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42120321331 = 11376116710159
BaseRepresentation
bin100111001110100100…
…010001100100110011
311000201102211000120011
4213032210101210303
51142230300240311
631203320355351
73020531552434
oct471644214463
9130642730504
1042120321331
1116954906920
1281b6015b57
133c83436b7a
14207802748b
151167c15321
hex9ce911933

42120321331 has 32 divisors (see below), whose sum is σ = 48256911360. Its totient is φ = 36422524800.

The previous prime is 42120321311. The next prime is 42120321343. The reversal of 42120321331 is 13312302124.

It is a cyclic number.

It is not a de Polignac number, because 42120321331 - 29 = 42120320819 is a prime.

It is a super-2 number, since 2×421203213312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42120321311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4141030 + ... + 4151188.

It is an arithmetic number, because the mean of its divisors is an integer number (1508028480).

Almost surely, 242120321331 is an apocalyptic number.

42120321331 is a deficient number, since it is larger than the sum of its proper divisors (6136590029).

42120321331 is a wasteful number, since it uses less digits than its factorization.

42120321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10435.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 42120321331 its reverse (13312302124), we get a palindrome (55432623455).

The spelling of 42120321331 in words is "forty-two billion, one hundred twenty million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 11 37 61 167 407 671 1837 2257 6179 10159 10187 24827 67969 111749 112057 375883 376919 619699 1696553 4134713 4146109 6816689 18662083 22928863 62772461 103489733 252217493 690497071 1138387063 3829120121 42120321331