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2042021203131 = 37132575379319
BaseRepresentation
bin11101101101110001111…
…100101100110010111011
321020012210222011010220210
4131231301330230302323
5231424024412000011
64202031441122203
7300350121560250
oct35556174546273
97205728133823
102042021203131
1171801a808738
1228b910929363
1311a73c2a5c00
1470b97675427
15381b71646a6
hex1db71f2ccbb

2042021203131 has 24 divisors (see below), whose sum is σ = 3369421297920. Its totient is φ = 1077110083296.

The previous prime is 2042021203121. The next prime is 2042021203193. The reversal of 2042021203131 is 1313021202402.

It is not a de Polignac number, because 2042021203131 - 210 = 2042021202107 is a prime.

It is a super-3 number, since 3×20420212031313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2042021203098 and 2042021203107.

It is not an unprimeable number, because it can be changed into a prime (2042021203121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287686111 + ... + 287693208.

It is an arithmetic number, because the mean of its divisors is an integer number (140392554080).

Almost surely, 22042021203131 is an apocalyptic number.

2042021203131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2042021203131 is a deficient number, since it is larger than the sum of its proper divisors (1327400094789).

2042021203131 is a wasteful number, since it uses less digits than its factorization.

2042021203131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575379355 (or 575379342 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2042021203131 its reverse (1313021202402), we get a palindrome (3355042405533).

The spelling of 2042021203131 in words is "two trillion, forty-two billion, twenty-one million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 169 273 507 1183 3549 575379319 1726137957 4027655233 7479931147 12082965699 22439793441 52359518029 97239104911 157078554087 291717314733 680673734377 2042021203131