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21232233223212 = 223114091139934501
BaseRepresentation
bin1001101001111100000111…
…01110000001010000101100
32210011210002211200000100010
410310332003232001100230
510240332103201120322
6113053541524333220
74320656350424424
oct464760356012054
983153084600303
1021232233223212
1168465a3149880
12246ab47b44210
13bb026382828b
14535907639484
1526c47477b20c
hex134f83b8142c

21232233223212 has 96 divisors (see below), whose sum is σ = 54184148928000. Its totient is φ = 6417529920000.

The previous prime is 21232233223193. The next prime is 21232233223231.

It is a happy number.

21232233223212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21232233223193) and next prime (21232233223231).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21232233223212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615391962 + ... + 615426462.

It is an arithmetic number, because the mean of its divisors is an integer number (564418218000).

Almost surely, 221232233223212 is an apocalyptic number.

21232233223212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21232233223212 is an abundant number, since it is smaller than the sum of its proper divisors (32951915704788).

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

21232233223212 is a wasteful number, since it uses less digits than its factorization.

21232233223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46327 (or 46325 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2123223 and 3223212, that added together give a palindrome (5346435).

The spelling of 21232233223212 in words is "twenty-one trillion, two hundred thirty-two billion, two hundred thirty-three million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 409 818 1227 1636 2454 4499 4908 8998 11399 13497 17996 22798 26994 34197 34501 45596 53988 68394 69002 103503 125389 136788 138004 207006 250778 376167 379511 414012 501556 752334 759022 1138533 1504668 1518044 2277066 4554132 4662191 9324382 13986573 14110909 18648764 27973146 28221818 42332727 51284101 55946292 56443636 84665454 102568202 153852303 155219999 169330908 205136404 307704606 310439998 393276899 465659997 615409212 620879996 786553798 931319994 1179830697 1573107596 1862639988 2359661394 4326045889 4719322788 8652091778 12978137667 17304183556 25956275334 51912550668 160850251691 321700503382 482550755073 643401006764 965101510146 1769352768601 1930203020292 3538705537202 5308058305803 7077411074404 10616116611606 21232233223212