Search a number
-
+
1032344400031 = 75315118427811
BaseRepresentation
bin11110000010111001000…
…01010111000010011111
310122200122212010012002221
433001130201113002133
5113403220131300111
62110130311130211
7134404312421260
oct17013441270237
93580585105087
101032344400031
113688a655640a
121480aa073967
1376471280299
1437d73d9a967
151bcc10d2371
hexf05c85709f

1032344400031 has 16 divisors (see below), whose sum is σ = 1210043847168. Its totient is φ = 862421508000.

The previous prime is 1032344400019. The next prime is 1032344400041. The reversal of 1032344400031 is 1300044432301.

1032344400031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1032344400031 - 27 = 1032344399903 is a prime.

It is a super-2 number, since 2×10323444000312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1032344399969 and 1032344400005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032344400041) 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, 9157885 + ... + 9269926.

It is an arithmetic number, because the mean of its divisors is an integer number (75627740448).

Almost surely, 21032344400031 is an apocalyptic number.

1032344400031 is a deficient number, since it is larger than the sum of its proper divisors (177699447137).

1032344400031 is a wasteful number, since it uses less digits than its factorization.

1032344400031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18428022.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1032344400031 its reverse (1300044432301), we get a palindrome (2332388832332).

The spelling of 1032344400031 in words is "one trillion, thirty-two billion, three hundred forty-four million, four hundred thousand, thirty-one".

Divisors: 1 7 53 151 371 1057 8003 56021 18427811 128994677 976673983 2782599461 6836717881 19478196227 147477771433 1032344400031