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112222100221 = 711176113910111
BaseRepresentation
bin110100010000011110…
…1010101101011111101
3101201122221200100211021
41220200331111223331
53314312324201341
6123315405024141
711051653053520
oct1504075255375
9351587610737
10112222100221
11436584a4980
12198bab55051
13a7759988ca
145608374bb7
152dbc22c9d1
hex1a20f55afd

112222100221 has 64 divisors (see below), whose sum is σ = 151670292480. Its totient is φ = 80362368000.

The previous prime is 112222100209. The next prime is 112222100279. The reversal of 112222100221 is 122001222211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112222100221 - 25 = 112222100189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112222100195 and 112222100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112222100521) 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, 11093956 + ... + 11104066.

It is an arithmetic number, because the mean of its divisors is an integer number (2369848320).

Almost surely, 2112222100221 is an apocalyptic number.

112222100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112222100221 is a deficient number, since it is larger than the sum of its proper divisors (39448192259).

112222100221 is a wasteful number, since it uses less digits than its factorization.

112222100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10346.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112222100221 its reverse (122001222211), we get a palindrome (234223322432).

The spelling of 112222100221 in words is "one hundred twelve billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 7 11 17 61 77 119 139 187 427 671 973 1037 1309 1529 2363 4697 7259 8479 10111 10703 11407 16541 25993 59353 70777 79849 93269 111221 144143 171887 181951 616771 652883 778547 1009001 1203209 1405429 1585573 1890757 4317397 6784481 9838003 10485107 11099011 13235299 15459719 23892293 47491367 73395749 85731169 108218033 115336177 167246051 262815223 600118183 807353239 943042859 1457429873 1839706561 6601300013 10202009111 16031728603 112222100221