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132223132041000 = 233537111389494723
BaseRepresentation
bin11110000100000110011000…
…110100001111111100101000
3122100011102000102011021000120
4132010012120310033330220
5114312320433300303000
61145114245053003240
736564543321234360
oct3604063064177450
9570142012137016
10132223132041000
1139148573a94a70
12129b588b483520
1358a1784679340
1424918c2d8d9a0
1510446616dd6a0
hex784198d0ff28

132223132041000 has 1024 divisors, whose sum is σ = 560119388774400. Its totient is φ = 25076468736000.

The previous prime is 132223132040983. The next prime is 132223132041023. The reversal of 132223132041000 is 140231322231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 267019639 + ... + 267514361.

It is an arithmetic number, because the mean of its divisors is an integer number (546991590600).

Almost surely, 2132223132041000 is an apocalyptic number.

132223132041000 is a gapful number since it is divisible by the number (10) 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 132223132041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280059694387200).

132223132041000 is an abundant number, since it is smaller than the sum of its proper divisors (427896256733400).

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

132223132041000 is a wasteful number, since it uses less digits than its factorization.

132223132041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494867 (or 494853 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132223132041000 its reverse (140231322231), we get a palindrome (132363363363231).

The spelling of 132223132041000 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, one hundred thirty-two million, forty-one thousand".