337 104674 209348 261685 366359 523370 732718 1046740 1465436 1831795 3663590 7327180 15326539 30653078 61306156 76632695 107285773 153265390 214571546 306530780 429143092 536428865 1072857730 2145715460 3049981261 4030879757 6099962522 8061759514 12199925044 15249906305 16123519028 20154398785 21349868827 28216158299 30499812610 40308797570 42699737654 56432316598 60999625220 80617595140 85399475308 106749344135 112864633196 141080791495 213498688270 282161582990 426997376540 564323165980 802145071643 1604290143286 3208580286572 4010725358215 5615015501501 8021450716430 11230031003002 16042901432860 22460062006004 28075077507505 56150155015010 112300310030020