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132122373432 = 23373193532393
BaseRepresentation
bin111101100001100011…
…0110110110100111000
3110122000211112222122020
41323003012312310320
54131041311422212
6140410212554440
712355054434000
oct1730306666470
9418024488566
10132122373432
115103a6a9765
1221733622a20
13c5c77c71ba
1465752db000
153684349d8c
hex1ec31b6d38

132122373432 has 256 divisors, whose sum is σ = 406788480000. Its totient is φ = 35646234624.

The previous prime is 132122373431. The next prime is 132122373469. The reversal of 132122373432 is 234373221231.

It is a super-2 number, since 2×1321223734322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132122373393 and 132122373402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122373431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55210828 + ... + 55213220.

It is an arithmetic number, because the mean of its divisors is an integer number (1589017500).

Almost surely, 2132122373432 is an apocalyptic number.

132122373432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122373432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203394240000).

132122373432 is an abundant number, since it is smaller than the sum of its proper divisors (274666106568).

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

132122373432 is a wasteful number, since it uses less digits than its factorization.

132122373432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2777 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

Adding to 132122373432 its reverse (234373221231), we get a palindrome (366495594663).

The spelling of 132122373432 in words is "one hundred thirty-two billion, one hundred twenty-two million, three hundred seventy-three thousand, four hundred thirty-two".