Search a number
-
+
102524435342241 = 31129421925392527
BaseRepresentation
bin10111010011111011010100…
…100011001010001110100001
3111110000020111011210002110220
4113103323110203022032201
5101414230020421422431
61002015024141113253
730411101040410553
oct2723732443121641
9443006434702426
10102524435342241
112a738406a42780
12b5b9b09b58829
13452902208b473
141b462cdc854d3
15bcbd68716b96
hex5d3ed48ca3a1

102524435342241 has 32 divisors (see below), whose sum is σ = 154305314150400. Its totient is φ = 59979177814080.

The previous prime is 102524435342239. The next prime is 102524435342267. The reversal of 102524435342241 is 142243534425201.

102524435342241 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102524435342241 - 21 = 102524435342239 is a prime.

It is a super-2 number, since 2×1025244353422412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102524435342193 and 102524435342202.

It is not an unprimeable number, because it can be changed into a prime (102524435342941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8658681 + ... + 16733846.

It is an arithmetic number, because the mean of its divisors is an integer number (4822041067200).

Almost surely, 2102524435342241 is an apocalyptic number.

102524435342241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102524435342241 is a deficient number, since it is larger than the sum of its proper divisors (51780878808159).

102524435342241 is a wasteful number, since it uses less digits than its factorization.

102524435342241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25396789.

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 102524435342241 its reverse (142243534425201), we get a palindrome (244767969767442).

The spelling of 102524435342241 in words is "one hundred two trillion, five hundred twenty-four billion, four hundred thirty-five million, three hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 11 29 33 87 319 957 4219 12657 46409 122351 139227 367053 1345861 4037583 25392527 76177581 279317797 736383283 837953391 2209149849 8100216113 24300648339 107131071413 321393214239 1178441785543 3106801070977 3535325356629 9320403212931 34174811780747 102524435342241