Search a number
-
+
10110100111110 = 2325537329034491
BaseRepresentation
bin1001001100011111000011…
…1011001111111100000110
31022210111221021000101211100
42103013300323033330012
52311120441112023420
633300303232320530
72062300464012006
oct223076073177406
938714837011740
1010110100111110
11324873aa4108a
1211734a40a3146
135844bc30766c
1426d48d732006
15127ec0c13190
hex931f0ecff06

10110100111110 has 96 divisors (see below), whose sum is σ = 27149108227488. Its totient is φ = 2608923133440.

The previous prime is 10110100111093. The next prime is 10110100111159. The reversal of 10110100111110 is 1111100101101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10110100111092 and 10110100111101.

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, 14169036 + ... + 14865455.

It is an arithmetic number, because the mean of its divisors is an integer number (282803210703).

Almost surely, 210110100111110 is an apocalyptic number.

10110100111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10110100111110 is an abundant number, since it is smaller than the sum of its proper divisors (17039008116378).

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

10110100111110 is a wasteful number, since it uses less digits than its factorization.

10110100111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29034630 (or 29034627 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10110100111110 its reverse (1111100101101), we get a palindrome (11221200212211).

The spelling of 10110100111110 in words is "ten trillion, one hundred ten billion, one hundred million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 73 90 106 146 159 219 265 318 365 438 477 530 657 730 795 954 1095 1314 1590 2190 2385 3285 3869 4770 6570 7738 11607 19345 23214 34821 38690 58035 69642 116070 174105 348210 29034491 58068982 87103473 145172455 174206946 261310419 290344910 435517365 522620838 871034730 1306552095 1538828023 2119517843 2613104190 3077656046 4239035686 4616484069 6358553529 7694140115 9232968138 10597589215 12717107058 13849452207 15388280230 19075660587 21195178430 23082420345 27698904414 31792767645 38151321174 46164840690 63585535290 69247261035 95378302935 112334445679 138494522070 190756605870 224668891358 337003337037 561672228395 674006674074 1011010011111 1123344456790 1685016685185 2022020022222 3370033370370 5055050055555 10110100111110