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112001122020100 = 225217131502923763
BaseRepresentation
bin11001011101110101001011…
…000101111010101100000100
3112200120012110202200011022011
4121131311023011322230010
5104140011244214120400
61034112334413344004
732406546133162345
oct3135651305725404
9480505422604264
10112001122020100
1132761455576315
121068a699198004
134a65878126241
141d92c518220cc
15ce3615e758ba
hex65dd4b17ab04

112001122020100 has 72 divisors (see below), whose sum is σ = 259303469328288. Its totient is φ = 41843256998400.

The previous prime is 112001122020077. The next prime is 112001122020107. The reversal of 112001122020100 is 1020221100211.

It is a super-2 number, since 2×1120011220201002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112001122020107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251239182 + ... + 251684581.

It is an arithmetic number, because the mean of its divisors is an integer number (3601437074004).

Almost surely, 2112001122020100 is an apocalyptic number.

112001122020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001122020100 is an abundant number, since it is smaller than the sum of its proper divisors (147302347308188).

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

112001122020100 is a wasteful number, since it uses less digits than its factorization.

112001122020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502923925 (or 502923918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112001122020100 its reverse (1020221100211), we get a palindrome (113021343120311).

The spelling of 112001122020100 in words is "one hundred twelve trillion, one billion, one hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 131 170 262 340 425 524 655 850 1310 1700 2227 2620 3275 4454 6550 8908 11135 13100 22270 44540 55675 111350 222700 502923763 1005847526 2011695052 2514618815 5029237630 8549703971 10058475260 12573094075 17099407942 25146188150 34198815884 42748519855 50292376300 65883012953 85497039710 131766025906 170994079420 213742599275 263532051812 329415064765 427485198550 658830129530 854970397100 1120011220201 1317660259060 1647075323825 2240022440402 3294150647650 4480044880804 5600056101005 6588301295300 11200112202010 22400224404020 28000280505025 56000561010050 112001122020100