Search a number
-
+
10432077023401 = 1119119332568697
BaseRepresentation
bin1001011111001110100000…
…1111101100100010101001
31100221022000101101020122221
42113303220033230202221
52331404343204222101
634104232515114041
72124456410424055
oct227635017544251
940838011336587
1010432077023401
113362245574910
1212059815a2921
135a8982263587
14280cb5524c65
1513156798eaa1
hex97ce83ec8a9

10432077023401 has 16 divisors (see below), whose sum is σ = 11445953891328. Its totient is φ = 9429169276800.

The previous prime is 10432077023393. The next prime is 10432077023437.

10432077023401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10432077023401 - 23 = 10432077023393 is a prime.

It is a super-3 number, since 3×104320770234013 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10432077023101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2776885 + ... + 5345581.

It is an arithmetic number, because the mean of its divisors is an integer number (715372118208).

Almost surely, 210432077023401 is an apocalyptic number.

10432077023401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10432077023401 is a deficient number, since it is larger than the sum of its proper divisors (1013876867927).

10432077023401 is a wasteful number, since it uses less digits than its factorization.

10432077023401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570832.

The product of its (nonzero) digits is 28224, while the sum is 34.

It can be divided in two parts, 1043207 and 7023401, that added together give a palindrome (8066608).

The spelling of 10432077023401 in words is "ten trillion, four hundred thirty-two billion, seventy-seven million, twenty-three thousand, four hundred one".

Divisors: 1 11 191 1933 2101 21263 369203 2568697 4061233 28255667 490621127 4965291301 5396832397 54618204311 948370638491 10432077023401