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442000131 = 3232416793
BaseRepresentation
bin11010010110000…
…110001100000011
31010210200221012020
4122112012030003
51401123001011
6111505332523
713644640056
oct3226061403
91123627166
10442000131
11207552271
12104037143
1370758651
14429b8a9d
1528c0d006
hex1a586303

442000131 has 24 divisors (see below), whose sum is σ = 631189776. Its totient is φ = 274940160.

The previous prime is 442000127. The next prime is 442000159. The reversal of 442000131 is 131000244.

It is not a de Polignac number, because 442000131 - 22 = 442000127 is a prime.

It is a super-2 number, since 2×4420001312 = 390728231608034322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442000131.

It is not an unprimeable number, because it can be changed into a prime (442005131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61671 + ... + 68463.

It is an arithmetic number, because the mean of its divisors is an integer number (26299574).

Almost surely, 2442000131 is an apocalyptic number.

442000131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

442000131 is a deficient number, since it is larger than the sum of its proper divisors (189189645).

442000131 is a wasteful number, since it uses less digits than its factorization.

442000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 442000131 is about 21023.7991571457. The cubic root of 442000131 is about 761.7412355643.

Adding to 442000131 its reverse (131000244), we get a palindrome (573000375).

The spelling of 442000131 in words is "four hundred forty-two million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 23 41 69 123 529 943 1587 2829 6793 20379 21689 65067 156239 278513 468717 835539 3593497 6405799 10780491 19217397 147333377 442000131