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21213332322 = 23713293736209
BaseRepresentation
bin10011110000011010…
…011100001101100010
32000202101121221021220
4103300122130031202
5321421103113242
613424551155510
71350454230630
oct236032341542
960671557256
1021213332322
118aa6411606
124140375b96
132000b89660
1410534c6350
1584253bbec
hex4f069c362

21213332322 has 128 divisors (see below), whose sum is σ = 55479513600. Its totient is φ = 5255663616.

The previous prime is 21213332317. The next prime is 21213332323. The reversal of 21213332322 is 22323331212.

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 = 21213332292 and 21213332301.

It is not an unprimeable number, because it can be changed into a prime (21213332323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 567754 + ... + 603962.

It is an arithmetic number, because the mean of its divisors is an integer number (433433700).

Almost surely, 221213332322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213332322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27739756800).

21213332322 is an abundant number, since it is smaller than the sum of its proper divisors (34266181278).

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

21213332322 is a wasteful number, since it uses less digits than its factorization.

21213332322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36300.

The product of its digits is 2592, while the sum is 24.

Adding to 21213332322 its reverse (22323331212), we get a palindrome (43536663534).

The spelling of 21213332322 in words is "twenty-one billion, two hundred thirteen million, three hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 29 37 39 42 58 74 78 87 91 111 174 182 203 222 259 273 377 406 481 518 546 609 754 777 962 1073 1131 1218 1443 1554 2146 2262 2639 2886 3219 3367 5278 6438 6734 7511 7917 10101 13949 15022 15834 20202 22533 27898 36209 41847 45066 72418 83694 97643 108627 195286 217254 253463 292929 470717 506926 585858 760389 941434 1050061 1339733 1412151 1520778 2100122 2679466 2824302 3150183 3295019 4019199 6300366 6590038 7350427 8038398 9378131 9885057 13650793 14700854 17416529 18756262 19770114 22051281 27301586 28134393 34833058 38852257 40952379 44102562 52249587 56268786 77704514 81904758 95555551 104499174 116556771 121915703 191111102 233113542 243831406 271965799 286666653 365747109 505079341 543931598 573333306 731494218 815897397 1010158682 1515238023 1631794794 3030476046 3535555387 7071110774 10606666161 21213332322