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2142688031 = 11527936899
BaseRepresentation
bin111111110110110…
…1101001100011111
312112022211211101222
41333231231030133
513342012004111
6552341123555
7104045355611
oct17755551437
95468754358
102142688031
119aa545260
124b96b95bb
13281bb6053
141647dcdb1
15c819a7db
hex7fb6d31f

2142688031 has 8 divisors (see below), whose sum is σ = 2337984000. Its totient is φ = 1947476440.

The previous prime is 2142688021. The next prime is 2142688057. The reversal of 2142688031 is 1308862412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2142688031 - 210 = 2142687007 is a prime.

It is a super-2 number, since 2×21426880312 = 9182223996381313922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2142687982 and 2142688000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142688001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39620 + ... + 76518.

It is an arithmetic number, because the mean of its divisors is an integer number (292248000).

Almost surely, 22142688031 is an apocalyptic number.

2142688031 is a deficient number, since it is larger than the sum of its proper divisors (195295969).

2142688031 is a wasteful number, since it uses less digits than its factorization.

2142688031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42189.

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 2142688031 is about 46289.1783357622. The cubic root of 2142688031 is about 1289.1980735879.

The spelling of 2142688031 in words is "two billion, one hundred forty-two million, six hundred eighty-eight thousand, thirty-one".

Divisors: 1 11 5279 36899 58069 405889 194789821 2142688031