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2142140131220 = 225107107006561
BaseRepresentation
bin11111001011000001100…
…000000110011110010100
321120210020102120122211112
4133023001200012132110
5240044100333144340
64320030253154152
7310523141454005
oct37130140063624
97523212518745
102142140131220
11756527293211
122a71b248b958
131270066256ab
14759744131ac
153aac6a42065
hex1f2c1806794

2142140131220 has 12 divisors (see below), whose sum is σ = 4498494275604. Its totient is φ = 856856052480.

The previous prime is 2142140131217. The next prime is 2142140131223. The reversal of 2142140131220 is 221310412412.

It is an interprime number because it is at equal distance from previous prime (2142140131217) and next prime (2142140131223).

It can be written as a sum of positive squares in 2 ways, for example, as 719287179664 + 1422852951556 = 848108^2 + 1192834^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142140131223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53553503261 + ... + 53553503300.

It is an arithmetic number, because the mean of its divisors is an integer number (374874522967).

Almost surely, 22142140131220 is an apocalyptic number.

2142140131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142140131220 is an abundant number, since it is smaller than the sum of its proper divisors (2356354144384).

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

2142140131220 is a wasteful number, since it uses less digits than its factorization.

2142140131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107107006570 (or 107107006568 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2142140131220 its reverse (221310412412), we get a palindrome (2363450543632).

The spelling of 2142140131220 in words is "two trillion, one hundred forty-two billion, one hundred forty million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 107107006561 214214013122 428428026244 535535032805 1071070065610 2142140131220