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21221102010222 = 23283115119136451
BaseRepresentation
bin1001101001100111011000…
…01111110011111101101110
32210010201101002022210201100
410310303230033303331232
510240141304103311342
6113044501212023530
74320113455606422
oct464635417637556
983121332283640
1021221102010222
1168419009407a4
122468960161ba6
13bac1ab67c00a
1453516d170b82
1526c02241de4c
hex134cec3f3f6e

21221102010222 has 96 divisors (see below), whose sum is σ = 46605016313856. Its totient is φ = 6977671920000.

The previous prime is 21221102010221. The next prime is 21221102010239. The reversal of 21221102010222 is 22201020112212.

It is a happy number.

21221102010222 is a `hidden beast` number, since 21 + 221 + 1 + 0 + 201 + 0 + 222 = 666.

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 = 21221102010195 and 21221102010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221102010221) 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, 3289580097 + ... + 3289586547.

It is an arithmetic number, because the mean of its divisors is an integer number (485468919936).

Almost surely, 221221102010222 is an apocalyptic number.

21221102010222 is an abundant number, since it is smaller than the sum of its proper divisors (25383914303634).

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

21221102010222 is a wasteful number, since it uses less digits than its factorization.

21221102010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9606 (or 9603 counting only the distinct ones).

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

Adding to 21221102010222 its reverse (22201020112212), we get a palindrome (43422122122434).

The spelling of 21221102010222 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred two million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 83 166 249 498 747 1151 1494 1913 2302 3453 3826 5739 6451 6906 10359 11478 12902 17217 19353 20718 34434 38706 58059 95533 116118 158779 191066 286599 317558 476337 535433 573198 859797 952674 1070866 1429011 1606299 1719594 2201863 2858022 3212598 4403726 4818897 6605589 7425101 9637794 12340763 13211178 14850202 19816767 22275303 24681526 37022289 39633534 44550606 66825909 74044578 111066867 133651818 182754629 222133734 365509258 548263887 616283383 1024283329 1096527774 1232566766 1644791661 1848850149 2048566658 3072849987 3289583322 3697700298 5546550447 6145699974 9218549961 11093100894 14204218213 18437099922 28408436426 42612654639 85225309278 127837963917 255675927834 1178950111679 2357900223358 3536850335037 7073700670074 10610551005111 21221102010222