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111031331132031 = 3372720849476299
BaseRepresentation
bin11001001111101101111111…
…000011010001001001111111
3112120010111021101000121211120
4121033231333003101021333
5104023114131232211111
61032051031145122023
732246514614510052
oct3117557703211177
9476114241017746
10111031331132031
1132418139930332
1210552748189313
1349c529564a37b
141d5bd334d8a99
15cc82a6892406
hex64fb7f0d127f

111031331132031 has 16 divisors (see below), whose sum is σ = 148088909760000. Its totient is φ = 73997321966208.

The previous prime is 111031331132027. The next prime is 111031331132063. The reversal of 111031331132031 is 130231133130111.

It is not a de Polignac number, because 111031331132031 - 22 = 111031331132027 is a prime.

It is a super-2 number, since 2×1110313311320312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111031331131992 and 111031331132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111031331132021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232874520 + ... + 233350818.

It is an arithmetic number, because the mean of its divisors is an integer number (9255556860000).

Almost surely, 2111031331132031 is an apocalyptic number.

111031331132031 is a deficient number, since it is larger than the sum of its proper divisors (37057578627969).

111031331132031 is a wasteful number, since it uses less digits than its factorization.

111031331132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500878.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 111031331132031 its reverse (130231133130111), we get a palindrome (241262464262142).

The spelling of 111031331132031 in words is "one hundred eleven trillion, thirty-one billion, three hundred thirty-one million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 3727 11181 20849 62547 476299 1428897 77704223 233112669 1775166373 5325499119 9930357851 29791073553 37010443710677 111031331132031