Search a number
-
+
102022202210020 = 22512067134227277
BaseRepresentation
bin10111001100100111100101…
…000111110011011011100100
3111101020020010200112111201121
4113030213211013303123210
5101333012432231210040
61000552204102103324
730326601164256511
oct2714474507633344
9441206120474647
10102022202210020
112a564411485a64
12b53870511ab44
1344c08633ab4a1
141b29c8823c308
15bbdc71a1ec4a
hex5cc9e51f36e4

102022202210020 has 24 divisors (see below), whose sum is σ = 214246852868664. Its totient is φ = 40808837412096.

The previous prime is 102022202209957. The next prime is 102022202210051. The reversal of 102022202210020 is 20012202220201.

It can be written as a sum of positive squares in 4 ways, for example, as 9065145462244 + 92957056747776 = 3010838^2 + 9641424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102022202209976 and 102022202210003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22020622 + ... + 26247898.

It is an arithmetic number, because the mean of its divisors is an integer number (8926952202861).

Almost surely, 2102022202210020 is an apocalyptic number.

102022202210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022202210020 is an abundant number, since it is smaller than the sum of its proper divisors (112224650658644).

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

102022202210020 is a wasteful number, since it uses less digits than its factorization.

102022202210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433999 (or 5433997 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102022202210020 its reverse (20012202220201), we get a palindrome (122034404430221).

The spelling of 102022202210020 in words is "one hundred two trillion, twenty-two billion, two hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 1206713 2413426 4227277 4826852 6033565 8454554 12067130 16909108 21136385 24134260 42272770 84545540 5101110110501 10202220221002 20404440442004 25505550552505 51011101105010 102022202210020