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2132022423042 = 234107332936947
BaseRepresentation
bin11111000001100110011…
…100000110111000000010
321112211010022022211110000
4133001212130012320002
5234412340220014132
64311234303420430
7310014334404351
oct37014634067002
97484108284400
102132022423042
11752205092316
122a5249bb4716
13126083434515
14752947ad998
153a6d368287c
hex1f066706e02

2132022423042 has 80 divisors (see below), whose sum is σ = 4823536275360. Its totient is φ = 703801792512.

The previous prime is 2132022422983. The next prime is 2132022423049. The reversal of 2132022423042 is 2403242202312.

2132022423042 is a `hidden beast` number, since 2 + 132 + 0 + 224 + 2 + 304 + 2 = 666.

It is a super-2 number, since 2×21320224230422 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2132022422997 and 2132022423015.

It is not an unprimeable number, because it can be changed into a prime (2132022423049) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57686413 + ... + 57723359.

It is an arithmetic number, because the mean of its divisors is an integer number (60294203442).

Almost surely, 22132022423042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132022423042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411768137680).

2132022423042 is an abundant number, since it is smaller than the sum of its proper divisors (2691513852318).

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

2132022423042 is a wasteful number, since it uses less digits than its factorization.

2132022423042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40397 (or 40388 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2132022423042 its reverse (2403242202312), we get a palindrome (4535264625354).

The spelling of 2132022423042 in words is "two trillion, one hundred thirty-two billion, twenty-two million, four hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1926 2889 3329 5778 6658 8667 9987 17334 19974 29961 36947 59922 73894 89883 110841 179766 221682 269649 332523 356203 539298 665046 712406 997569 1068609 1995138 2137218 2992707 3205827 3953329 5985414 6411654 7906658 9617481 11859987 19234962 23719974 28852443 35579961 57704886 71159922 106739883 122996563 213479766 245993126 320219649 368989689 640439298 737979378 1106969067 2213938134 3320907201 6641814402 9962721603 13160632241 19925443206 26321264482 39481896723 78963793446 118445690169 236891380338 355337070507 710674141014 1066011211521 2132022423042