Search a number
-
+
101110013223102 = 2321311711210130493
BaseRepresentation
bin10110111111010110000010…
…011010111110000010111110
3111021000000121200000201211100
4112333112002122332002332
5101223041301341114402
6555013144314233530
730203646245644122
oct2677260232760276
9437000550021740
10101110013223102
112a242574593964
12b40b96aa258a6
13445583058b2b0
141ad7a720c1582
15ba518439171c
hex5bf5826be0be

101110013223102 has 96 divisors (see below), whose sum is σ = 236152092941856. Its totient is φ = 31080617568000.

The previous prime is 101110013223031. The next prime is 101110013223157. The reversal of 101110013223102 is 201322310011101.

101110013223102 is a `hidden beast` number, since 10 + 11 + 10 + 0 + 1 + 322 + 310 + 2 = 666.

It is a super-2 number, since 2×1011100132231022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3315828168 + ... + 3315858660.

It is an arithmetic number, because the mean of its divisors is an integer number (2459917634811).

Almost surely, 2101110013223102 is an apocalyptic number.

101110013223102 is an abundant number, since it is smaller than the sum of its proper divisors (135042079718754).

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

101110013223102 is a wasteful number, since it uses less digits than its factorization.

101110013223102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43786 (or 43783 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101110013223102 its reverse (201322310011101), we get a palindrome (302432323234203).

The spelling of 101110013223102 in words is "one hundred one trillion, one hundred ten billion, thirteen million, two hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1171 2342 3513 7026 10539 12101 15223 21078 24202 30446 30493 36303 45669 60986 72606 91338 91479 108909 137007 157313 182958 217818 274014 274437 314626 396409 471939 548874 792818 943878 1189227 1415817 2378454 2831634 3567681 7135362 14170271 28340542 35707303 42510813 71414606 85021626 107121909 127532439 184213523 214243818 255064878 321365727 368427046 368995793 464194939 552640569 642731454 737991586 928389878 1105281138 1106987379 1392584817 1657921707 2213974758 2785169634 3315843414 3320962137 4177754451 4796945309 6641924274 8355508902 9593890618 14390835927 28781671854 43172507781 86345015562 432094073603 864188147206 1296282220809 2592564441618 3888846662427 5617222956839 7777693324854 11234445913678 16851668870517 33703337741034 50555006611551 101110013223102