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101411345436 = 22323539771471
BaseRepresentation
bin101111001110010010…
…1100101010000011100
3100200202112100010012220
41132130211211100130
53130142301023221
6114330541025340
710220032133142
oct1363445452034
9320675303186
10101411345436
113a010073895
12177a2555250
13974203129b
144ca0687592
1529880c10c6
hex179c96541c

101411345436 has 96 divisors (see below), whose sum is σ = 254170441728. Its totient is φ = 31396485120.

The previous prime is 101411345423. The next prime is 101411345461. The reversal of 101411345436 is 634543114101.

It is a junction number, because it is equal to n+sod(n) for n = 101411345397 and 101411345406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383181 + ... + 1454651.

It is an arithmetic number, because the mean of its divisors is an integer number (2647608768).

Almost surely, 2101411345436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101411345436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127085220864).

101411345436 is an abundant number, since it is smaller than the sum of its proper divisors (152759096292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101411345436 is a wasteful number, since it uses less digits than its factorization.

101411345436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71651 (or 71649 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 101411345436 its reverse (634543114101), we get a palindrome (735954459537).

The spelling of 101411345436 in words is "one hundred one billion, four hundred eleven million, three hundred forty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 97 106 138 159 194 212 276 291 318 388 582 636 1164 1219 2231 2438 3657 4462 4876 5141 6693 7314 8924 10282 13386 14628 15423 20564 26772 30846 61692 71471 118243 142942 214413 236486 285884 354729 428826 472972 709458 857652 1418916 1643833 3287666 3787963 4931499 6575332 6932687 7575926 9862998 11363889 13865374 15151852 19725996 20798061 22727778 27730748 41596122 45455556 83192244 87123149 159451801 174246298 261369447 318903602 348492596 367432411 478355403 522738894 637807204 734864822 956710806 1045477788 1102297233 1469729644 1913421612 2204594466 4409188932 8450945453 16901890906 25352836359 33803781812 50705672718 101411345436