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21121111210122 = 232711109537139121
BaseRepresentation
bin1001100110101101001000…
…10101001011100010001010
32202210011021112222212100200
410303112210111023202022
510232022013432210442
6112530523214113030
74306643553045660
oct463264425134212
982704245885320
1021121111210122
11680345a719720
1224514b54ab776
13ba2934a40c01
145303a5426c30
1526961de0034c
hex1335a454b88a

21121111210122 has 96 divisors (see below), whose sum is σ = 57055361261184. Its totient is φ = 5485913395200.

The previous prime is 21121111210091. The next prime is 21121111210181. The reversal of 21121111210122 is 22101211112112.

It is a happy number.

21121111210122 is a `hidden beast` number, since 211 + 211 + 1 + 121 + 0 + 122 = 666.

It is a super-2 number, since 2×211211112101222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21121111210095 and 21121111210104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151748722 + ... + 151887842.

It is an arithmetic number, because the mean of its divisors is an integer number (594326679804).

Almost surely, 221121111210122 is an apocalyptic number.

21121111210122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21121111210122 is an abundant number, since it is smaller than the sum of its proper divisors (35934250051062).

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

21121111210122 is a wasteful number, since it uses less digits than its factorization.

21121111210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248684 (or 248681 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21121111210122 its reverse (22101211112112), we get a palindrome (43222322322234).

It can be divided in two parts, 2112111 and 1210122, that added together give a palindrome (3322233).

The spelling of 21121111210122 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred eleven million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 109537 139121 219074 278242 328611 417363 657222 766759 834726 973847 985833 1204907 1252089 1530331 1533518 1947694 1971666 2300277 2409814 2504178 2921541 3060662 3614721 4590993 4600554 5843082 6900831 7229442 8434349 8764623 9181986 10712317 10844163 13772979 13801662 16868698 17529246 21424634 21688326 25303047 27545958 32136951 50606094 64273902 75909141 96410853 151818282 192821706 15238896977 30477793954 45716690931 91433381862 106672278839 137150072793 167627866747 213344557678 274300145586 320016836517 335255733494 502883600241 640033673034 960050509551 1005767200482 1173395067229 1508650800723 1920101019102 2346790134458 3017301601446 3520185201687 7040370403374 10560555605061 21121111210122