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101304412325 = 5219415201767
BaseRepresentation
bin101111001011000110…
…1101010100010100101
3100200111002010100120022
41132112031222202211
53124432412143300
6114312201044525
710214263203614
oct1362615524245
9320432110508
10101304412325
1139a65777416
1217772786745
139725b30b5c
144c903ad87b
15297d9ec285
hex179636a8a5

101304412325 has 24 divisors (see below), whose sum is σ = 135454038720. Its totient is φ = 74905430400.

The previous prime is 101304412289. The next prime is 101304412327. The reversal of 101304412325 is 523214403101.

It is a happy number.

It is not a de Polignac number, because 101304412325 - 210 = 101304411301 is a prime.

It is a super-2 number, since 2×1013044123252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101304412294 and 101304412303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101304412327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581409 + ... + 2620358.

It is an arithmetic number, because the mean of its divisors is an integer number (5643918280).

Almost surely, 2101304412325 is an apocalyptic number.

It is an amenable number.

101304412325 is a deficient number, since it is larger than the sum of its proper divisors (34149626395).

101304412325 is a wasteful number, since it uses less digits than its factorization.

101304412325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201837 (or 5201832 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 101304412325 its reverse (523214403101), we get a palindrome (624518815426).

The spelling of 101304412325 in words is "one hundred one billion, three hundred four million, four hundred twelve thousand, three hundred twenty-five".

Divisors: 1 5 19 25 41 95 205 475 779 1025 3895 19475 5201767 26008835 98833573 130044175 213272447 494167865 1066362235 2470839325 4052176493 5331811175 20260882465 101304412325