Search a number
-
+
10423422432401 = 1110113171618461
BaseRepresentation
bin1001011110101110010001…
…1001000011010010010001
31100220110200020020110201112
42113223210121003102101
52331234132120314101
634100242033143105
72124032060546246
oct227534431032221
940813606213645
1010423422432401
113359604252570
1212041670baa95
135a7c0321c904
142806d3d435cd
1513120cc916bb
hex97ae4643491

10423422432401 has 16 divisors (see below), whose sum is σ = 11571251668416. Its totient is φ = 9310399800000.

The previous prime is 10423422432389. The next prime is 10423422432473.

It is a happy number.

10423422432401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10423422432401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10423422432481) 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, 35663690 + ... + 35954771.

It is an arithmetic number, because the mean of its divisors is an integer number (723203229276).

Almost surely, 210423422432401 is an apocalyptic number.

10423422432401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10423422432401 is a deficient number, since it is larger than the sum of its proper divisors (1147829236015).

10423422432401 is a wasteful number, since it uses less digits than its factorization.

10423422432401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71618704.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 1042342 and 2432401, that added together give a palindrome (3474743).

The spelling of 10423422432401 in words is "ten trillion, four hundred twenty-three billion, four hundred twenty-two million, four hundred thirty-two thousand, four hundred one".

Divisors: 1 11 101 131 1111 1441 13231 145541 71618461 787803071 7233464561 9382018391 79568110171 103202202301 947583857491 10423422432401