Search a number
-
+
102012222001122 = 2342682123478061
BaseRepresentation
bin10111001100011110010010…
…010000010100111111100010
3111101012021101011000100220000
4113030132102100110333202
5101332332012313013442
61000543433503400430
730326065650013536
oct2714362220247742
9441167334010800
10102012222001122
112a56015a959334
12b53679a8b3116
1344bc932830334
141b295bc98bbc6
15bbd88a770d4c
hex5cc792414fe2

102012222001122 has 40 divisors (see below), whose sum is σ = 228591474163932. Its totient is φ = 34002804736800.

The previous prime is 102012222001069. The next prime is 102012222001139. The reversal of 102012222001122 is 221100222210201.

It is a happy number.

102012222001122 is a `hidden beast` number, since 10 + 201 + 222 + 200 + 11 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99430194017961 + 2582027983161 = 9971469^2 + 1606869^2 .

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 = 102012222001095 and 102012222001104.

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 19 ways as a sum of consecutive naturals, for example, 7394029 + ... + 16084032.

Almost surely, 2102012222001122 is an apocalyptic number.

102012222001122 is an abundant number, since it is smaller than the sum of its proper divisors (126579252162810).

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

102012222001122 is a wasteful number, since it uses less digits than its factorization.

102012222001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23504896 (or 23504887 counting only the distinct ones).

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

Adding to 102012222001122 its reverse (221100222210201), we get a palindrome (323112444211323).

The spelling of 102012222001122 in words is "one hundred two trillion, twelve billion, two hundred twenty-two million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 26821 53642 80463 160926 241389 482778 724167 1448334 2172501 4345002 23478061 46956122 70434183 140868366 211302549 422605098 633907647 1267815294 1901722941 3803445882 629705074081 1259410148162 1889115222243 3778230444486 5667345666729 11334691333458 17002037000187 34004074000374 51006111000561 102012222001122