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1011211120200 = 2335212647133261
BaseRepresentation
bin11101011011100001110…
…00010010111001001000
310120200010001010100012010
432231300320102321020
5113031430021321300
62052313255415520
7133025516462451
oct16556070227110
93520101110163
101011211120200
1135a941351496
12143b906845a0
1374483b71b88
1436d2b392128
151b485b09a50
hexeb70e12e48

1011211120200 has 96 divisors (see below), whose sum is σ = 3135025863360. Its totient is φ = 269632953600.

The previous prime is 1011211120193. The next prime is 1011211120223. The reversal of 1011211120200 is 20211121101.

It is a super-2 number, since 2×10112111202002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 7521570 + ... + 7654830.

It is an arithmetic number, because the mean of its divisors is an integer number (32656519410).

Almost surely, 21011211120200 is an apocalyptic number.

1011211120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011211120200 is an abundant number, since it is smaller than the sum of its proper divisors (2123814743160).

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

1011211120200 is a wasteful number, since it uses less digits than its factorization.

1011211120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145927 (or 145918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011211120200 its reverse (20211121101), we get a palindrome (1031422241301).

Subtracting from 1011211120200 its reverse (20211121101), we obtain a palindrome (990999999099).

The spelling of 1011211120200 in words is "one trillion, eleven billion, two hundred eleven million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 12647 25294 37941 50588 63235 75882 101176 126470 133261 151764 189705 252940 266522 303528 316175 379410 399783 505880 533044 632350 666305 758820 799566 948525 1066088 1264700 1332610 1517640 1599132 1897050 1998915 2529400 2665220 3198264 3331525 3794100 3997830 5330440 6663050 7588200 7995660 9994575 13326100 15991320 19989150 26652200 39978300 79956600 1685351867 3370703734 5056055601 6741407468 8426759335 10112111202 13482814936 16853518670 20224222404 25280278005 33707037340 40448444808 42133796675 50560556010 67414074680 84267593350 101121112020 126401390025 168535186700 202242224040 252802780050 337070373400 505605560100 1011211120200