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1121210000200 = 2352291371411037
BaseRepresentation
bin10000010100001101010…
…100101110001101001000
310222012001001102102012201
4100110031110232031020
5121332214230001300
62215024325245544
7144001425516553
oct20241524561510
93865031372181
101121210000200
113a25588a7084
1216136ab638b4
1381964069054
143c3a436369a
151e272a8066a
hex1050d52e348

1121210000200 has 96 divisors (see below), whose sum is σ = 2716389253800. Its totient is φ = 429858007040.

The previous prime is 1121210000173. The next prime is 1121210000201. The reversal of 1121210000200 is 20000121211.

It can be written as a sum of positive squares in 12 ways, for example, as 302977588356 + 818232411844 = 550434^2 + 904562^2 .

It is a super-2 number, since 2×11212100002002 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1121210000201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89082 + ... + 1500118.

Almost surely, 21121210000200 is an apocalyptic number.

1121210000200 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 1121210000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358194626900).

1121210000200 is an abundant number, since it is smaller than the sum of its proper divisors (1595179253600).

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

1121210000200 is a wasteful number, since it uses less digits than its factorization.

1121210000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411219 (or 1411210 counting only the distinct ones).

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

Adding to 1121210000200 its reverse (20000121211), we get a palindrome (1141210121411).

The spelling of 1121210000200 in words is "one trillion, one hundred twenty-one billion, two hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 137 145 200 232 274 290 548 580 685 725 1096 1160 1370 1450 2740 2900 3425 3973 5480 5800 6850 7946 13700 15892 19865 27400 31784 39730 79460 99325 158920 198650 397300 794600 1411037 2822074 5644148 7055185 11288296 14110370 28220740 35275925 40920073 56441480 70551850 81840146 141103700 163680292 193312069 204600365 282207400 327360584 386624138 409200730 773248276 818401460 966560345 1023001825 1546496552 1636802920 1933120690 2046003650 3866241380 4092007300 4832801725 5606050001 7732482760 8184014600 9665603450 11212100002 19331206900 22424200004 28030250005 38662413800 44848400008 56060500010 112121000020 140151250025 224242000040 280302500050 560605000100 1121210000200