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220111122100212 = 2232713011579425189
BaseRepresentation
bin110010000011000010011101…
…001111100110111111110100
31001212100102021112221010201100
4302003002131033212333310
5212322300034224201322
62100045353055530100
764235334540530160
oct6203023517467764
91055312245833640
10220111122100212
116415266a15aa42
122082b015529930
1395a850b38a825
143c4d6140b7ca0
151a6a8de7bbdac
hexc8309d3e6ff4

220111122100212 has 144 divisors (see below), whose sum is σ = 636769850371200. Its totient is φ = 62800607750400.

The previous prime is 220111122100201. The next prime is 220111122100213. The reversal of 220111122100212 is 212001221111022.

220111122100212 is a `hidden beast` number, since 220 + 1 + 1 + 11 + 221 + 0 + 0 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220111122100213) 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, 517465714 + ... + 517890902.

It is an arithmetic number, because the mean of its divisors is an integer number (4422012849800).

Almost surely, 2220111122100212 is an apocalyptic number.

It is an amenable number.

220111122100212 is an abundant number, since it is smaller than the sum of its proper divisors (416658728270988).

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

220111122100212 is a wasteful number, since it uses less digits than its factorization.

220111122100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428086 (or 428081 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220111122100212 its reverse (212001221111022), we get a palindrome (432112343211234).

The spelling of 220111122100212 in words is "two hundred twenty trillion, one hundred eleven billion, one hundred twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1301 1579 2602 3158 3903 4737 5204 6316 7806 9107 9474 11053 11709 14211 15612 18214 18948 22106 23418 27321 28422 33159 36428 44212 46836 54642 56844 66318 81963 99477 109284 132636 163926 198954 327852 397908 425189 850378 1275567 1700756 2054279 2551134 2976323 3826701 4108558 5102268 5952646 6162837 7653402 8217116 8928969 11905292 12325674 14379953 15306804 17857938 18488511 24651348 26786907 28759906 35715876 36977022 43139859 53573814 57519812 73954044 86279718 107147628 129419577 172559436 258839154 517678308 553170889 671373431 1106341778 1342746862 1659512667 2014120293 2212683556 2685493724 3319025334 3872196223 4028240586 4699614017 4978538001 6042360879 6638050668 7744392446 8056481172 9399228034 9957076002 11616588669 12084721758 14098842051 15488784892 18798456068 19914152004 23233177338 24169443516 28197684102 34849766007 42296526153 46466354676 56395368204 69699532014 84593052306 139399064028 169186104612 873456833731 1746913667462 2620370501193 3493827334924 5240741002386 6114197836117 7861111503579 10481482004772 12228395672234 15722223007158 18342593508351 24456791344468 31444446014316 36685187016702 55027780525053 73370374033404 110055561050106 220111122100212