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21322312242 = 237112315712781
BaseRepresentation
bin10011110110111010…
…001010101000110010
32001000222200200122020
4103312322022220302
5322132002442432
613443443052310
71353246443430
oct236672125062
961028620566
1021322312242
119051986860
124170971096
13201a62560a
141063b73d50
1584bdb722c
hex4f6e8aa32

21322312242 has 128 divisors (see below), whose sum is σ = 55836684288. Its totient is φ = 5263315200.

The previous prime is 21322312223. The next prime is 21322312267. The reversal of 21322312242 is 24221322312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1661892 + ... + 1674672.

It is an arithmetic number, because the mean of its divisors is an integer number (436224096).

Almost surely, 221322312242 is an apocalyptic number.

21322312242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21322312242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27918342144).

21322312242 is an abundant number, since it is smaller than the sum of its proper divisors (34514372046).

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

21322312242 is a wasteful number, since it uses less digits than its factorization.

21322312242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12984.

The product of its digits is 2304, while the sum is 24.

Adding to 21322312242 its reverse (24221322312), we get a palindrome (45543634554).

The spelling of 21322312242 in words is "twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 157 161 231 253 314 322 462 471 483 506 759 942 966 1099 1518 1727 1771 2198 3297 3454 3542 3611 5181 5313 6594 7222 10362 10626 10833 12089 12781 21666 24178 25277 25562 36267 38343 39721 50554 72534 75831 76686 79442 89467 119163 140591 151662 178934 238326 268401 278047 281182 293963 421773 536802 556094 587926 834141 843546 881889 984137 1668282 1763778 1968274 2006617 2057741 2952411 3233593 4013234 4115482 5904822 6019851 6173223 6467186 9700779 12039702 12346446 14046319 19401558 22072787 22635151 28092638 42138957 44145574 45270302 46152191 66218361 67905453 84277914 92304382 132436722 135810906 138456573 154509509 276913146 309019018 323065337 463528527 507674101 646130674 927057054 969196011 1015348202 1523022303 1938392022 3046044606 3553718707 7107437414 10661156121 21322312242