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2190242131 = 721110393911
BaseRepresentation
bin1000001010001100…
…0111000101010011
312122122022211100221
42002203013011103
513441200222011
61001200253511
7105163515400
oct20243070523
95578284327
102190242131
11a24375370
12511611297
1328b9c607c
1416ac5b2a7
15cc440971
hex828c7153

2190242131 has 24 divisors (see below), whose sum is σ = 2782840320. Its totient is φ = 1704603600.

The previous prime is 2190242123. The next prime is 2190242167. The reversal of 2190242131 is 1312420912.

It is not a de Polignac number, because 2190242131 - 23 = 2190242123 is a prime.

It is a super-2 number, since 2×21902421312 = 9594321184814842322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2190242096 and 2190242105.

It is not an unprimeable number, because it can be changed into a prime (2190242731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558066 + ... + 561976.

It is an arithmetic number, because the mean of its divisors is an integer number (115951680).

Almost surely, 22190242131 is an apocalyptic number.

2190242131 is a deficient number, since it is larger than the sum of its proper divisors (592598189).

2190242131 is a wasteful number, since it uses less digits than its factorization.

2190242131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2190242131 is about 46800.0227670885. The cubic root of 2190242131 is about 1298.6657179827.

The spelling of 2190242131 in words is "two billion, one hundred ninety million, two hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 7 11 49 77 539 1039 3911 7273 11429 27377 43021 50911 80003 191639 301147 560021 2108029 4063529 28444703 44698819 199112921 312891733 2190242131