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2122034323140 = 2233517601384623
BaseRepresentation
bin11110111000010011000…
…110100001111011000100
321111212100012221210012000
4132320103012201323010
5234231411241320030
64302503224025300
7306211663064514
oct36702306417304
97455305853160
102122034323140
11748a4a065aa6
122a3321002230
13125151052734
14749c8067844
153a2eb875860
hex1ee131a1ec4

2122034323140 has 192 divisors, whose sum is σ = 7001879915520. Its totient is φ = 531701452800.

The previous prime is 2122034323127. The next prime is 2122034323141. The reversal of 2122034323140 is 413234302212.

2122034323140 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 343 + 2 + 314 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2122034323141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5324869 + ... + 5709491.

It is an arithmetic number, because the mean of its divisors is an integer number (36468124560).

Almost surely, 22122034323140 is an apocalyptic number.

2122034323140 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 2122034323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500939957760).

2122034323140 is an abundant number, since it is smaller than the sum of its proper divisors (4879845592380).

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

2122034323140 is a wasteful number, since it uses less digits than its factorization.

2122034323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385259 (or 385251 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2122034323140 its reverse (413234302212), we get a palindrome (2535268625352).

The spelling of 2122034323140 in words is "two trillion, one hundred twenty-two billion, thirty-four million, three hundred twenty-three thousand, one hundred forty".