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2131422231120 = 2435721313941799
BaseRepresentation
bin11111000001000010101…
…010100011101001010000
321112202120110221220220120
4133001002222203221100
5234410123042343440
64311054543310240
7306663426015600
oct37010252435120
97482513856816
102131422231120
11751a27313236
122a5100bab380
13125cb8c9c480
1475238bb6c00
153a69ab27dd0
hex1f042aa3a50

2131422231120 has 240 divisors, whose sum is σ = 8277413961600. Its totient is φ = 449706636288.

The previous prime is 2131422231097. The next prime is 2131422231121. The reversal of 2131422231120 is 211322241312.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131422231121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6818020 + ... + 7123779.

It is an arithmetic number, because the mean of its divisors is an integer number (34489224840).

Almost surely, 22131422231120 is an apocalyptic number.

2131422231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131422231120 is an abundant number, since it is smaller than the sum of its proper divisors (6145991730480).

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

2131422231120 is a wasteful number, since it uses less digits than its factorization.

2131422231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13941842 (or 13941829 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2131422231120 its reverse (211322241312), we get a palindrome (2342744472432).

The spelling of 2131422231120 in words is "two trillion, one hundred thirty-one billion, four hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".