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13100032424401 = 134154101454297
BaseRepresentation
bin1011111010100001011011…
…0001110111100111010001
31201101100110210011012102221
42332220112301313213101
53204112331300040101
643510023302341041
72521306005233566
oct276502661674721
951340423135387
1013100032424401
1141a076887181a
121576a5a42a781
1374043510b4a0
1433408b4c686d
1517ab66678aa1
hexbea16c779d1

13100032424401 has 16 divisors (see below), whose sum is σ = 14452117072848. Its totient is φ = 11797158528000.

The previous prime is 13100032424371. The next prime is 13100032424429. The reversal of 13100032424401 is 10442423000131.

It can be written as a sum of positive squares in 8 ways, for example, as 3364234614225 + 9735797810176 = 1834185^2 + 3120224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13100032424401 is a prime.

It is a super-2 number, since 2×131000324244012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13100032424471) 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, 28608685 + ... + 29062981.

It is an arithmetic number, because the mean of its divisors is an integer number (903257317053).

Almost surely, 213100032424401 is an apocalyptic number.

It is an amenable number.

13100032424401 is a deficient number, since it is larger than the sum of its proper divisors (1352084648447).

13100032424401 is a wasteful number, since it uses less digits than its factorization.

13100032424401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508452.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13100032424401 its reverse (10442423000131), we get a palindrome (23542455424532).

The spelling of 13100032424401 in words is "thirteen trillion, one hundred billion, thirty-two million, four hundred twenty-four thousand, four hundred one".

Divisors: 1 13 41 533 54101 454297 703313 2218141 5905861 18626177 28835833 242140301 24577921997 319512985961 1007694801877 13100032424401