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21012001122 = 23717167313563
BaseRepresentation
bin10011100100011010…
…011011000101100010
32000020100210020210210
4103210122123011202
5321013033013442
613353000034550
71342461030330
oct234432330542
960210706723
1021012001122
118a027aa492
1240a4a62a56
131c9b257478
141034878b50
1582ea1d19c
hex4e469b162

21012001122 has 128 divisors (see below), whose sum is σ = 51411677184. Its totient is φ = 5588563968.

The previous prime is 21012001121. The next prime is 21012001163. The reversal of 21012001122 is 22110021012.

It is a junction number, because it is equal to n+sod(n) for n = 21012001098 and 21012001107.

It is not an unprimeable number, because it can be changed into a prime (21012001121) 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, 37321213 + ... + 37321775.

It is an arithmetic number, because the mean of its divisors is an integer number (401653728).

Almost surely, 221012001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25705838592).

21012001122 is an abundant number, since it is smaller than the sum of its proper divisors (30399676062).

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

21012001122 is a wasteful number, since it uses less digits than its factorization.

21012001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21012001122 its reverse (22110021012), we get a palindrome (43122022134).

The spelling of 21012001122 in words is "twenty-one billion, twelve million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 167 238 313 334 357 501 563 626 714 939 1002 1126 1169 1689 1878 2191 2338 2839 3378 3507 3941 4382 5321 5678 6573 7014 7882 8517 9571 10642 11823 13146 15963 17034 19142 19873 23646 28713 31926 37247 39746 52271 57426 59619 66997 74494 94021 104542 111741 119238 133994 156813 176219 188042 200991 223482 282063 313626 352438 365897 401982 528657 564126 658147 731794 888607 1057314 1097691 1233533 1316294 1598357 1777214 1974441 2195382 2467066 2665821 2995723 3196714 3700599 3948882 4795071 5331642 5991446 6220249 7401198 8987169 9590142 11188499 12440498 17974338 18660747 20970061 22376998 29428573 33565497 37321494 41940122 58857146 62910183 67130994 88285719 125820366 176571438 206000011 412000022 500285741 618000033 1000571482 1236000066 1500857223 3001714446 3502000187 7004000374 10506000561 21012001122