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1110010109985 = 33577330895209
BaseRepresentation
bin10000001001110001110…
…000100010000000100001
310221010010111212001011000
4100021301300202000201
5121141300042004420
62205533120542213
7143124041154450
oct20116160420041
93833114761130
101110010109985
11398830850867
1215b164181969
138089a8c538a
143ba20adcb97
151dd196a9690
hex10271c22021

1110010109985 has 128 divisors (see below), whose sum is σ = 2287331712000. Its totient is φ = 500223983616.

The previous prime is 1110010109983. The next prime is 1110010109987. The reversal of 1110010109985 is 5899010100111.

It is an interprime number because it is at equal distance from previous prime (1110010109983) and next prime (1110010109987).

It is not a de Polignac number, because 1110010109985 - 21 = 1110010109983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1110010109983) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213092061 + ... + 213097269.

It is an arithmetic number, because the mean of its divisors is an integer number (17869779000).

Almost surely, 21110010109985 is an apocalyptic number.

1110010109985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1110010109985 is an abundant number, since it is smaller than the sum of its proper divisors (1177321602015).

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

1110010109985 is a wasteful number, since it uses less digits than its factorization.

1110010109985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 36.

The spelling of 1110010109985 in words is "one trillion, one hundred ten billion, ten million, one hundred nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 73 105 135 189 219 315 365 511 657 945 1095 1533 1971 2555 3089 3285 4599 5209 7665 9267 9855 13797 15445 15627 21623 22995 26045 27801 36463 46335 46881 64869 68985 78135 83403 108115 109389 139005 140643 182315 194607 225497 234405 324345 328167 380257 417015 546945 583821 676491 703215 973035 984501 1127485 1140771 1578479 1640835 1901285 2029473 2661799 2919105 3382455 3422313 4735437 4922505 5703855 6088419 7892395 7985397 10147365 10266939 13308995 14206311 16090601 17111565 23677185 23956191 30442095 39926985 42618933 48271803 51334695 71031555 71868573 80453005 112634207 119780955 144815409 213094665 241359015 337902621 359342865 434446227 563171035 724077045 1013707863 1174613873 1689513105 2172231135 3041123589 3523841619 5068539315 5873069365 8222297111 10571524857 15205617945 17619208095 24666891333 31714574571 41111485555 52857624285 74000673999 123334456665 158572872855 222002021997 370003369995 1110010109985