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2642340312131 = 1323137615110487
BaseRepresentation
bin100110011100110111110…
…000010111010001000011
3100100121100020110121122212
4212130313300113101003
5321243003104442011
65341512511052335
7361621441033232
oct46346760272103
910317306417585
102642340312131
11929679247583
1236812a5110ab
13162230091bc0
1491c66064b19
1548b0001808b
hex26737c17443

2642340312131 has 32 divisors (see below), whose sum is σ = 2991764256768. Its totient is φ = 2315409465600.

The previous prime is 2642340312103. The next prime is 2642340312151. The reversal of 2642340312131 is 1312130432462.

2642340312131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2642340312131 - 26 = 2642340312067 is a prime.

It is a super-2 number, since 2×26423403121312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2642340312151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251958170 + ... + 251968656.

It is an arithmetic number, because the mean of its divisors is an integer number (93492633024).

Almost surely, 22642340312131 is an apocalyptic number.

2642340312131 is a deficient number, since it is larger than the sum of its proper divisors (349423944637).

2642340312131 is a wasteful number, since it uses less digits than its factorization.

2642340312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16811.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 2642340312131 its reverse (1312130432462), we get a palindrome (3954470744593).

The spelling of 2642340312131 in words is "two trillion, six hundred forty-two billion, three hundred forty million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 13 23 137 299 1781 3151 6151 10487 40963 79963 136331 141473 241201 842687 1436719 1839149 3135613 10954931 18677347 19381801 33044537 64505537 251963413 429578981 838571981 1483627351 8837258569 19287155563 114884361397 203256947087 2642340312131