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13033301200100 = 2252462612817341
BaseRepresentation
bin1011110110101000110101…
…0010011100110011100100
31201010222020011120202211222
42331222031102130303210
53202014200101400400
643415225500515512
72513424232211336
oct275521522346344
951128204522758
1013033301200100
114175434828275
121565b3624bb98
1373705bc62b4c
14330b5aa7d456
1517905ceee185
hexbda8d49cce4

13033301200100 has 36 divisors (see below), whose sum is σ = 28282885006068. Its totient is φ = 5213205936000.

The previous prime is 13033301200099. The next prime is 13033301200111. The reversal of 13033301200100 is 100210333031.

It can be written as a sum of positive squares in 6 ways, for example, as 87063944356 + 12946237255744 = 295066^2 + 3598088^2 .

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 11 ways as a sum of consecutive naturals, for example, 3217430 + ... + 6034770.

It is an arithmetic number, because the mean of its divisors is an integer number (785635694613).

Almost surely, 213033301200100 is an apocalyptic number.

13033301200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13033301200100 is an abundant number, since it is smaller than the sum of its proper divisors (15249583805968).

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

13033301200100 is a wasteful number, since it uses less digits than its factorization.

13033301200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863616 (or 2863609 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13033301200100 its reverse (100210333031), we get a palindrome (13133511533131).

The spelling of 13033301200100 in words is "thirteen trillion, thirty-three billion, three hundred one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 46261 92522 185044 231305 462610 925220 1156525 2313050 2817341 4626100 5634682 11269364 14086705 28173410 56346820 70433525 140867050 281734100 130333012001 260666024002 521332048004 651665060005 1303330120010 2606660240020 3258325300025 6516650600050 13033301200100