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21202101220122 = 2323776141833097
BaseRepresentation
bin1001101001000011111111…
…01101100011001100011010
32210001220022212222122202200
410310201333231203030122
510234333400403020442
6113032035535111030
74315541555553054
oct464417755431432
983056285878680
1021202101220122
116834840445989
122465138972476
13baa470cc5a54
1453428986c8d4
1526b7ae27a34c
hex13487fb6331a

21202101220122 has 48 divisors (see below), whose sum is σ = 47241448241832. Its totient is φ = 6867321039360.

The previous prime is 21202101220061. The next prime is 21202101220211. The reversal of 21202101220122 is 22102210120212.

It is a happy number.

21202101220122 is a `hidden beast` number, since 21 + 202 + 101 + 220 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15158867246721 + 6043233973401 = 3893439^2 + 2458299^2 .

It is a super-2 number, since 2×212021012201222 (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 = 21202101220095 and 21202101220104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20409723 + ... + 21423374.

Almost surely, 221202101220122 is an apocalyptic number.

21202101220122 is an abundant number, since it is smaller than the sum of its proper divisors (26039347021710).

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

21202101220122 is a wasteful number, since it uses less digits than its factorization.

21202101220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41833903 (or 41833900 counting only the distinct ones).

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

Adding to 21202101220122 its reverse (22102210120212), we get a palindrome (43304311340334).

The spelling of 21202101220122 in words is "twenty-one trillion, two hundred two billion, one hundred one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 761 1522 2283 4566 6849 13698 28157 56314 84471 168942 253413 506826 41833097 83666194 125499291 250998582 376497873 752995746 1547824589 3095649178 4643473767 9286947534 13930421301 27860842602 31834986817 63669973634 95504960451 191009920902 286514881353 573029762706 1177894512229 2355789024458 3533683536687 7067367073374 10601050610061 21202101220122