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22010321313 = 3229379723497
BaseRepresentation
bin10100011111111010…
…101101100110100001
32002210221022011122200
4110133322231212201
5330034120240223
614040021323413
71406302433661
oct243772554641
962727264580
1022010321313
1193752861a2
124323266569
1320ca026b86
1410cb2aa1a1
1588c4bba43
hex51fead9a1

22010321313 has 48 divisors (see below), whose sum is σ = 34127555280. Its totient is φ = 13641965568.

The previous prime is 22010321269. The next prime is 22010321327. The reversal of 22010321313 is 31312301022.

22010321313 is a `hidden beast` number, since 2 + 20 + 10 + 321 + 313 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2875962384 + 19134358929 = 53628^2 + 138327^2 .

It is not a de Polignac number, because 22010321313 - 216 = 22010255777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22010321363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 924981 + ... + 948477.

It is an arithmetic number, because the mean of its divisors is an integer number (710990735).

Almost surely, 222010321313 is an apocalyptic number.

It is an amenable number.

22010321313 is a deficient number, since it is larger than the sum of its proper divisors (12117233967).

22010321313 is a wasteful number, since it uses less digits than its factorization.

22010321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23666 (or 23663 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22010321313 its reverse (31312301022), we get a palindrome (53322622335).

The spelling of 22010321313 in words is "twenty-two billion, ten million, three hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 9 29 37 87 97 111 261 291 333 873 1073 2813 3219 3589 8439 9657 10767 23497 25317 32301 70491 104081 211473 312243 681413 869389 936729 2044239 2279209 2608167 6132717 6837627 7824501 20512881 25212281 66097061 75636843 84330733 198291183 226910529 252992199 594873549 758976597 2445591257 7336773771 22010321313