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113201506341 = 3471159307627
BaseRepresentation
bin110100101101101010…
…1011110100000100101
3101211012012121100110000
41221123111132200211
53323314041200331
6124000513051513
711115144633120
oct1513325364045
9354165540400
10113201506341
1144010332220
1219b32b56b99
13a8a0875261
14569c4813b7
152e281e20e6
hex1a5b55e825

113201506341 has 80 divisors (see below), whose sum is σ = 214404410880. Its totient is φ = 57809077920.

The previous prime is 113201506303. The next prime is 113201506349. The reversal of 113201506341 is 143605102311.

It is a happy number.

113201506341 is a `hidden beast` number, since 1 + 1 + 3 + 20 + 1 + 5 + 0 + 634 + 1 = 666.

It is not a de Polignac number, because 113201506341 - 217 = 113201375269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113201506349) 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 79 ways as a sum of consecutive naturals, for example, 214170 + ... + 521796.

It is an arithmetic number, because the mean of its divisors is an integer number (2680055136).

Almost surely, 2113201506341 is an apocalyptic number.

113201506341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113201506341 is a deficient number, since it is larger than the sum of its proper divisors (101202904539).

113201506341 is a wasteful number, since it uses less digits than its factorization.

113201506341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307716 (or 307707 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 113201506341 its reverse (143605102311), we get a palindrome (256806608652).

The spelling of 113201506341 in words is "one hundred thirteen billion, two hundred one million, five hundred six thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 59 63 77 81 99 177 189 231 297 413 531 567 649 693 891 1239 1593 1947 2079 3717 4543 4779 5841 6237 11151 13629 17523 33453 40887 52569 122661 307627 367983 922881 2153389 2768643 3383897 6460167 8305929 10151691 18149993 19380501 23687279 24917787 30455073 54449979 58141503 71061837 91365219 127049951 163349937 174424509 199649923 213185511 274095657 381149853 490049811 598949769 639556533 1143449559 1397549461 1470149433 1796849307 1918669599 3430348677 4192648383 5390547921 10291046031 12577945149 16171643763 37733835447 113201506341