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10221301412 = 2272439711249
BaseRepresentation
bin10011000010011110…
…01010111010100100
3222101100011220120222
421201033022322210
5131413123121122
64410125543512
7511202425400
oct114117127244
928340156528
1010221301412
114375727043
121b93114b98
13c6b7c235a
146cd6cc100
153ec523b42
hex2613caea4

10221301412 has 72 divisors (see below), whose sum is σ = 21330540000. Its totient is φ = 4270855680.

The previous prime is 10221301403. The next prime is 10221301417. The reversal of 10221301412 is 21410312201.

It is not an unprimeable number, because it can be changed into a prime (10221301417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8182964 + ... + 8184212.

It is an arithmetic number, because the mean of its divisors is an integer number (296257500).

Almost surely, 210221301412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221301412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10665270000).

10221301412 is an abundant number, since it is smaller than the sum of its proper divisors (11109238588).

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

10221301412 is a wasteful number, since it uses less digits than its factorization.

10221301412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10221301412 its reverse (21410312201), we get a palindrome (31631613613).

The spelling of 10221301412 in words is "ten billion, two hundred twenty-one million, three hundred one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 971 1204 1249 1942 2107 2498 3884 4214 4996 6797 8428 8743 13594 17486 27188 34972 41753 47579 53707 61201 83506 95158 107414 122402 167012 190316 214828 244804 292271 375949 584542 751898 1169084 1212779 1503796 2045897 2425558 2631643 4091794 4851116 5263286 8183588 8489453 10526572 16978906 33957812 52149497 59426171 104298994 118852342 208597988 237704684 365046479 730092958 1460185916 2555325353 5110650706 10221301412