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101361026405 = 51031491320923
BaseRepresentation
bin101111001100110010…
…1101000010101100101
3100200122000122122111002
41132121211220111211
53130041410321110
6114321542323045
710215551336342
oct1363145502545
9320560578432
10101361026405
1139a94725411
1217789729485
139734793902
144c97b097c9
152983981aa5
hex1799968565

101361026405 has 16 divisors (see below), whose sum is σ = 123638486400. Its totient is φ = 79762554048.

The previous prime is 101361026387. The next prime is 101361026411. The reversal of 101361026405 is 504620163101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101361026405 - 26 = 101361026341 is a prime.

It is a super-4 number, since 4×1013610264054 (a number of 45 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 583727 + ... + 737196.

It is an arithmetic number, because the mean of its divisors is an integer number (7727405400).

Almost surely, 2101361026405 is an apocalyptic number.

It is an amenable number.

101361026405 is a deficient number, since it is larger than the sum of its proper divisors (22277459995).

101361026405 is a wasteful number, since it uses less digits than its factorization.

101361026405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321180.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 101361026405 its reverse (504620163101), we get a palindrome (605981189506).

The spelling of 101361026405 in words is "one hundred one billion, three hundred sixty-one million, twenty-six thousand, four hundred five".

Divisors: 1 5 103 149 515 745 15347 76735 1320923 6604615 136055069 196817527 680275345 984087635 20272205281 101361026405