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13210771900 = 2252679532069
BaseRepresentation
bin11000100110110110…
…00110000110111100
31021002200101202011011
430103123012012330
5204023424200100
610022520405004
7645242464654
oct142333060674
937080352134
1013210771900
11566a155507
122688316764
131326c5acc1
148d4753364
15524bd7bba
hex3136c61bc

13210771900 has 72 divisors (see below), whose sum is σ = 29139853680. Its totient is φ = 5197463040.

The previous prime is 13210771883. The next prime is 13210771963. The reversal of 13210771900 is 917701231.

13210771900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132107719002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6384066 + ... + 6386134.

It is an arithmetic number, because the mean of its divisors is an integer number (404720190).

Almost surely, 213210771900 is an apocalyptic number.

13210771900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13210771900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569926840).

13210771900 is an abundant number, since it is smaller than the sum of its proper divisors (15929081780).

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

13210771900 is a wasteful number, since it uses less digits than its factorization.

13210771900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 31.

The spelling of 13210771900 in words is "thirteen billion, two hundred ten million, seven hundred seventy-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 953 1340 1675 1906 2069 3350 3812 4138 4765 6700 8276 9530 10345 19060 20690 23825 41380 47650 51725 63851 95300 103450 127702 138623 206900 255404 277246 319255 554492 638510 693115 1277020 1386230 1596275 1971757 2772460 3192550 3465575 3943514 6385100 6931150 7887028 9858785 13862300 19717570 39435140 49293925 98587850 132107719 197175700 264215438 528430876 660538595 1321077190 2642154380 3302692975 6605385950 13210771900