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21011112122 = 271113231992293
BaseRepresentation
bin10011100100010111…
…000010000010111010
32000020022010002022212
4103210113002002322
5321012321041442
613352525015122
71342450335440
oct234427020272
960208102285
1021011112122
118a02252580
1240a46b44a2
131c9b005930
1410346c6b90
1582e8e4a82
hex4e45c20ba

21011112122 has 128 divisors (see below), whose sum is σ = 44397158400. Its totient is φ = 7188445440.

The previous prime is 21011112097. The next prime is 21011112131. The reversal of 21011112122 is 22121111012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21011112097 and 21011112106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9162008 + ... + 9164300.

It is an arithmetic number, because the mean of its divisors is an integer number (346852800).

Almost surely, 221011112122 is an apocalyptic number.

21011112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21011112122 is an abundant number, since it is smaller than the sum of its proper divisors (23386046278).

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

21011112122 is a wasteful number, since it uses less digits than its factorization.

21011112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21011112122 its reverse (22121111012), we get a palindrome (43132223134).

The spelling of 21011112122 in words is "twenty-one billion, eleven million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 23 26 46 77 91 143 154 161 182 199 253 286 299 322 398 506 598 1001 1393 1771 2002 2093 2189 2293 2587 2786 3289 3542 4186 4378 4577 4586 5174 6578 9154 15323 16051 18109 23023 25223 28457 29809 30646 32039 32102 36218 46046 50347 50446 52739 56914 59501 59618 64078 100694 105478 119002 176561 199199 208663 327899 352429 353122 369173 398398 416507 417326 456307 580129 654511 655798 685607 704858 738346 833014 912614 1160258 1309022 1371214 2295293 3194149 4060903 4581577 4590586 4799249 5019377 5931991 6388298 7541677 8121806 9163154 9598498 10038754 10495061 11863982 15083354 20990122 35135639 41523937 52791739 65251901 70271278 73465427 83047874 105583478 115445671 130503802 136435793 146930854 230891342 272871586 456763307 808119697 913526614 955050551 1500793723 1616239394 1910101102 3001587446 10505556061 21011112122