Search a number
-
+
10432233223401 = 3111282924641693
BaseRepresentation
bin1001011111001111000110…
…0011100011010011101001
31100221022102021022000210010
42113303301203203103221
52331410203201122101
634104300215042133
72124463315205463
oct227636143432351
940838367260703
1010432233223401
113362315761220
121205a05970349
135a89a8723502
14280ccc185133
151315765462d6
hex97cf18e34e9

10432233223401 has 16 divisors (see below), whose sum is σ = 15175340832960. Its totient is φ = 6322072499520.

The previous prime is 10432233223333. The next prime is 10432233223411.

It is a happy number.

10432233223401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10432233223401 - 27 = 10432233223273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10432233223411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11897490 + ... + 12744203.

It is an arithmetic number, because the mean of its divisors is an integer number (948458802060).

Almost surely, 210432233223401 is an apocalyptic number.

10432233223401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10432233223401 is a deficient number, since it is larger than the sum of its proper divisors (4743107609559).

10432233223401 is a wasteful number, since it uses less digits than its factorization.

10432233223401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24654536.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 1043223 and 3223401, that added together give a palindrome (4266624).

The spelling of 10432233223401 in words is "ten trillion, four hundred thirty-two billion, two hundred thirty-three million, two hundred twenty-three thousand, four hundred one".

Divisors: 1 3 11 33 12829 38487 141119 423357 24641693 73925079 271058623 813175869 316128279497 948384838491 3477411074467 10432233223401