Search a number
-
+
100433412303201 = 3273409373757177
BaseRepresentation
bin10110110101011111111001…
…110111010010100101100001
3111011121100012012000202122200
4112311133321313102211201
5101131000112022200301
6553334250032323413
730104034404011035
oct2665377167224541
9434540165022580
10100433412303201
112a001630a5149a
12b3208026a3569
134406aa3a8c1a3
141ab30086b01c5
15b92784679c86
hex5b57f9dd2961

100433412303201 has 24 divisors (see below), whose sum is σ = 147417306146760. Its totient is φ = 65876944813056.

The previous prime is 100433412303199. The next prime is 100433412303209. The reversal of 100433412303201 is 102303214334001.

It is a happy number.

100433412303201 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 334 + 1 + 2 + 3 + 0 + 320 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16689390120225 + 83744022182976 = 4085265^2 + 9151176^2 .

It is not a de Polignac number, because 100433412303201 - 21 = 100433412303199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100433412303209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186609876 + ... + 187147301.

It is an arithmetic number, because the mean of its divisors is an integer number (6142387756115).

Almost surely, 2100433412303201 is an apocalyptic number.

It is an amenable number.

100433412303201 is a deficient number, since it is larger than the sum of its proper divisors (46983893843559).

100433412303201 is a wasteful number, since it uses less digits than its factorization.

100433412303201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373757665 (or 373757662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 100433412303201 its reverse (102303214334001), we get a palindrome (202736626637202).

The spelling of 100433412303201 in words is "one hundred trillion, four hundred thirty-three billion, four hundred twelve million, three hundred three thousand, two hundred one".

Divisors: 1 3 9 73 219 409 657 1227 3681 29857 89571 268713 373757177 1121271531 3363814593 27284273921 81852821763 152866685393 245558465289 458600056179 1375800168537 11159268033689 33477804101067 100433412303201