Search a number
-
+
110102201132022 = 23311303299611137
BaseRepresentation
bin11001000010001100101010…
…100101100110001111110110
3112102211200000201000012212000
4121002030222211212033312
5103412403301442211042
61030100130344440130
732122423120020561
oct3102145245461766
9472750021005760
10110102201132022
113209a0991a9370
1210422664479046
134958792b1a888
141d28d914554d8
15cae026cde74c
hex64232a9663f6

110102201132022 has 64 divisors (see below), whose sum is σ = 266915743776000. Its totient is φ = 33364138775040.

The previous prime is 110102201132009. The next prime is 110102201132023. The reversal of 110102201132022 is 220231102201011.

110102201132022 is a `hidden beast` number, since 1 + 101 + 0 + 220 + 1 + 1 + 320 + 22 = 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 = 110102201131986 and 110102201132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110102201132023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179854038 + ... + 180465174.

It is an arithmetic number, because the mean of its divisors is an integer number (4170558496500).

Almost surely, 2110102201132022 is an apocalyptic number.

110102201132022 is an abundant number, since it is smaller than the sum of its proper divisors (156813542643978).

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

110102201132022 is a wasteful number, since it uses less digits than its factorization.

110102201132022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914458 (or 914452 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110102201132022 its reverse (220231102201011), we get a palindrome (330333303333033).

The spelling of 110102201132022 in words is "one hundred ten trillion, one hundred two billion, two hundred one million, one hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 303299 606598 611137 909897 1222274 1819794 1833411 2729691 3336289 3666822 5459382 5500233 6672578 6722507 8189073 10008867 11000466 13445014 16378146 16500699 20017734 20167521 30026601 33001398 40335042 60053202 60502563 90079803 121005126 180159606 181507689 363015378 185357240963 370714481926 556071722889 1112143445778 1668215168667 2038929650593 3336430337334 4077859301186 5004645506001 6116788951779 10009291012002 12233577903558 18350366855337 36700733710674 55051100566011 110102201132022