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2120334410196 = 223273806824357
BaseRepresentation
bin11110110110101101110…
…001111000000111010100
321111200221202021021000100
4132312231301320013110
5234214421102111241
64302022421014100
7306121602054222
oct36665561700724
97450852237010
102120334410196
11748257552272
122a2b27854330
13124c3cb069a2
14748a63a5b12
153a24c4dc9b6
hex1edadc781d4

2120334410196 has 36 divisors (see below), whose sum is σ = 5433155226772. Its totient is φ = 697096243584.

The previous prime is 2120334410189. The next prime is 2120334410213. The reversal of 2120334410196 is 6910144330212.

2120334410196 is a `hidden beast` number, since 2 + 1 + 20 + 3 + 3 + 441 + 0 + 196 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1369882976400 + 750451433796 = 1170420^2 + 866286^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21203344101962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2120334410196.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403409551 + ... + 403414806.

Almost surely, 22120334410196 is an apocalyptic number.

It is an amenable number.

2120334410196 is an abundant number, since it is smaller than the sum of its proper divisors (3312820816576).

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

2120334410196 is a wasteful number, since it uses less digits than its factorization.

2120334410196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806824440 (or 806824435 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2120334410196 in words is "two trillion, one hundred twenty billion, three hundred thirty-four million, four hundred ten thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 806824357 1613648714 2420473071 3227297428 4840946142 7261419213 9681892284 14522838426 29045676852 58898178061 117796356122 176694534183 235592712244 353389068366 530083602549 706778136732 1060167205098 2120334410196