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2042001012 = 2232914713989
BaseRepresentation
bin111100110110110…
…0111011001110100
312021022101101210010
41321231213121310
513140223013022
6534343100220
7101413502502
oct17155473164
95238341703
102042001012
11958724647
1248ba41670
1326709192c
141552ad672
15be40c50c
hex79b67674

2042001012 has 48 divisors (see below), whose sum is σ = 4933555200. Its totient is φ = 656584320.

The previous prime is 2042001011. The next prime is 2042001043. The reversal of 2042001012 is 2101002402.

It is a super-3 number, since 3×20420010123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042001011) 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 15 ways as a sum of consecutive naturals, for example, 509914 + ... + 513902.

It is an arithmetic number, because the mean of its divisors is an integer number (102782400).

Almost surely, 22042001012 is an apocalyptic number.

It is an amenable number.

2042001012 is an abundant number, since it is smaller than the sum of its proper divisors (2891554188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2042001012 is a wasteful number, since it uses less digits than its factorization.

2042001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2042001012 is about 45188.5053083193. The cubic root of 2042001012 is about 1268.6796810195.

Adding to 2042001012 its reverse (2101002402), we get a palindrome (4143003414).

The spelling of 2042001012 in words is "two billion, forty-two million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 1471 2942 3989 4413 5884 7978 8826 11967 15956 17652 23934 42659 47868 85318 115681 127977 170636 231362 255954 347043 462724 511908 694086 1388172 5867819 11735638 17603457 23471276 35206914 70413828 170166751 340333502 510500253 680667004 1021000506 2042001012