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20212000212195 = 325113111311656387
BaseRepresentation
bin1001001100001111110010…
…00101111100010011100011
32122120020201001021010120200
410212013321011330103203
510122123134023242240
6110553133102240243
74154161131055161
oct446077105742343
978506631233520
1020212000212195
116492952215280
122325279b86083
13b37ca281018c
144dc3a1db4231
15250b61abd930
hex1261f917c4e3

20212000212195 has 96 divisors (see below), whose sum is σ = 39801063204864. Its totient is φ = 9399709670400.

The previous prime is 20212000212193. The next prime is 20212000212199. The reversal of 20212000212195 is 59121200021202.

It is a happy number.

It is not a de Polignac number, because 20212000212195 - 21 = 20212000212193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20212000212193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4094209 + ... + 7562178.

It is an arithmetic number, because the mean of its divisors is an integer number (414594408384).

Almost surely, 220212000212195 is an apocalyptic number.

20212000212195 is a deficient number, since it is larger than the sum of its proper divisors (19589062992669).

20212000212195 is a wasteful number, since it uses less digits than its factorization.

20212000212195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656553 (or 11656550 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 20212000212195 its reverse (59121200021202), we get a palindrome (79333200233397).

The spelling of 20212000212195 in words is "twenty trillion, two hundred twelve billion, two hundred twelve thousand, one hundred ninety-five".

Divisors: 1 3 5 9 11 15 31 33 45 55 93 99 113 155 165 279 339 341 465 495 565 1017 1023 1243 1395 1695 1705 3069 3503 3729 5085 5115 6215 10509 11187 15345 17515 18645 31527 38533 52545 55935 115599 157635 192665 346797 577995 1733985 11656387 34969161 58281935 104907483 128220257 174845805 361347997 384660771 524537415 641101285 1084043991 1153982313 1317171731 1806739985 1923303855 3252131973 3951515193 3974827967 5420219955 5769911565 6585858655 11854545579 11924483901 14488889041 16260659865 19757575965 19874139835 35773451703 40832323661 43466667123 59272727895 59622419505 72444445205 122496970983 130400001369 178867258515 204161618305 217333335615 367490912949 449155560271 612484854915 652000006845 1347466680813 1837454564745 2245777801355 4042400042439 6737333404065 20212000212195