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2042133401 = 71131671132
BaseRepresentation
bin111100110111000…
…0111101110011001
312021022122010101102
41321232013232121
513140241232101
6534350001145
7101414563460
oct17156075631
95238563342
102042133401
11958805060
1248baa61b5
13267109c79
141553059d7
15be43686b
hex79b87b99

2042133401 has 48 divisors (see below), whose sum is σ = 2691207168. Its totient is φ = 1503532800.

The previous prime is 2042133389. The next prime is 2042133419. The reversal of 2042133401 is 1043312402.

It is a de Polignac number, because none of the positive numbers 2k-2042133401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2042133451) 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 47 ways as a sum of consecutive naturals, for example, 18071921 + ... + 18072033.

It is an arithmetic number, because the mean of its divisors is an integer number (56066816).

Almost surely, 22042133401 is an apocalyptic number.

It is an amenable number.

2042133401 is a deficient number, since it is larger than the sum of its proper divisors (649073767).

2042133401 is a wasteful number, since it uses less digits than its factorization.

2042133401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2042133401 is about 45189.9701371886. The cubic root of 2042133401 is about 1268.7070978529.

Adding to 2042133401 its reverse (1043312402), we get a palindrome (3085445803).

The spelling of 2042133401 in words is "two billion, forty-two million, one hundred thirty-three thousand, four hundred one".

Divisors: 1 7 11 31 67 77 113 217 341 469 737 791 1243 2077 2387 3503 5159 7571 8701 12769 14539 22847 24521 38533 52997 83281 89383 140459 159929 234701 269731 395839 582967 855523 983213 1642907 2581711 2770873 4354229 5988661 9410753 18071977 26521213 30479603 65875271 185648491 291733343 2042133401