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112032320313221 = 71117247107116631
BaseRepresentation
bin11001011110010010001110…
…101001111101011110000101
3112200200012000000202122210222
4121132102032221331132011
5104141014143000010341
61034134534253154125
732412032223250220
oct3136221651753605
9480605000678728
10112032320313221
113277370515a740
121069474548b945
134a687aa835909
141d945710745b7
15ce433ed9e44b
hex65e48ea7d785

112032320313221 has 48 divisors (see below), whose sum is σ = 151533186158592. Its totient is φ = 80414596473600.

The previous prime is 112032320313157. The next prime is 112032320313229. The reversal of 112032320313221 is 122313023230211.

It is not a de Polignac number, because 112032320313221 - 26 = 112032320313157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112032320313229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52512425 + ... + 54604206.

It is an arithmetic number, because the mean of its divisors is an integer number (3156941378304).

Almost surely, 2112032320313221 is an apocalyptic number.

112032320313221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112032320313221 is a deficient number, since it is larger than the sum of its proper divisors (39500865845371).

112032320313221 is a wasteful number, since it uses less digits than its factorization.

112032320313221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107116730 (or 107116713 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 112032320313221 its reverse (122313023230211), we get a palindrome (234345343543432).

The spelling of 112032320313221 in words is "one hundred twelve trillion, thirty-two billion, three hundred twenty million, three hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 7 11 17 47 77 119 187 289 329 517 799 1309 2023 3179 3619 5593 8789 13583 22253 61523 95081 149413 1045891 107116631 749816417 1178282941 1820982727 5034481657 8247980587 12746879089 20030809997 30956706359 35241371599 55379298227 85586188169 140215669979 216696944513 340523769949 387655087589 599103317183 941448069859 1454965198873 2383666389643 6590136489013 10184756392111 16004617187603 112032320313221