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22000001331 = 3721123837127
BaseRepresentation
bin10100011111010011…
…010110000100110011
32002210012212212022010
4110133103112010303
5330024000020311
614035012214003
71406115632400
oct243723260463
962705785263
1022000001331
11936a477690
12431b90a303
1320c7b52789
1410c9b812a7
1588b62dda6
hex51f4d6133

22000001331 has 96 divisors (see below), whose sum is σ = 39316451328. Its totient is φ = 10798455360.

The previous prime is 22000001293. The next prime is 22000001341. The reversal of 22000001331 is 13310000022.

It is a happy number.

It is not a de Polignac number, because 22000001331 - 27 = 22000001203 is a prime.

It is a super-2 number, since 2×220000013312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22000001341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3083290 + ... + 3090416.

It is an arithmetic number, because the mean of its divisors is an integer number (409546368).

Almost surely, 222000001331 is an apocalyptic number.

22000001331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22000001331 is a deficient number, since it is larger than the sum of its proper divisors (17316449997).

22000001331 is a wasteful number, since it uses less digits than its factorization.

22000001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 22000001331 its reverse (13310000022), we get a palindrome (35310001353).

The spelling of 22000001331 in words is "twenty-two billion, one thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 23 33 49 69 77 83 147 161 231 249 253 483 539 581 759 913 1127 1617 1743 1771 1909 2739 3381 4067 5313 5727 6391 7127 12201 12397 13363 19173 20999 21381 37191 40089 44737 49889 62997 78397 93541 134211 146993 149667 163921 235191 280623 349223 440979 491763 548779 591541 1028951 1047669 1147447 1646337 1774623 1803131 3086853 3442341 3841453 4140787 5409393 6506951 8032129 11524359 12422361 12621917 13605443 19520853 24096387 28985509 37865751 40816329 45548657 86956527 88353419 95238101 136645971 149659873 265060257 285714303 318840599 448979619 666666707 956521797 1047619111 2000000121 3142857333 7333333777 22000001331