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1111331031132 = 2237172346037351
BaseRepresentation
bin10000001011000000011…
…111011100100001011100
310221020112120101210022110
4100023000133130201130
5121202001220444012
62210312144514020
7143201550621510
oct20130037344134
93836476353273
101111331031132
11399349438433
1215b47261b910
1380a4b476b1a
143bb08308140
151dd9562d73c
hex102c07dc85c

1111331031132 has 192 divisors, whose sum is σ = 3275462098944. Its totient is φ = 285751065600.

The previous prime is 1111331031127. The next prime is 1111331031199. The reversal of 1111331031132 is 2311301331111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1111331031099 and 1111331031108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151177257 + ... + 151184607.

It is an arithmetic number, because the mean of its divisors is an integer number (17059698432).

Almost surely, 21111331031132 is an apocalyptic number.

1111331031132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111331031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637731049472).

1111331031132 is an abundant number, since it is smaller than the sum of its proper divisors (2164131067812).

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

1111331031132 is a wasteful number, since it uses less digits than its factorization.

1111331031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12008 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 1111331031132 its reverse (2311301331111), we get a palindrome (3422632362243).

The spelling of 1111331031132 in words is "one trillion, one hundred eleven billion, three hundred thirty-one million, thirty-one thousand, one hundred thirty-two".