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111100211110212 = 22383977247746093
BaseRepresentation
bin11001010000101110001000…
…100111100010000101000100
3112120101002001201212001121120
4121100232020213202011010
5104030231213021011322
61032142422110113540
732254503541614012
oct3120561047420504
9476332051761546
10111100211110212
1132444375882435
1210563b6baab8b0
1349cb921a239cc
141d613c947d8b2
15cc9e889b4a5c
hex650b889e2144

111100211110212 has 96 divisors (see below), whose sum is σ = 262737384158592. Its totient is φ = 36534221285376.

The previous prime is 111100211110201. The next prime is 111100211110243. The reversal of 111100211110212 is 212011112001111.

It is a super-2 number, since 2×1111002111102122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111100211110191 and 111100211110200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2410325838 + ... + 2410371930.

It is an arithmetic number, because the mean of its divisors is an integer number (2736847751652).

Almost surely, 2111100211110212 is an apocalyptic number.

111100211110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111100211110212 is an abundant number, since it is smaller than the sum of its proper divisors (151637173048380).

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

111100211110212 is a wasteful number, since it uses less digits than its factorization.

111100211110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49637 (or 49635 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111100211110212 its reverse (212011112001111), we get a palindrome (323111323111323).

The spelling of 111100211110212 in words is "one hundred eleven trillion, one hundred billion, two hundred eleven million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 977 996 1954 2477 2931 3908 4954 5862 7431 9908 11724 14862 29724 46093 81091 92186 138279 162182 184372 205591 243273 276558 324364 411182 486546 553116 616773 822364 973092 1233546 2420029 2467092 3825719 4840058 7260087 7651438 9680116 11477157 14520174 15302876 22954314 29040348 45032861 45908628 90065722 114172361 135098583 180131444 200862407 228344722 270197166 342517083 401724814 456689444 540394332 602587221 685034166 803449628 1205174442 1370068332 2410348884 3737727463 7475454926 9476305963 11213182389 14950909852 18952611926 22426364778 28428917889 37905223852 44852729556 56857835778 111546396697 113715671556 223092793394 334639190091 446185586788 669278380182 1338556760364 9258350925851 18516701851702 27775052777553 37033403703404 55550105555106 111100211110212