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2132330212320 = 25357111710133601
BaseRepresentation
bin11111000001111000110…
…010001110101111100000
321112211220202111010221220
4133001320302032233200
5234414003013243240
64311325020415040
7310025062515240
oct37017062165740
97484822433856
102132330212320
117523528a6a20
122a53150a7480
1312610212b859
14752c360db20
153a7006ce5d0
hex1f078c8ebe0

2132330212320 has 768 divisors, whose sum is σ = 8954901817344. Its totient is φ = 412876800000.

The previous prime is 2132330212307. The next prime is 2132330212343. The reversal of 2132330212320 is 232120332312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63443520 + ... + 63477120.

It is an arithmetic number, because the mean of its divisors is an integer number (11660028408).

Almost surely, 22132330212320 is an apocalyptic number.

2132330212320 is a gapful number since it is divisible by the number (20) 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 2132330212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477450908672).

2132330212320 is an abundant number, since it is smaller than the sum of its proper divisors (6822571605024).

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

2132330212320 is a wasteful number, since it uses less digits than its factorization.

2132330212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33755 (or 33747 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2132330212320 its reverse (232120332312), we get a palindrome (2364450544632).

The spelling of 2132330212320 in words is "two trillion, one hundred thirty-two billion, three hundred thirty million, two hundred twelve thousand, three hundred twenty".