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21221123321232 = 243399749270783
BaseRepresentation
bin1001101001100111011011…
…00001000110110110010000
32210010201102120102111221000
410310303231201012312100
510240141330032234412
6113044503252502000
74320114135005562
oct464635541066620
983121376374830
1021221123321232
116841911976aaa
12246896731a900
13bac1b2c01093
14535171d1b332
1526c02422d4dc
hex134ced846d90

21221123321232 has 80 divisors (see below), whose sum is σ = 60973580615680. Its totient is φ = 7066612637568.

The previous prime is 21221123321179. The next prime is 21221123321309. The reversal of 21221123321232 is 23212332112212.

21221123321232 is a `hidden beast` number, since 2 + 1 + 2 + 211 + 233 + 212 + 3 + 2 = 666.

21221123321232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 21221123321196 and 21221123321205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24204688 + ... + 25066095.

It is an arithmetic number, because the mean of its divisors is an integer number (762169757696).

Almost surely, 221221123321232 is an apocalyptic number.

It is an amenable number.

21221123321232 is an abundant number, since it is smaller than the sum of its proper divisors (39752457294448).

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

21221123321232 is a wasteful number, since it uses less digits than its factorization.

21221123321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49271797 (or 49271785 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 21221123321232 its reverse (23212332112212), we get a palindrome (44433455433444).

The spelling of 21221123321232 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-three million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 997 1994 2991 3988 5982 7976 8973 11964 15952 17946 23928 26919 35892 47856 53838 71784 107676 143568 215352 430704 49270783 98541566 147812349 197083132 295624698 394166264 443437047 591249396 788332528 886874094 1182498792 1330311141 1773748188 2364997584 2660622282 3547496376 5321244564 7094992752 10642489128 21284978256 49122970651 98245941302 147368911953 196491882604 294737823906 392983765208 442106735859 589475647812 785967530416 884213471718 1178951295624 1326320207577 1768426943436 2357902591248 2652640415154 3536853886872 5305280830308 7073707773744 10610561660616 21221123321232