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42135001331 = 1910122995881
BaseRepresentation
bin100111001111011100…
…010001100011110011
311000202110102211201212
4213033130101203303
51142243030020311
631205003150335
73021100413323
oct471734214363
9130673384655
1042135001331
1116962123155
1281bab153ab
133c864a6967
142079d69283
151169164c8b
hex9cf7118f3

42135001331 has 16 divisors (see below), whose sum is σ = 44987834400. Its totient is φ = 39349152000.

The previous prime is 42135001289. The next prime is 42135001373. The reversal of 42135001331 is 13310053124.

It is an interprime number because it is at equal distance from previous prime (42135001289) and next prime (42135001373).

It is not a de Polignac number, because 42135001331 - 210 = 42135000307 is a prime.

It is a super-2 number, since 2×421350013312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42135001297 and 42135001306.

It is not an unprimeable number, because it can be changed into a prime (42135001031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391511 + ... + 487391.

It is an arithmetic number, because the mean of its divisors is an integer number (2811739650).

Almost surely, 242135001331 is an apocalyptic number.

42135001331 is a deficient number, since it is larger than the sum of its proper divisors (2852833069).

42135001331 is a wasteful number, since it uses less digits than its factorization.

42135001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96230.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 42135001331 its reverse (13310053124), we get a palindrome (55445054455).

The spelling of 42135001331 in words is "forty-two billion, one hundred thirty-five million, one thousand, three hundred thirty-one".

Divisors: 1 19 101 229 1919 4351 23129 95881 439451 1821739 9683981 21956749 183995639 417178231 2217631649 42135001331