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21211320222 = 23223311164743
BaseRepresentation
bin10011110000010010…
…110000111110011110
32000202020211201012200
4103300102300332132
5321420044221342
613424440112330
71350431150511
oct236022607636
960666751180
1021211320222
118aa5267914
12413b7656a6
132000633871
141053120d78
1584229094c
hex4f04b0f9e

21211320222 has 48 divisors (see below), whose sum is σ = 48110519808. Its totient is φ = 6741242640.

The previous prime is 21211320203. The next prime is 21211320227. The reversal of 21211320222 is 22202311212.

21211320222 is a `hidden beast` number, since 2 + 121 + 1 + 320 + 222 = 666.

It is a super-2 number, since 2×212113202222 (a number of 21 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 = 21211320195 and 21211320204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211320227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46383 + ... + 211125.

It is an arithmetic number, because the mean of its divisors is an integer number (1002302496).

Almost surely, 221211320222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211320222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24055259904).

21211320222 is an abundant number, since it is smaller than the sum of its proper divisors (26899199586).

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

21211320222 is a wasteful number, since it uses less digits than its factorization.

21211320222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165085 (or 165082 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21211320222 its reverse (22202311212), we get a palindrome (43413631434).

The spelling of 21211320222 in words is "twenty-one billion, two hundred eleven million, three hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 311 414 622 933 1866 2799 5598 7153 14306 21459 42918 64377 128754 164743 329486 494229 988458 1482687 2965374 3789089 7578178 11367267 22734534 34101801 51235073 68203602 102470146 153705219 307410438 461115657 922231314 1178406679 2356813358 3535220037 7070440074 10605660111 21211320222