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1012222022200 = 235271193336877
BaseRepresentation
bin11101011101011010010…
…00100101001000111000
310120202201111022111000221
432232231020211020320
5113041012314202300
62053001450505424
7133062543140554
oct16565510451070
93522644274027
101012222022200
1136030aa41094
12144213135274
13745b542833c
1436dc573a864
151b4e474131a
hexebad225238

1012222022200 has 96 divisors (see below), whose sum is σ = 2387862300960. Its totient is φ = 398968819200.

The previous prime is 1012222022183. The next prime is 1012222022209. The reversal of 1012222022200 is 22202222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012222022209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27430162 + ... + 27467038.

It is an arithmetic number, because the mean of its divisors is an integer number (24873565635).

Almost surely, 21012222022200 is an apocalyptic number.

1012222022200 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 1012222022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193931150480).

1012222022200 is an abundant number, since it is smaller than the sum of its proper divisors (1375640278760).

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

1012222022200 is a wasteful number, since it uses less digits than its factorization.

1012222022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38897 (or 38888 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1012222022200 its reverse (22202222101), we get a palindrome (1034424244301).

The spelling of 1012222022200 in words is "one trillion, twelve billion, two hundred twenty-two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 1933 2840 3550 3866 7100 7732 9665 14200 15464 19330 36877 38660 48325 73754 77320 96650 137243 147508 184385 193300 274486 295016 368770 386600 548972 686215 737540 921925 1097944 1372430 1475080 1843850 2618267 2744860 3431075 3687700 5236534 5489720 6862150 7375400 10473068 13091335 13724300 20946136 26182670 27448600 52365340 65456675 71283241 104730680 130913350 142566482 261826700 285132964 356416205 523653400 570265928 712832410 1425664820 1782081025 2851329640 3564162050 5061110111 7128324100 10122220222 14256648200 20244440444 25305550555 40488880888 50611101110 101222202220 126527752775 202444404440 253055505550 506111011100 1012222022200