Search a number
-
+
21122002201122 = 23210011071172147
BaseRepresentation
bin1001100110101110110010…
…11100000010101000100010
32202210020120122112220020100
410303113121130002220202
510232030330030413442
6112531151443123230
74310004622253244
oct463273134025042
982706518486210
1021122002201122
116803877658419
122451703973516
13ba2a47501b14
1453044b8ba094
1526967224c84c
hex1335d9702a22

21122002201122 has 24 divisors (see below), whose sum is σ = 45764422859376. Its totient is φ = 7040654360856.

The previous prime is 21122002201117. The next prime is 21122002201141. The reversal of 21122002201122 is 22110220022112.

It is a happy number.

21122002201122 is a `hidden beast` number, since 211 + 2 + 200 + 220 + 11 + 22 = 666.

It is a super-2 number, since 2×211220022011222 (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 = 21122002201095 and 21122002201104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17433853 + ... + 18605999.

It is an arithmetic number, because the mean of its divisors is an integer number (1906850952474).

Almost surely, 221122002201122 is an apocalyptic number.

21122002201122 is an abundant number, since it is smaller than the sum of its proper divisors (24642420658254).

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

21122002201122 is a wasteful number, since it uses less digits than its factorization.

21122002201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173262 (or 2173259 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21122002201122 its reverse (22110220022112), we get a palindrome (43232222223234).

The spelling of 21122002201122 in words is "twenty-one trillion, one hundred twenty-two billion, two million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1001107 1172147 2002214 2344294 3003321 3516441 6006642 7032882 9009963 10549323 18019926 21098646 1173444566729 2346889133458 3520333700187 7040667400374 10561001100561 21122002201122