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112222000121 = 71119715411997
BaseRepresentation
bin110100010000011110…
…0111101001111111001
3101201122221111021111212
41220200330331033321
53314312313000441
6123315402532505
711051652155630
oct1504074751771
9351587437455
10112222000121
1143658436750
12198bab07135
13a77596218a
14560834a517
152dbc20ceeb
hex1a20f3d3f9

112222000121 has 64 divisors (see below), whose sum is σ = 149702307840. Its totient is φ = 81484704000.

The previous prime is 112222000109. The next prime is 112222000123. The reversal of 112222000121 is 121000222211.

It is a de Polignac number, because none of the positive numbers 2k-112222000121 is a prime.

It is a super-2 number, since 2×1122220001212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112222000096 and 112222000105.

It is not an unprimeable number, because it can be changed into a prime (112222000123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56194295 + ... + 56196291.

It is an arithmetic number, because the mean of its divisors is an integer number (2339098560).

Almost surely, 2112222000121 is an apocalyptic number.

112222000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112222000121 is a deficient number, since it is larger than the sum of its proper divisors (37480307719).

112222000121 is a wasteful number, since it uses less digits than its factorization.

112222000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112222000121 its reverse (121000222211), we get a palindrome (233222222332).

The spelling of 112222000121 in words is "one hundred twelve billion, two hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 11 19 71 77 133 209 497 541 781 1349 1463 1997 3787 5467 5951 9443 10279 13979 14839 21967 37943 38411 41657 71953 103873 113069 141787 153769 265601 268877 417373 422521 729809 791483 992509 1080377 1559657 2693953 2921611 2957647 5108663 7562639 8027899 10917599 11884147 18857671 20527163 29633483 56195293 76706767 83189029 143690141 207434381 225798793 536947369 843774437 1457428573 1580591551 5906421059 10202000011 16031714303 112222000121