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21022101121122 = 23228140110364609
BaseRepresentation
bin1001100011110100101101…
…10111101010100001100010
32202102200201101001012201100
410301322112313222201202
510223411230341333442
6112413230412215230
74266540156141243
oct461722667524142
982380641035640
1021022101121122
116775472046392
12243628316a516
13b964b634842a
14529691a48cca
15266c76a5284c
hex131e96dea862

21022101121122 has 48 divisors (see below), whose sum is σ = 45823972273560. Its totient is φ = 6965016576000.

The previous prime is 21022101121103. The next prime is 21022101121127. The reversal of 21022101121122 is 22112110122012.

21022101121122 is a `hidden beast` number, since 210 + 2 + 210 + 1 + 121 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18908069452281 + 2114031668841 = 4348341^2 + 1453971^2 .

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 = 21022101121095 and 21022101121104.

It is not an unprimeable number, because it can be changed into a prime (21022101121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3154047 + ... + 7210562.

Almost surely, 221022101121122 is an apocalyptic number.

21022101121122 is an abundant number, since it is smaller than the sum of its proper divisors (24801871152438).

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

21022101121122 is a wasteful number, since it uses less digits than its factorization.

21022101121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10365299 (or 10365296 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21022101121122 its reverse (22112110122012), we get a palindrome (43134211243134).

The spelling of 21022101121122 in words is "twenty-one trillion, twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 281 401 562 802 843 1203 1686 2406 2529 3609 5058 7218 112681 225362 338043 676086 1014129 2028258 10364609 20729218 31093827 62187654 93281481 186562962 2912455129 4156208209 5824910258 8312416418 8737365387 12468624627 17474730774 24937249254 26212096161 37405873881 52424192322 74811747762 1167894506729 2335789013458 3503683520187 7007367040374 10511050560561 21022101121122