Search a number
-
+
102220100232 = 23323185181341
BaseRepresentation
bin101111100110011001…
…0101111001010001000
3100202211220011010020020
41133030302233022020
53133321321201412
6114543111300440
710246052341635
oct1371462571210
9322756133206
10102220100232
113a395644288
121798937a720
13984075b013
144d39c5118c
1529d40c718c
hex17cccaf288

102220100232 has 32 divisors (see below), whose sum is σ = 266661132480. Its totient is φ = 32591915840.

The previous prime is 102220100141. The next prime is 102220100239. The reversal of 102220100232 is 232001022201.

It is a happy number.

102220100232 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102220100239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92590119 + ... + 92591222.

It is an arithmetic number, because the mean of its divisors is an integer number (8333160390).

Almost surely, 2102220100232 is an apocalyptic number.

102220100232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102220100232 is an abundant number, since it is smaller than the sum of its proper divisors (164441032248).

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

102220100232 is a wasteful number, since it uses less digits than its factorization.

102220100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185181373 (or 185181369 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102220100232 its reverse (232001022201), we get a palindrome (334221122433).

The spelling of 102220100232 in words is "one hundred two billion, two hundred twenty million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 185181341 370362682 555544023 740725364 1111088046 1481450728 2222176092 4259170843 4444352184 8518341686 12777512529 17036683372 25555025058 34073366744 51110050116 102220100232