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132143241021000 = 233531121019913637
BaseRepresentation
bin11110000010111011111110…
…111100001100011001001000
3122022212202210200002221110220
4132002323332330030121020
5114310013324200133000
61145013433351110040
736556014461615616
oct3602737674143110
9568782720087426
10132143241021000
11391176a7653200
12129a22b4072320
135897091cb0541
14248baa48a26b6
151042537a9a1a0
hex782efef0c648

132143241021000 has 768 divisors, whose sum is σ = 458249530152960. Its totient is φ = 31676832000000.

The previous prime is 132143241020993. The next prime is 132143241021017. The reversal of 132143241021000 is 120142341231.

It is a super-2 number, since 2×1321432410210002 (a number of 29 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 36333031182 + ... + 36333034818.

It is an arithmetic number, because the mean of its divisors is an integer number (596679075720).

Almost surely, 2132143241021000 is an apocalyptic number.

132143241021000 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 132143241021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229124765076480).

132143241021000 is an abundant number, since it is smaller than the sum of its proper divisors (326106289131960).

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

132143241021000 is a wasteful number, since it uses less digits than its factorization.

132143241021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132143241021000 its reverse (120142341231), we get a palindrome (132263383362231).

The spelling of 132143241021000 in words is "one hundred thirty-two trillion, one hundred forty-three billion, two hundred forty-one million, twenty-one thousand".