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21231433413212 = 2211171012659105691
BaseRepresentation
bin1001101001111010101000…
…00010111111001001011100
32210011201001002200110021112
410310331110002333021130
510240323433423210322
6113053330313521152
74320630466232021
oct464752402771134
983151032613245
1021231433413212
116846222728780
12246a9641131b8
13bb0166c10a19
1453586d31d548
1526c4294405e2
hex134f540bf25c

21231433413212 has 96 divisors (see below), whose sum is σ = 43358646401280. Its totient is φ = 8989568640000.

The previous prime is 21231433413191. The next prime is 21231433413221.

21231433413212 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 200829287 + ... + 200934977.

It is an arithmetic number, because the mean of its divisors is an integer number (451652566680).

Almost surely, 221231433413212 is an apocalyptic number.

21231433413212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21231433413212 is an abundant number, since it is smaller than the sum of its proper divisors (22127212988068).

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

21231433413212 is a wasteful number, since it uses less digits than its factorization.

21231433413212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108483 (or 108481 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 2123143 and 3413212, that added together give a palindrome (5536355).

The spelling of 21231433413212 in words is "twenty-one trillion, two hundred thirty-one billion, four hundred thirty-three million, four hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 4 11 17 22 34 44 68 101 187 202 374 404 748 1111 1717 2222 2659 3434 4444 5318 6868 10636 18887 29249 37774 45203 58498 75548 90406 105691 116996 180812 211382 268559 422764 497233 537118 994466 1074236 1162601 1796747 1988932 2325202 2954149 3593494 4565503 4650404 5908298 7186988 9131006 10674791 11816596 18262012 19764217 21349582 39528434 42699164 50220533 79056868 100441066 117422701 181471447 200882132 234845402 281032369 362942894 469690804 562064738 725885788 1124129476 1996185917 3091356059 3992371834 4777550273 6182712118 7984743668 9555100546 12365424236 19110201092 28384269269 52553053003 56768538538 105106106006 113537077076 210212212012 312226961959 482532577573 624453923918 965065155146 1248907847836 1930130310292 5307858353303 10615716706606 21231433413212