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10010031311200 = 255247266224237
BaseRepresentation
bin1001000110101010010001…
…0111000100100101100000
31022102221122021220122211211
42101222210113010211200
52303001021003424300
633142313410515504
72052125623155454
oct221524427044540
938387567818754
1010010031311200
11320a259794658
121158017295b94
13577c3248971b
142686b94c2664
151255b59384ba
hex91aa45c4960

10010031311200 has 72 divisors (see below), whose sum is σ = 24956924967072. Its totient is φ = 3918820753920.

The previous prime is 10010031311197. The next prime is 10010031311207. The reversal of 10010031311200 is 211313001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010031311207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133074519 + ... + 133149718.

It is an arithmetic number, because the mean of its divisors is an integer number (346623957876).

Almost surely, 210010031311200 is an apocalyptic number.

10010031311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010031311200 is an abundant number, since it is smaller than the sum of its proper divisors (14946893655872).

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

10010031311200 is a wasteful number, since it uses less digits than its factorization.

10010031311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266224304 (or 266224291 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10010031311200 its reverse (211313001001), we get a palindrome (10221344312201).

The spelling of 10010031311200 in words is "ten trillion, ten billion, thirty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 3760 4700 7520 9400 18800 37600 266224237 532448474 1064896948 1331121185 2129793896 2662242370 4259587792 5324484740 6655605925 8519175584 10648969480 12512539139 13311211850 21297938960 25025078278 26622423700 42595877920 50050156556 53244847400 62562695695 100100313112 106489694800 125125391390 200200626224 212979389600 250250782780 312813478475 400401252448 500501565560 625626956950 1001003131120 1251253913900 2002006262240 2502507827800 5005015655600 10010031311200