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111020021002121 = 72111712116121467
BaseRepresentation
bin11001001111100011011100…
…111010100010111110001001
3112120002102002011000111100012
4121033203130322202332021
5104022423000334031441
61032041521001521305
732245634421134300
oct3117433472427611
9476072064014305
10111020021002121
113241336562a330
12105505104a3235
1349c41b23b91ca
141d5b57d379437
15cc7d439929eb
hex64f8dcea2f89

111020021002121 has 24 divisors (see below), whose sum is σ = 149173687514016. Its totient is φ = 81420336251520.

The previous prime is 111020021002103. The next prime is 111020021002133. The reversal of 111020021002121 is 121200120020111.

It is a de Polignac number, because none of the positive numbers 2k-111020021002121 is a prime.

It is a super-2 number, since 2×1110200210021212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111020021002096 and 111020021002105.

It is not an unprimeable number, because it can be changed into a prime (111020021002151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6058051571 + ... + 6058069896.

It is an arithmetic number, because the mean of its divisors is an integer number (6215570313084).

Almost surely, 2111020021002121 is an apocalyptic number.

111020021002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111020021002121 is a deficient number, since it is larger than the sum of its proper divisors (38153666511895).

111020021002121 is a wasteful number, since it uses less digits than its factorization.

111020021002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12116121509 (or 12116121502 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111020021002121 its reverse (121200120020111), we get a palindrome (232220141022232).

The spelling of 111020021002121 in words is "one hundred eleven trillion, twenty billion, twenty-one million, two thousand, one hundred twenty-one".

Divisors: 1 7 11 17 49 77 119 187 539 833 1309 9163 12116121467 84812850269 133277336137 205974064939 593689951883 932941352959 1441818454573 2265714714329 6530589470713 10092729182011 15860003000303 111020021002121