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233111011111132 = 227112692813583391
BaseRepresentation
bin110101000000001101100011…
…000000101011000011011100
31010120101012021011120211121011
4311000031203000223003130
5221023242322321024012
62143441415313345004
7100046500111110340
oct6500154300530334
91116335234524534
10233111011111132
1168304908642a20
122218a585b68164
13a00c37405561b
14417c8c148b620
151be3b4432d1a7
hexd4036302b0dc

233111011111132 has 48 divisors (see below), whose sum is σ = 510496570644480. Its totient is φ = 90484841822400.

The previous prime is 233111011111079. The next prime is 233111011111211. The reversal of 233111011111132 is 231111110111332.

It is a happy number.

It is a super-2 number, since 2×2331110111111322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406708844 + ... + 1406874547.

It is an arithmetic number, because the mean of its divisors is an integer number (10635345221760).

Almost surely, 2233111011111132 is an apocalyptic number.

233111011111132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233111011111132 is an abundant number, since it is smaller than the sum of its proper divisors (277385559533348).

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

233111011111132 is a wasteful number, since it uses less digits than its factorization.

233111011111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813583682 (or 2813583680 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 233111011111132 its reverse (231111110111332), we get a palindrome (464222121222464).

The spelling of 233111011111132 in words is "two hundred thirty-three trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 269 308 538 1076 1883 2959 3766 5918 7532 11836 20713 41426 82852 2813583391 5627166782 11254333564 19695083737 30949417301 39390167474 61898834602 78780334948 123797669204 216645921107 433291842214 756853932179 866583684428 1513707864358 3027415728716 5297977525253 8325393253969 10595955050506 16650786507938 21191910101012 33301573015876 58277752777783 116555505555566 233111011111132