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21221020221102 = 232131074397192757
BaseRepresentation
bin1001101001100111001110…
…10111110011111010101110
32210010201011101102111010200
410310303213113303322232
510240141122134033402
6113044445131014330
74320111443452242
oct464634727637256
983121141374120
1021221020221102
116841869758389
12246893889a3a6
13bac1977434a0
14535162360422
1526c01a16521c
hex134ce75f3eae

21221020221102 has 96 divisors (see below), whose sum is σ = 49990103366112. Its totient is φ = 6467016229632.

The previous prime is 21221020221083. The next prime is 21221020221127. The reversal of 21221020221102 is 20112202012212.

It is a happy number.

21221020221102 is a `hidden beast` number, since 212 + 210 + 20 + 221 + 1 + 0 + 2 = 666.

It is a super-3 number, since 3×212210202211023 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109995708 + ... + 110188464.

It is an arithmetic number, because the mean of its divisors is an integer number (520730243397).

Almost surely, 221221020221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221020221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24995051683056).

21221020221102 is an abundant number, since it is smaller than the sum of its proper divisors (28769083145010).

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

21221020221102 is a wasteful number, since it uses less digits than its factorization.

21221020221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197282 (or 197279 counting only the distinct ones).

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

Adding to 21221020221102 its reverse (20112202012212), we get a palindrome (41333222233314).

The spelling of 21221020221102 in words is "twenty-one trillion, two hundred twenty-one billion, twenty million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 963 1391 1926 2782 4173 4397 8346 8794 12519 13191 25038 26382 39573 57161 79146 114322 171483 192757 342966 385514 470479 514449 578271 940958 1028898 1156542 1411437 1734813 2505841 2822874 3469626 4234311 5011682 6116227 7517523 8468622 12232454 15035046 18348681 20624999 22552569 36697362 41249998 45105138 55046043 61874997 110092086 123749994 185624991 268124987 371249982 536249974 804374961 847552529 1608749922 1695105058 2413124883 2542657587 4826249766 5085315174 7627972761 11018182877 15255945522 22036365754 33054548631 66109097262 90688120603 99163645893 181376241206 198327291786 272064361809 544128723618 816193085427 1178945567839 1632386170854 2357891135678 3536836703517 7073673407034 10610510110551 21221020221102