Search a number
-
+
1010020010985 = 33583107857983
BaseRepresentation
bin11101011001010011110…
…00100100101111101001
310120120001000211201112000
432230221320210233221
5113022010110322420
62051555150041213
7132654144304026
oct16545170445751
93516030751460
101010020010985
1135a38aa68507
121438b97a9209
137432417141b
1436c570d854d
151b416278690
hexeb29e24be9

1010020010985 has 128 divisors (see below), whose sum is σ = 1838216540160. Its totient is φ = 526062647808.

The previous prime is 1010020010971. The next prime is 1010020010999. The reversal of 1010020010985 is 5890100200101.

It is an interprime number because it is at equal distance from previous prime (1010020010971) and next prime (1010020010999).

It is not a de Polignac number, because 1010020010985 - 210 = 1010020009961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1027486804 + ... + 1027487786.

It is an arithmetic number, because the mean of its divisors is an integer number (14361066720).

Almost surely, 21010020010985 is an apocalyptic number.

1010020010985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010020010985 is a deficient number, since it is larger than the sum of its proper divisors (828196529175).

1010020010985 is a wasteful number, since it uses less digits than its factorization.

1010020010985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 1010020010985 in words is "one trillion, ten billion, twenty million, ten thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 83 107 135 249 321 415 535 747 857 963 983 1245 1605 2241 2571 2889 2949 3735 4285 4815 4915 7713 8847 8881 11205 12855 14445 14745 23139 26541 26643 38565 44235 44405 71131 79929 81589 91699 105181 115695 132705 133215 213393 239787 244767 275097 315543 355655 399645 407945 458495 525905 640179 734301 825291 842431 946629 1066965 1198935 1223835 1375485 1577715 1920537 2202903 2475873 2527293 2839887 3200895 3671505 4126455 4212155 4733145 7581879 7611017 8730023 9602685 11014515 12379365 12636465 14199435 22745637 22833051 26190069 37909395 38055085 43650115 68499153 69921773 78570207 90140117 113728185 114165255 130950345 205497459 209765319 235710621 270420351 342495765 349608865 392851035 450700585 629295957 811261053 1027487295 1048826595 1178553105 1352101755 1887887871 2433783159 3146479785 4056305265 7481629711 9439439355 12168915795 22444889133 37408148555 67334667399 112224445665 202004002197 336673336995 1010020010985