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1320042141 = 321147283697
BaseRepresentation
bin100111010101110…
…0011111010011101
310101222220002101200
41032223203322131
510200412322031
6334553030113
744466113235
oct11653437235
93358802350
101320042141
11618147220
1230a0b5339
13180634632
14c745acc5
157ad4d8e6
hex4eae3e9d

1320042141 has 24 divisors (see below), whose sum is σ = 2124330624. Its totient is φ = 783000960.

The previous prime is 1320042121. The next prime is 1320042167. The reversal of 1320042141 is 1412400231.

1320042141 is a `hidden beast` number, since 1 + 3 + 200 + 421 + 41 = 666.

It is not a de Polignac number, because 1320042141 - 29 = 1320041629 is a prime.

It is a super-2 number, since 2×13200421412 = 3485022508031727762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320042121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137196 + ... + 146501.

It is an arithmetic number, because the mean of its divisors is an integer number (88513776).

Almost surely, 21320042141 is an apocalyptic number.

1320042141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1320042141 is a deficient number, since it is larger than the sum of its proper divisors (804288483).

1320042141 is a wasteful number, since it uses less digits than its factorization.

1320042141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283761 (or 283758 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1320042141 is about 36332.3841909666. The cubic root of 1320042141 is about 1096.9729838589.

Adding to 1320042141 its reverse (1412400231), we get a palindrome (2732442372).

The spelling of 1320042141 in words is "one billion, three hundred twenty million, forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 47 99 141 423 517 1551 4653 283697 851091 2553273 3120667 9362001 13333759 28086003 40001277 120003831 146671349 440014047 1320042141