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103066666565200 = 245213101196242701
BaseRepresentation
bin10111011011110100010100…
…000011000111111001010000
3111111221002002012111012201021
4113123310110003013321100
5102002121013120041300
61003112101210045224
730465215035641232
oct2733642403077120
9444832065435637
10103066666565200
112a927367374028
12b687016119814
1345681b6602960
141b6464bb20252
15bdb001b69d1a
hex5dbd140c7e50

103066666565200 has 120 divisors (see below), whose sum is σ = 269305429896216. Its totient is φ = 37678598400000.

The previous prime is 103066666565179. The next prime is 103066666565243. The reversal of 103066666565200 is 2565666660301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 42147829842496 + 60918836722704 = 6492136^2 + 7805052^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97596151 + ... + 98646550.

Almost surely, 2103066666565200 is an apocalyptic number.

103066666565200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103066666565200 is an abundant number, since it is smaller than the sum of its proper divisors (166238763331016).

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

103066666565200 is a wasteful number, since it uses less digits than its factorization.

103066666565200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196242833 (or 196242822 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 103066666565200 in words is "one hundred three trillion, sixty-six billion, six hundred sixty-six million, five hundred sixty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 101 104 130 200 202 208 260 325 400 404 505 520 650 808 1010 1040 1300 1313 1616 2020 2525 2600 2626 4040 5050 5200 5252 6565 8080 10100 10504 13130 20200 21008 26260 32825 40400 52520 65650 105040 131300 262600 525200 196242701 392485402 784970804 981213505 1569941608 1962427010 2551155113 3139883216 3924854020 4906067525 5102310226 7849708040 9812135050 10204620452 12755775565 15699416080 19624270100 19820512801 20409240904 25511551130 39248540200 39641025602 40818481808 51023102260 63778877825 78497080400 79282051204 99102564005 102046204520 127557755650 158564102408 198205128010 204092409040 255115511300 257666666413 317128204816 396410256020 495512820025 510231022600 515333332826 792820512040 991025640050 1020462045200 1030666665652 1288333332065 1585641024080 1982051280100 2061333331304 2576666664130 3964102560200 4122666662608 5153333328260 6441666660325 7928205120400 10306666656520 12883333320650 20613333313040 25766666641300 51533333282600 103066666565200