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432042013122 = 231726915746119
BaseRepresentation
bin1100100100101111011…
…01011111000111000010
31112022011202021021202120
412102113231133013002
524034310223404442
6530251035425110
743133255342616
oct6222755370702
91468152237676
10432042013122
111572564a9085
126b895bb5196
1331983a9a715
1416ca78c1346
15b3899334ec
hex6497b5f1c2

432042013122 has 32 divisors (see below), whose sum is σ = 918313718400. Its totient is φ = 135038707968.

The previous prime is 432042013057. The next prime is 432042013127. The reversal of 432042013122 is 221310240234.

It is a happy number.

It is a super-2 number, since 2×4320420131222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432042013092 and 432042013101.

It is not an unprimeable number, because it can be changed into a prime (432042013127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7845622 + ... + 7900497.

It is an arithmetic number, because the mean of its divisors is an integer number (28697303700).

Almost surely, 2432042013122 is an apocalyptic number.

432042013122 is an abundant number, since it is smaller than the sum of its proper divisors (486271705278).

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

432042013122 is a wasteful number, since it uses less digits than its factorization.

432042013122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15746410.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 432042013122 its reverse (221310240234), we get a palindrome (653352253356).

The spelling of 432042013122 in words is "four hundred thirty-two billion, forty-two million, thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 102 269 538 807 1614 4573 9146 13719 27438 15746119 31492238 47238357 94476714 267684023 535368046 803052069 1606104138 4235706011 8471412022 12707118033 25414236066 72007002187 144014004374 216021006561 432042013122