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21100010022 = 23271322756747
BaseRepresentation
bin10011101001101010…
…001001101000100110
32000110111101120022200
4103221222021220212
5321203100310042
613405422235330
71344610061130
oct235152115046
960414346280
1021100010022
118a48450913
12410a425b46
131cb3560040
141042428050
15837604c4c
hex4e9a89a26

21100010022 has 96 divisors (see below), whose sum is σ = 56515560192. Its totient is φ = 5540225472.

The previous prime is 21100009981. The next prime is 21100010027. The reversal of 21100010022 is 22001000112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21100009986 and 21100010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100010027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343453 + ... + 400199.

It is an arithmetic number, because the mean of its divisors is an integer number (588703752).

Almost surely, 221100010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28257780096).

21100010022 is an abundant number, since it is smaller than the sum of its proper divisors (35415550170).

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

21100010022 is a wasteful number, since it uses less digits than its factorization.

21100010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57002 (or 56999 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21100010022 its reverse (22001000112), we get a palindrome (43101010134).

The spelling of 21100010022 in words is "twenty-one billion, one hundred million, ten thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 227 234 273 454 546 681 819 1362 1589 1638 2043 2951 3178 4086 4767 5902 8853 9534 14301 17706 20657 26559 28602 41314 53118 56747 61971 113494 123942 170241 185913 340482 371826 397229 510723 737711 794458 1021446 1191687 1475422 2213133 2383374 3575061 4426266 5163977 6639399 7150122 10327954 12881569 13278798 15491931 25763138 30983862 38644707 46475793 77289414 90170983 92951586 115934121 167460397 180341966 231868242 270512949 334920794 502381191 541025898 811538847 1004762382 1172222779 1507143573 1623077694 2344445558 3014287146 3516668337 7033336674 10550005011 21100010022