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101011010110985 = 513431132331372627
BaseRepresentation
bin10110111101111001110101…
…011000000100011000001001
3111020122120001222012112200002
4112331321311120010120021
5101214431022042022420
6554455452322052345
730163542665245232
oct2675716530043011
9436576058175602
10101011010110985
112a20458a946447
12b3b473aaaa0b5
1344493b3469350
141ad2d5d5dc089
15ba27dc921075
hex5bde75604609

101011010110985 has 64 divisors (see below), whose sum is σ = 135333565855488. Its totient is φ = 71903288991744.

The previous prime is 101011010110973. The next prime is 101011010111017. The reversal of 101011010110985 is 589011010110101.

It is a cyclic number.

It is not a de Polignac number, because 101011010110985 - 26 = 101011010110921 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 72903242 + ... + 74275868.

It is an arithmetic number, because the mean of its divisors is an integer number (2114586966492).

Almost surely, 2101011010110985 is an apocalyptic number.

It is an amenable number.

101011010110985 is a deficient number, since it is larger than the sum of its proper divisors (34322555744503).

101011010110985 is a wasteful number, since it uses less digits than its factorization.

101011010110985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373034.

The product of its (nonzero) digits is 360, while the sum is 29.

The spelling of 101011010110985 in words is "one hundred one trillion, eleven billion, ten million, one hundred ten thousand, nine hundred eighty-five".

Divisors: 1 5 13 43 65 113 215 233 559 565 1165 1469 2795 3029 4859 7345 10019 15145 24295 26329 50095 63167 130247 131645 315835 342277 651235 1132147 1372627 1711385 5660735 6863135 14717911 17844151 59022961 73589555 89220755 155106851 295114805 319822091 767298493 775534255 1599110455 2016389063 3836492465 4157687183 6669594593 10081945315 13752349913 20788435915 33347972965 36139896283 68761749565 86704729709 178780548869 180699481415 433523648545 469818651679 893902744345 1554015540169 2349093258395 7770077700845 20202202022197 101011010110985