Search a number
-
+
10222321200102 = 23211118743494427
BaseRepresentation
bin1001010011000001000111…
…0100101110101111100110
31100012020121010210101111200
42110300101310232233212
52314440303211400402
633424023003543330
72103352435354404
oct224602164565746
940166533711450
1010222321200102
113291297905230
1211911a282ab46
13591c64a0abbb
14274a978c2474
1512ad8cce121c
hex94c11d2ebe6

10222321200102 has 48 divisors (see below), whose sum is σ = 24182206057152. Its totient is φ = 3095063354160.

The previous prime is 10222321200059. The next prime is 10222321200127. The reversal of 10222321200102 is 20100212322201.

10222321200102 is a `hidden beast` number, since 1 + 0 + 222 + 321 + 20 + 0 + 102 = 666.

10222321200102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 21512188 + ... + 21982239.

It is an arithmetic number, because the mean of its divisors is an integer number (503795959524).

Almost surely, 210222321200102 is an apocalyptic number.

10222321200102 is an abundant number, since it is smaller than the sum of its proper divisors (13959884857050).

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

10222321200102 is a wasteful number, since it uses less digits than its factorization.

10222321200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43495633 (or 43495630 counting only the distinct ones).

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

Adding to 10222321200102 its reverse (20100212322201), we get a palindrome (30322533522303).

The spelling of 10222321200102 in words is "ten trillion, two hundred twenty-two billion, three hundred twenty-one million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1187 2374 3561 7122 10683 13057 21366 26114 39171 78342 117513 235026 43494427 86988854 130483281 260966562 391449843 478438697 782899686 956877394 1435316091 2870632182 4305948273 8611896546 51627884849 103255769698 154883654547 309767309094 464650963641 567906733339 929301927282 1135813466678 1703720200017 3407440400034 5111160600051 10222321200102