Search a number
-
+
2011656152121 = 371121114125281
BaseRepresentation
bin11101010001100000000…
…011001110010000111001
321010022102202221201200220
4131101200003032100321
5230424332433331441
64140050404450253
7265223500106610
oct35214003162071
97108382851626
102011656152121
117061584aa460
12285a576a9989
131179103b7cc5
146d516962877
15374db47c466
hex1d4600ce439

2011656152121 has 32 divisors (see below), whose sum is σ = 3345636704256. Its totient is φ = 1044520896000.

The previous prime is 2011656152117. The next prime is 2011656152173. The reversal of 2011656152121 is 1212516561102.

It is a happy number.

It is not a de Polignac number, because 2011656152121 - 22 = 2011656152117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2011656152101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1575000 + ... + 2550281.

It is an arithmetic number, because the mean of its divisors is an integer number (104551147008).

Almost surely, 22011656152121 is an apocalyptic number.

2011656152121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011656152121 is a deficient number, since it is larger than the sum of its proper divisors (1333980552135).

2011656152121 is a wasteful number, since it uses less digits than its factorization.

2011656152121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127413.

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 2011656152121 in words is "two trillion, eleven billion, six hundred fifty-six million, one hundred fifty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 231 2111 6333 14777 23221 44331 69663 162547 487641 4125281 12375843 28876967 45378091 86630901 136134273 317646637 952939911 8708468191 26125404573 60959277337 95793150101 182877832011 287379450303 670552050707 2011656152121