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101331012222 = 232112371279901
BaseRepresentation
bin101111001011111001…
…1001000101001111110
3100200112221011202202200
41132113303020221332
53130011214342342
6114314551132330
710215035251416
oct1362763105176
9320487152680
10101331012222
1139a79795300
121777b6740a6
13972b4b533b
144c93b35646
15298100394c
hex1797cc8a7e

101331012222 has 144 divisors (see below), whose sum is σ = 249823182336. Its totient is φ = 29638224000.

The previous prime is 101331012221. The next prime is 101331012253. The reversal of 101331012222 is 222210133101.

101331012222 is a `hidden beast` number, since 101 + 331 + 0 + 12 + 222 = 666.

It is a super-2 number, since 2×1013310122222 (a number of 23 digits) contains 22 as substring.

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 = 101331012195 and 101331012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331012221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10229472 + ... + 10239372.

Almost surely, 2101331012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101331012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124911591168).

101331012222 is an abundant number, since it is smaller than the sum of its proper divisors (148492170114).

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

101331012222 is a wasteful number, since it uses less digits than its factorization.

101331012222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10095 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101331012222 its reverse (222210133101), we get a palindrome (323541145323).

The spelling of 101331012222 in words is "one hundred one billion, three hundred thirty-one million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 127 198 222 242 254 333 363 381 407 666 726 762 814 1089 1143 1221 1397 2178 2286 2442 2794 3663 4191 4477 4699 7326 8382 8954 9398 9901 12573 13431 14097 15367 19802 25146 26862 28194 29703 30734 40293 42291 46101 51689 59406 80586 84582 89109 92202 103378 108911 138303 155067 178218 217822 276606 310134 326733 366337 465201 568579 653466 732674 930402 980199 1099011 1137158 1198021 1257427 1705737 1960398 2198022 2396042 2514854 3297033 3411474 3594063 3772281 4029707 5117211 6594066 7188126 7544562 8059414 10234422 10782189 11316843 12089121 13831697 21564378 22633686 24178242 27663394 36267363 41495091 44326777 46524799 72534726 82990182 88653554 93049598 124485273 132980331 139574397 152148667 248970546 265960662 279148794 304297334 398940993 418723191 456446001 511772789 797881986 837446382 912892002 1023545578 1369338003 1535318367 2738676006 3070636734 4605955101 5629500679 9211910202 11259001358 16888502037 33777004074 50665506111 101331012222