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112001322031220 = 225172571281772969
BaseRepresentation
bin11001011101110101010111…
…000000111001100001110100
3112200120012222201000202222102
4121131311113000321201310
5104140012201414444340
61034112410320321232
732406554112224216
oct3135652700714164
9480505881022872
10112001322031220
1132761548466666
121068a734173218
134a658aa6b560b
141d92c702085b6
15ce36287d3215
hex65dd57039874

112001322031220 has 48 divisors (see below), whose sum is σ = 250007254252560. Its totient is φ = 42001136615424.

The previous prime is 112001322031211. The next prime is 112001322031223. The reversal of 112001322031220 is 22130223100211.

It can be written as a sum of positive squares in 8 ways, for example, as 12922630177636 + 99078691853584 = 3594806^2 + 9953828^2 .

It is a super-2 number, since 2×1120013220312202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112001322031192 and 112001322031201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001322031223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640799105 + ... + 640973864.

It is an arithmetic number, because the mean of its divisors is an integer number (5208484463595).

Almost surely, 2112001322031220 is an apocalyptic number.

112001322031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001322031220 is an abundant number, since it is smaller than the sum of its proper divisors (138005932221340).

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

112001322031220 is a wasteful number, since it uses less digits than its factorization.

112001322031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281773252 (or 1281773250 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 112001322031220 its reverse (22130223100211), we get a palindrome (134131545131431).

The spelling of 112001322031220 in words is "one hundred twelve trillion, one billion, three hundred twenty-two million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 257 340 514 1028 1285 2570 4369 5140 8738 17476 21845 43690 87380 1281772969 2563545938 5127091876 6408864845 12817729690 21790140473 25635459380 43580280946 87160561892 108950702365 217901404730 329415653033 435802809460 658831306066 1317662612132 1647078265165 3294156530330 5600066101561 6588313060660 11200132203122 22400264406244 28000330507805 56000661015610 112001322031220