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102301103200014 = 232176113740004467
BaseRepresentation
bin10111010000101011010100…
…111010101001011100001110
3111102012220000202221202220200
4113100223110322221130032
5101402100124404400024
61001324251130154330
730356003463464355
oct2720532472513416
9442186022852820
10102301103200014
112a661721854804
12b5827805829a6
134510c4cc3a294
141b3958513699c
15bc6146c252c9
hex5d0ad4ea970e

102301103200014 has 96 divisors (see below), whose sum is σ = 240279316202016. Its totient is φ = 31337898485760.

The previous prime is 102301103199991. The next prime is 102301103200111. The reversal of 102301103200014 is 410002301103201.

102301103200014 is a `hidden beast` number, since 1 + 0 + 230 + 110 + 320 + 0 + 0 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 102301103200014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17444992 + ... + 22559475.

It is an arithmetic number, because the mean of its divisors is an integer number (2502909543771).

Almost surely, 2102301103200014 is an apocalyptic number.

102301103200014 is an abundant number, since it is smaller than the sum of its proper divisors (137978213002002).

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

102301103200014 is a wasteful number, since it uses less digits than its factorization.

102301103200014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40004690 (or 40004687 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102301103200014 its reverse (410002301103201), we get a palindrome (512303404303215).

The spelling of 102301103200014 in words is "one hundred two trillion, three hundred one billion, one hundred three million, two hundred thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 137 153 183 274 306 366 411 549 822 1037 1098 1233 2074 2329 2466 3111 4658 6222 6987 8357 9333 13974 16714 18666 20961 25071 41922 50142 75213 142069 150426 284138 426207 852414 1278621 2557242 40004467 80008934 120013401 240026802 360040203 680075939 720080406 1360151878 2040227817 2440272487 4080455634 4880544974 5480611979 6120683451 7320817461 10961223958 12241366902 14641634922 16441835937 21962452383 32883671874 41484632279 43924904766 49325507811 82969264558 93170403643 98651015622 124453896837 186340807286 248907793674 279511210929 334317330719 373361690511 559022421858 668634661438 746723381022 838533632787 1002951992157 1677067265574 2005903984314 3008855976471 5683394622223 6017711952942 11366789244446 17050183866669 34100367733338 51150551600007 102301103200014