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132211220232000 = 2635372133128999
BaseRepresentation
bin11110000011111011010010…
…110100010011011101000000
3122100010021021020222122222110
4132003323102310103131000
5114312122034334411000
61145104555053335320
736563642200440300
oct3603732264233500
9570107236878873
10132211220232000
1139143511099618
12129b3506197540
1358a0606882250
1424910b2d6b600
1510441b5a8d850
hex783ed2d13740

132211220232000 has 2016 divisors, whose sum is σ = 565175022048000. Its totient is φ = 26992272384000.

The previous prime is 132211220231879. The next prime is 132211220232037. The reversal of 132211220232000 is 232022112231.

It is a super-2 number, since 2×1322112202320002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14691763501 + ... + 14691772499.

It is an arithmetic number, because the mean of its divisors is an integer number (280344753000).

Almost surely, 2132211220232000 is an apocalyptic number.

132211220232000 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 132211220232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282587511024000).

132211220232000 is an abundant number, since it is smaller than the sum of its proper divisors (432963801816000).

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

132211220232000 is a wasteful number, since it uses less digits than its factorization.

132211220232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132211220232000 its reverse (232022112231), we get a palindrome (132443242344231).

The spelling of 132211220232000 in words is "one hundred thirty-two trillion, two hundred eleven billion, two hundred twenty million, two hundred thirty-two thousand".