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2000231123121 = 3272111992072029
BaseRepresentation
bin11101000110110111000…
…100001100100010110001
321002012221112202010021200
4131012313010030202301
5230232433131414441
64130520554441413
7264340410006300
oct35066704144261
97065845663250
102000231123121
11701325361030
122837a9433269
1311680c3c790a
146cb51454437
153706d4337b6
hex1d1b710c8b1

2000231123121 has 72 divisors (see below), whose sum is σ = 3684898152000. Its totient is φ = 1033859090880.

The previous prime is 2000231123063. The next prime is 2000231123171. The reversal of 2000231123121 is 1213211320002.

2000231123121 is a `hidden beast` number, since 200 + 0 + 231 + 1 + 231 + 2 + 1 = 666.

It is not a de Polignac number, because 2000231123121 - 29 = 2000231122609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000231123094 and 2000231123103.

It is not an unprimeable number, because it can be changed into a prime (2000231123171) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 70666 + ... + 2001363.

It is an arithmetic number, because the mean of its divisors is an integer number (51179141000).

Almost surely, 22000231123121 is an apocalyptic number.

2000231123121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2000231123121 is a deficient number, since it is larger than the sum of its proper divisors (1684667028879).

2000231123121 is a wasteful number, since it uses less digits than its factorization.

2000231123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072259 (or 2072249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2000231123121 its reverse (1213211320002), we get a palindrome (3213442443123).

The spelling of 2000231123121 in words is "two trillion, two hundred thirty-one million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 199 231 441 539 597 693 1393 1617 1791 2189 4179 4851 6567 9751 12537 15323 19701 29253 45969 87759 107261 137907 321783 965349 2072029 6216087 14504203 18648261 22792319 43512609 68376957 101529421 130537827 159546233 205130871 304588263 412333771 478638699 913764789 1116823631 1237001313 1435916097 2886336397 3350470893 3711003939 4535671481 8659009191 10051412679 13607014443 20204354779 25977027573 31749700367 40821043329 60613064337 95249101101 181839193011 222247902569 285747303303 666743707707 2000231123121