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213000031312119 = 365367138159581
BaseRepresentation
bin110000011011100011101111…
…001101000001100011110111
31000221011121022102001102000000
4300123203233031001203313
5210404243031003441434
62033002510305122343
762602513224251202
oct6033435715014367
91027147272042000
10213000031312119
116196089585a327
121ba809bb6293b3
1391b0a8058b57c
143a85383c7a939
15199594635db99
hexc1b8ef3418f7

213000031312119 has 112 divisors (see below), whose sum is σ = 330480588004704. Its totient is φ = 137139680620800.

The previous prime is 213000031312091. The next prime is 213000031312153. The reversal of 213000031312119 is 911213130000312.

213000031312119 is a `hidden beast` number, since 2 + 1 + 300 + 0 + 0 + 31 + 312 + 1 + 19 = 666.

It is not a de Polignac number, because 213000031312119 - 25 = 213000031312087 is a prime.

It is a super-2 number, since 2×2130000313121192 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213000031312092 and 213000031312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213000031312919) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3574935909 + ... + 3574995489.

Almost surely, 2213000031312119 is an apocalyptic number.

213000031312119 is a deficient number, since it is larger than the sum of its proper divisors (117480556692585).

213000031312119 is an equidigital number, since it uses as much as digits as its factorization.

213000031312119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61100 (or 61085 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 213000031312119 in words is "two hundred thirteen trillion, thirty-one million, three hundred twelve thousand, one hundred nineteen".

Divisors: 1 3 9 27 53 67 81 159 201 243 477 603 729 1381 1431 1809 3551 4143 4293 5427 10653 12429 12879 16281 31959 37287 38637 48843 59581 73193 92527 95877 111861 178743 219579 277581 287631 335583 536229 658737 832743 862893 1006749 1608687 1976211 2498229 2588679 3157793 3991927 4826061 4903931 5928633 7494687 9473379 11975781 14478183 14711793 17785899 22484061 28420137 35927343 43434549 44135379 53357697 67452183 82281361 85260411 107782029 132406137 211572131 246844083 255781233 323346087 397218411 634716393 740532249 767343699 970038261 1191655233 1904149179 2221596747 2302031097 2910114783 3574965699 4360912133 5512851187 5712447537 6664790241 13082736399 16538553561 17137342611 19994370723 39248209197 49615660683 51412027833 59983112169 117744627591 148846982049 154236083499 292181112911 353233882773 446540946147 876543338733 1059701648319 1339622838441 2629630016199 3179104944957 4018868515323 7888890048597 23666670145791 71000010437373 213000031312119