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21342032322 = 231317107359419
BaseRepresentation
bin10011111000000101…
…011001000111000010
32001002100210120111120
4103320011121013002
5322202030013242
613445425453110
71353606165402
oct237005310702
961070716446
1021342032322
119062025846
1241774a1196
13202173b4c0
141066628802
1584d9b01ec
hex4f81591c2

21342032322 has 128 divisors (see below), whose sum is σ = 49380710400. Its totient is φ = 6091109376.

The previous prime is 21342032317. The next prime is 21342032347. The reversal of 21342032322 is 22323024312.

It is a junction number, because it is equal to n+sod(n) for n = 21342032292 and 21342032301.

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, 50935429 + ... + 50935847.

It is an arithmetic number, because the mean of its divisors is an integer number (385786800).

Almost surely, 221342032322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21342032322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24690355200).

21342032322 is an abundant number, since it is smaller than the sum of its proper divisors (28038678078).

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

21342032322 is a wasteful number, since it uses less digits than its factorization.

21342032322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 21342032322 its reverse (22323024312), we get a palindrome (43665056634).

The spelling of 21342032322 in words is "twenty-one billion, three hundred forty-two million, thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 107 214 221 321 359 419 442 642 663 718 838 1077 1257 1326 1391 1819 2154 2514 2782 3638 4173 4667 5447 5457 6103 7123 8346 9334 10894 10914 12206 14001 14246 16341 18309 21369 23647 28002 32682 36618 38413 42738 44833 47294 70941 76826 79339 89666 92599 115239 134499 141882 150421 158678 185198 230478 238017 268998 277797 300842 451263 476034 499369 555594 582829 653021 762161 902526 998738 1165658 1306042 1498107 1524322 1748487 1955473 1959063 2286483 2557157 2996214 3496974 3910946 3918126 4572966 5114314 5866419 7671471 8489273 9908093 11732838 15342942 16095047 16978546 19816186 25467819 29724279 32190094 33243041 48285141 50935638 59448558 66486082 96570282 99729123 199458246 209235611 273615799 418471222 547231598 627706833 820847397 1255413666 1641694794 3557005387 7114010774 10671016161 21342032322