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2137088419201 = 13318571604593
BaseRepresentation
bin11111000110010100011…
…001010110010110000001
321120022012100220002201101
4133012110121112112001
5240003224113403301
64313433113334401
7310254020561431
oct37062431262601
97508170802641
102137088419201
117543747761aa
122a6222707401
131266acb5c398
14756155302c1
153a8cd2c3701
hex1f194656581

2137088419201 has 4 divisors (see below), whose sum is σ = 2137091355652. Its totient is φ = 2137085482752.

The previous prime is 2137088419163. The next prime is 2137088419217. The reversal of 2137088419201 is 1029148807312.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 2011347968400 + 125740450801 = 1418220^2 + 354599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137088419201 - 27 = 2137088419073 is a prime.

It is a super-2 number, since 2×21370884192012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2137088419801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 529561 + ... + 2134153.

It is an arithmetic number, because the mean of its divisors is an integer number (534272838913).

Almost surely, 22137088419201 is an apocalyptic number.

It is an amenable number.

2137088419201 is a deficient number, since it is larger than the sum of its proper divisors (2936451).

2137088419201 is a wasteful number, since it uses less digits than its factorization.

2137088419201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936450.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 2137088419201 in words is "two trillion, one hundred thirty-seven billion, eighty-eight million, four hundred nineteen thousand, two hundred one".

Divisors: 1 1331857 1604593 2137088419201