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2130141251520 = 26325173143127257
BaseRepresentation
bin11110111111110110010…
…100000000011111000000
321112122021012120102020200
4132333312110000133000
5234400012130022040
64310323503405200
7306616612614312
oct36776624003700
97478235512220
102130141251520
1175142a227307
122a4a03bb3800
13125b43793a89
1475156a077b2
153a623443630
hex1eff65007c0

2130141251520 has 1344 divisors, whose sum is σ = 8290928295936. Its totient is φ = 499415777280.

The previous prime is 2130141251519. The next prime is 2130141251521. The reversal of 2130141251520 is 251521410312.

It is a happy number.

2130141251520 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 14 + 125 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2130141251519) and next prime (2130141251521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130141251521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8288487232 + ... + 8288487488.

Almost surely, 22130141251520 is an apocalyptic number.

2130141251520 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 2130141251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145464147968).

2130141251520 is an abundant number, since it is smaller than the sum of its proper divisors (6160787044416).

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

2130141251520 is a wasteful number, since it uses less digits than its factorization.

2130141251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 2130141251520 its reverse (251521410312), we get a palindrome (2381662661832).

The spelling of 2130141251520 in words is "two trillion, one hundred thirty billion, one hundred forty-one million, two hundred fifty-one thousand, five hundred twenty".