Search a number
-
+
2102220122022 = 2321131770758369
BaseRepresentation
bin11110100101110110000…
…101010110011110100110
321102222012100001002002100
4132211312011112132212
5233420321322401042
64245425132552530
7304610655130356
oct36456605263646
97388170032070
102102220122022
117406014aa479
1229b511322746
13123313ccc287
1473a68708b66
1539a3c0ab24c
hex1e9761567a6

2102220122022 has 48 divisors (see below), whose sum is σ = 4595456558160. Its totient is φ = 694487678976.

The previous prime is 2102220122003. The next prime is 2102220122039. The reversal of 2102220122022 is 2202210222012.

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 = 2102220121986 and 2102220122004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35986854 + ... + 36045222.

It is an arithmetic number, because the mean of its divisors is an integer number (95738678295).

Almost surely, 22102220122022 is an apocalyptic number.

2102220122022 is an abundant number, since it is smaller than the sum of its proper divisors (2493236436138).

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

2102220122022 is a wasteful number, since it uses less digits than its factorization.

2102220122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76197 (or 76194 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2102220122022 its reverse (2202210222012), we get a palindrome (4304430344034).

The spelling of 2102220122022 in words is "two trillion, one hundred two billion, two hundred twenty million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 17707 35414 53121 58369 106242 116738 159363 175107 318726 350214 525321 1050642 2000891 4001782 6002673 6595697 12005346 13191394 18008019 19787091 36016038 39574182 59361273 118722546 1033539883 2067079766 3100619649 6201239298 9301858947 18603717894 116790006779 233580013558 350370020337 700740040674 1051110061011 2102220122022