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11123010131310 = 23257111605051967
BaseRepresentation
bin1010000111011100011100…
…0100010101010101101110
31110101100102200220210200200
42201313013010111111232
52424214411043200220
635353501301334330
72225416363065630
oct241670704252556
943340380823620
1011123010131310
1135a9273274260
1212b78697073a6
13628b8412c1bc
142a64dc5a0a50
15144505a55890
hexa1dc711556e

11123010131310 has 96 divisors (see below), whose sum is σ = 36055887409152. Its totient is φ = 2311274831040.

The previous prime is 11123010131287. The next prime is 11123010131323. The reversal of 11123010131310 is 1313101032111.

11123010131310 is a `hidden beast` number, since 1 + 11 + 230 + 101 + 313 + 10 = 666.

11123010131310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111230101313102 (a number of 27 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, 802519054 + ... + 802532913.

It is an arithmetic number, because the mean of its divisors is an integer number (375582160512).

Almost surely, 211123010131310 is an apocalyptic number.

11123010131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11123010131310 is an abundant number, since it is smaller than the sum of its proper divisors (24932877277842).

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

11123010131310 is a wasteful number, since it uses less digits than its factorization.

11123010131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605051998 (or 1605051995 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11123010131310 its reverse (1313101032111), we get a palindrome (12436111163421).

The spelling of 11123010131310 in words is "eleven trillion, one hundred twenty-three billion, ten million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 1605051967 3210103934 4815155901 8025259835 9630311802 11235363769 14445467703 16050519670 17655571637 22470727538 24075779505 28890935406 33706091307 35311143274 48151559010 52966714911 56176818845 67412182614 72227338515 88277858185 101118273921 105933429822 112353637690 123589001459 144454677030 158900144733 168530456535 176555716370 202236547842 247178002918 264833574555 317800289466 337060913070 370767004377 505591369605 529667149110 617945007295 741534008754 794500723665 1011182739210 1112301013131 1235890014590 1589001447330 1853835021885 2224602026262 3707670043770 5561505065655 11123010131310