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112101221011122 = 2337339678730947
BaseRepresentation
bin11001011111010010011001…
…011101010000111010110010
3112200220202211211120202201000
4121133102121131100322302
5104143131300034323442
61034230331234222430
732420021521441410
oct3137223135207262
9480822754522630
10112101221011122
113279a951873882
12106a5b74124a16
134a7213b2b5145
141d97a29a902b0
15ce6023c15d4c
hex65f499750eb2

112101221011122 has 64 divisors (see below), whose sum is σ = 284709927997440. Its totient is φ = 32027973678288.

The previous prime is 112101221011067. The next prime is 112101221011123. The reversal of 112101221011122 is 221110122101211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112101221011095 and 112101221011104.

It is not an unprimeable number, because it can be changed into a prime (112101221011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8474053 + ... + 17204999.

It is an arithmetic number, because the mean of its divisors is an integer number (4448592624960).

Almost surely, 2112101221011122 is an apocalyptic number.

112101221011122 is an abundant number, since it is smaller than the sum of its proper divisors (172608706986318).

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

112101221011122 is a wasteful number, since it uses less digits than its factorization.

112101221011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8764932 (or 8764926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112101221011122 its reverse (221110122101211), we get a palindrome (333211343112333).

The spelling of 112101221011122 in words is "one hundred twelve trillion, one hundred one billion, two hundred twenty-one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 33967 67934 101901 203802 237769 305703 475538 611406 713307 917109 1426614 1834218 2139921 4279842 6419763 8730947 12839526 17461894 26192841 52385682 61116629 78578523 122233258 157157046 183349887 235735569 366699774 471471138 550049661 1100099322 1650148983 3300297966 296564076749 593128153498 889692230247 1779384460494 2075948537243 2669076690741 4151897074486 5338153381482 6227845611729 8007230072223 12455691223458 16014460144446 18683536835187 37367073670374 56050610505561 112101221011122