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211120200000096 = 2539112414016191
BaseRepresentation
bin110000000000001101000000…
…100001101010001001100000
31000200111220010201210101221020
4300000031000201222021200
5210132443132200000341
62025003140404125440
762316634236611202
oct6000150041521140
91020456121711836
10211120200000096
11612a663500a412
121b818613996880
1390a571b15463a
143a1c3b4cc4772
151961ac3058566
hexc0034086a260

211120200000096 has 48 divisors (see below), whose sum is σ = 554798857310208. Its totient is φ = 70296151452800.

The previous prime is 211120200000041. The next prime is 211120200000103. The reversal of 211120200000096 is 690000002021112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1206920640 + ... + 1207095551.

It is an arithmetic number, because the mean of its divisors is an integer number (11558309527296).

Almost surely, 2211120200000096 is an apocalyptic number.

It is an amenable number.

211120200000096 is an abundant number, since it is smaller than the sum of its proper divisors (343678657310112).

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

211120200000096 is a wasteful number, since it uses less digits than its factorization.

211120200000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414017115 (or 2414017107 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 211120200000096 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 911 1822 2733 3644 5466 7288 10932 14576 21864 29152 43728 87456 2414016191 4828032382 7242048573 9656064764 14484097146 19312129528 28968194292 38624259056 57936388584 77248518112 115872777168 231745554336 2199168750001 4398337500002 6597506250003 8796675000004 13195012500006 17593350000008 26390025000012 35186700000016 52780050000024 70373400000032 105560100000048 211120200000096