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1010012012200 = 2352107113417671
BaseRepresentation
bin11101011001010010110…
…10000011111010101000
310120120000110210100020201
432230221122003322220
5113022001033342300
62051554302401544
7132654016310662
oct16545132037250
93516013710221
101010012012200
1135a3864a4944
121438b6b902b4
1374322600709
1436c56015532
151b4156e866a
hexeb29683ea8

1010012012200 has 96 divisors (see below), whose sum is σ = 2391205613760. Its totient is φ = 396686259200.

The previous prime is 1010012012167. The next prime is 1010012012257. The reversal of 1010012012200 is 22102100101.

1010012012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2209365 + ... + 2627035.

It is an arithmetic number, because the mean of its divisors is an integer number (24908391810).

Almost surely, 21010012012200 is an apocalyptic number.

1010012012200 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 1010012012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195602806880).

1010012012200 is an abundant number, since it is smaller than the sum of its proper divisors (1381193601560).

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

1010012012200 is a wasteful number, since it uses less digits than its factorization.

1010012012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417907 (or 417898 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010012012200 its reverse (22102100101), we get a palindrome (1032114112301).

The spelling of 1010012012200 in words is "one trillion, ten billion, twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 113 200 214 226 428 452 535 565 856 904 1070 1130 2140 2260 2675 2825 4280 4520 5350 5650 10700 11300 12091 21400 22600 24182 48364 60455 96728 120910 241820 302275 417671 483640 604550 835342 1209100 1670684 2088355 2418200 3341368 4176710 8353420 10441775 16706840 20883550 41767100 44690797 47196823 83534200 89381594 94393646 178763188 188787292 223453985 235984115 357526376 377574584 446907970 471968230 893815940 943936460 1117269925 1179920575 1787631880 1887872920 2234539850 2359841150 4469079700 4719682300 5050060061 8938159400 9439364600 10100120122 20200240244 25250300305 40400480488 50500600610 101001201220 126251501525 202002402440 252503003050 505006006100 1010012012200