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32020132122 = 232111091148229
BaseRepresentation
bin11101110100100011…
…000111000100011010
310001122112112020200100
4131310203013010122
51011034123211442
622413154320230
72212326426606
oct356443070432
9101575466610
1032020132122
1112641591210
126257589076
133033a6aa54
14179a864506
15c7616684c
hex7748c711a

32020132122 has 48 divisors (see below), whose sum is σ = 75753830880. Its totient is φ = 9694111200.

The previous prime is 32020132103. The next prime is 32020132127. The reversal of 32020132122 is 22123102023.

32020132122 is a `hidden beast` number, since 320 + 2 + 0 + 1 + 321 + 22 = 666.

It is a super-2 number, since 2×320201321222 (a number of 22 digits) contains 22 as substring.

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 = 32020132095 and 32020132104.

It is not an unprimeable number, because it can be changed into a prime (32020132127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 141904 + ... + 290132.

It is an arithmetic number, because the mean of its divisors is an integer number (1578204810).

Almost surely, 232020132122 is an apocalyptic number.

32020132122 is an abundant number, since it is smaller than the sum of its proper divisors (43733698758).

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

32020132122 is a wasteful number, since it uses less digits than its factorization.

32020132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149339 (or 149336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32020132122 its reverse (22123102023), we get a palindrome (54143234145).

The spelling of 32020132122 in words is "thirty-two billion, twenty million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1091 2182 3273 6546 9819 12001 19638 24002 36003 72006 108009 148229 216018 296458 444687 889374 1334061 1630519 2668122 3261038 4891557 9783114 14674671 29349342 161717839 323435678 485153517 970307034 1455460551 1778896229 2910921102 3557792458 5336688687 10673377374 16010066061 32020132122