Search a number
-
+
2100121120097 = 711133251645347
BaseRepresentation
bin11110100011111000111…
…110010010110101100001
321102202210001101201202022
4132203320332102311201
5233402022001320342
64244440552031225
7304504646661260
oct36437076226541
97382701351668
102100121120097
1173a724693240
1229b026392515
1312306b1a07c0
1473909a3c5d7
1539967b8e9d2
hex1e8f8f92d61

2100121120097 has 32 divisors (see below), whose sum is σ = 2820614759424. Its totient is φ = 1510109640000.

The previous prime is 2100121120067. The next prime is 2100121120099. The reversal of 2100121120097 is 7900211210012.

It is not a de Polignac number, because 2100121120097 - 216 = 2100121054561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100121120099) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2931578 + ... + 3576924.

It is an arithmetic number, because the mean of its divisors is an integer number (88144211232).

Almost surely, 22100121120097 is an apocalyptic number.

It is an amenable number.

2100121120097 is a deficient number, since it is larger than the sum of its proper divisors (720493639327).

2100121120097 is a wasteful number, since it uses less digits than its factorization.

2100121120097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648629.

The product of its (nonzero) digits is 504, while the sum is 26.

The spelling of 2100121120097 in words is "two trillion, one hundred billion, one hundred twenty-one million, one hundred twenty thousand, ninety-seven".

Divisors: 1 7 11 13 77 91 143 1001 3251 22757 35761 42263 250327 295841 464893 645347 3254251 4517429 7098817 8389511 49691719 58726577 92284621 645992347 2098023097 14686161679 23078254067 27274300261 161547778469 190920101827 300017302871 2100121120097