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12002023330110 = 23251116374375803
BaseRepresentation
bin1010111010100111000001…
…0101100101000100111110
31120111101022122022220220200
42232221300111211010332
53033120120433030420
641305353045024330
72346055220023062
oct256516025450476
946441278286820
1012002023330110
113908036306750
12141a0a53b50a6
13690a2a945038
142d6c885cbaa2
1515c300890b90
hexaea7056513e

12002023330110 has 96 divisors (see below), whose sum is σ = 34250950251648. Its totient is φ = 2891731181760.

The previous prime is 12002023330051. The next prime is 12002023330211. The reversal of 12002023330110 is 1103332020021.

12002023330110 is a `hidden beast` number, since 1 + 20 + 0 + 202 + 3 + 330 + 110 = 666.

12002023330110 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 2×120020233301102 (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, 37026532 + ... + 37349271.

It is an arithmetic number, because the mean of its divisors is an integer number (356780731788).

Almost surely, 212002023330110 is an apocalyptic number.

12002023330110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002023330110 is an abundant number, since it is smaller than the sum of its proper divisors (22248926921538).

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

12002023330110 is a wasteful number, since it uses less digits than its factorization.

12002023330110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74375990 (or 74375987 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12002023330110 its reverse (1103332020021), we get a palindrome (13105355350131).

The spelling of 12002023330110 in words is "twelve trillion, two billion, twenty-three million, three hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 163 165 198 326 330 489 495 815 978 990 1467 1630 1793 2445 2934 3586 4890 5379 7335 8965 10758 14670 16137 17930 26895 32274 53790 80685 161370 74375803 148751606 223127409 371879015 446254818 669382227 743758030 818133833 1115637045 1338764454 1636267666 2231274090 2454401499 3346911135 4090669165 4908802998 6693822270 7363204497 8181338330 12123255889 12272007495 14726408994 24246511778 24544014990 36369767667 36816022485 60616279445 72739535334 73632044970 109109303001 121232558890 133355814779 181848838335 218218606002 266711629558 363697676670 400067444337 545546515005 666779073895 800134888674 1091093030010 1200202333011 1333558147790 2000337221685 2400404666022 4000674443370 6001011665055 12002023330110