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2131222311720 = 23325231132277823
BaseRepresentation
bin11111000000110110101…
…111111011001100101000
321112202001112202222001100
4133000312233323030220
5234404220402433340
64311023042321400
7306655450515315
oct37006657731450
97482045688040
102131222311720
11751934485897
122a5066059260
13125c86742a78
147521a415d0c
153a6882d7830
hex1f036bfb328

2131222311720 has 192 divisors, whose sum is σ = 7291587962880. Its totient is φ = 538805127168.

The previous prime is 2131222311709. The next prime is 2131222311721. The reversal of 2131222311720 is 271132221312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2131222311721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 203272 + ... + 2074551.

It is an arithmetic number, because the mean of its divisors is an integer number (37977020640).

Almost surely, 22131222311720 is an apocalyptic number.

2131222311720 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 2131222311720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645793981440).

2131222311720 is an abundant number, since it is smaller than the sum of its proper divisors (5160365651160).

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

2131222311720 is a wasteful number, since it uses less digits than its factorization.

2131222311720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277976 (or 2277969 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2131222311720 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-two million, three hundred eleven thousand, seven hundred twenty".