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132233112102 = 23713797303871
BaseRepresentation
bin111101100100110110…
…1010010101000100110
3110122022112221002112110
41323021231102220212
54131303134041402
6140425210301450
712360600623160
oct1731155225046
9418275832473
10132233112102
1151097165323
1221764727886
13c61472a840
146585cc5930
15368de2156c
hex1ec9b52a26

132233112102 has 64 divisors (see below), whose sum is σ = 325906366464. Its totient is φ = 34830794880.

The previous prime is 132233112031. The next prime is 132233112119. The reversal of 132233112102 is 201211332231.

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

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 31 ways as a sum of consecutive naturals, for example, 283227 + ... + 587097.

It is an arithmetic number, because the mean of its divisors is an integer number (5092286976).

Almost surely, 2132233112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132233112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162953183232).

132233112102 is an abundant number, since it is smaller than the sum of its proper divisors (193673254362).

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

132233112102 is a wasteful number, since it uses less digits than its factorization.

132233112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304693.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132233112102 its reverse (201211332231), we get a palindrome (333444444333).

The spelling of 132233112102 in words is "one hundred thirty-two billion, two hundred thirty-three million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 797 1594 2391 4782 5579 10361 11158 16737 20722 31083 33474 62166 72527 145054 217581 303871 435162 607742 911613 1823226 2127097 3950323 4254194 6381291 7900646 11850969 12762582 23701938 27652261 55304522 82956783 165913566 242185187 484370374 726555561 1453111122 1695296309 3148407431 3390592618 5085888927 6296814862 9445222293 10171777854 18890444586 22038852017 44077704034 66116556051 132233112102