Search a number
-
+
102201111001021 = 193110710918238161
BaseRepresentation
bin10111001111001110001100…
…111010101011011110111101
3111101212022221010222202122011
4113033032030322223132331
5101343430333404013041
61001210313042251221
730345533543016334
oct2717161472533675
9441768833882564
10102201111001021
112a62327a86771a
12b567315356b11
1345046a5c2c526
141b347bb146d1b
15bc374352be81
hex5cf38ceab7bd

102201111001021 has 64 divisors (see below), whose sum is σ = 113192548761600. Its totient is φ = 91909819238400.

The previous prime is 102201111001019. The next prime is 102201111001061. The reversal of 102201111001021 is 120100111102201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102201111001021 - 21 = 102201111001019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102201111000992 and 102201111001010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201111001061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12523107181 + ... + 12523115341.

It is an arithmetic number, because the mean of its divisors is an integer number (1768633574400).

Almost surely, 2102201111001021 is an apocalyptic number.

It is an amenable number.

102201111001021 is a deficient number, since it is larger than the sum of its proper divisors (10991437760579).

102201111001021 is a wasteful number, since it uses less digits than its factorization.

102201111001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102201111001021 its reverse (120100111102201), we get a palindrome (222301222103222).

The spelling of 102201111001021 in words is "one hundred two trillion, two hundred one billion, one hundred eleven million, one thousand, twenty-one".

Divisors: 1 19 31 107 109 589 1823 2033 2071 3317 3379 8161 11663 34637 56513 63023 64201 155059 195061 198707 221597 252991 361553 873227 889549 1073747 3706159 3775433 4806829 6046891 6159917 6869507 14877503 16591313 16901431 21261649 27070037 27576019 95181743 114890929 117038423 282672557 403971331 461202593 514330703 523944361 659111119 1591892821 1621647827 1808453117 2950634033 8762849267 12523111261 30245963599 30811308713 49348677451 50271082637 56062046627 173516317489 937624871569 955150570103 3296810032291 5379005842159 102201111001021