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21122022210 = 2357311638293
BaseRepresentation
bin10011101010111110…
…000111101101000010
32000112000210220100220
4103222332013231002
5321224214202320
613411530123510
71345265140452
oct235276075502
960460726326
1021122022210
118a59915a03
124115880596
131cb7c992c3
141045317d62
15839501e40
hex4eaf87b42

21122022210 has 64 divisors (see below), whose sum is σ = 51437662848. Its totient is φ = 5549935104.

The previous prime is 21122022191. The next prime is 21122022223. The reversal of 21122022210 is 1222022112.

It is a super-2 number, since 2×211220222102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21122022210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2542824 + ... + 2551116.

It is an arithmetic number, because the mean of its divisors is an integer number (803713482).

Almost surely, 221122022210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25718831424).

21122022210 is an abundant number, since it is smaller than the sum of its proper divisors (30315640638).

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

21122022210 is a wasteful number, since it uses less digits than its factorization.

21122022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9539.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21122022210 its reverse (1222022112), we get a palindrome (22344044322).

The spelling of 21122022210 in words is "twenty-one billion, one hundred twenty-two million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 1163 2190 2326 3489 5815 6978 8293 11630 16586 17445 24879 34890 41465 49758 82930 84899 124395 169798 248790 254697 424495 509394 605389 848990 1210778 1273485 1816167 2546970 3026945 3632334 6053890 9080835 9644759 18161670 19289518 28934277 48223795 57868554 96447590 144671385 289342770 704067407 1408134814 2112202221 3520337035 4224404442 7040674070 10561011105 21122022210