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132201120222 = 23329257328481
BaseRepresentation
bin111101100011111001…
…1010000000111011110
3110122020022201201221000
41323013303100013132
54131221441321342
6140422104451130
712360031660323
oct1730763200736
9418208651830
10132201120222
11510800a4356
1221755a79aa6
13c60ac09032
146581958b4a
15368b20244c
hex1ec7cd01de

132201120222 has 64 divisors (see below), whose sum is σ = 305094081600. Its totient is φ = 42381803520.

The previous prime is 132201120221. The next prime is 132201120263. The reversal of 132201120222 is 222021102231.

132201120222 is a `hidden beast` number, since 1 + 322 + 0 + 1 + 120 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132201120195 and 132201120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201120221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238222 + ... + 566702.

It is an arithmetic number, because the mean of its divisors is an integer number (4767095025).

Almost surely, 2132201120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132201120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152547040800).

132201120222 is an abundant number, since it is smaller than the sum of its proper divisors (172892961378).

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

132201120222 is a wasteful number, since it uses less digits than its factorization.

132201120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328778 (or 328772 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132201120222 its reverse (222021102231), we get a palindrome (354222222453).

The spelling of 132201120222 in words is "one hundred thirty-two billion, two hundred one million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 257 261 514 522 771 783 1542 1566 2313 4626 6939 7453 13878 14906 22359 44718 67077 134154 201231 328481 402462 656962 985443 1970886 2956329 5912658 8868987 9525949 17737974 19051898 28577847 57155694 84419617 85733541 168839234 171467082 253258851 257200623 506517702 514401246 759776553 1519553106 2279329659 2448168893 4558659318 4896337786 7344506679 14689013358 22033520037 44067040074 66100560111 132201120222