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12045102214410 = 235523269213023
BaseRepresentation
bin1010111101000111100000…
…0010011110110100001010
31120122111111212211222200000
42233101320002132310022
53034321332131330120
641341235451023430
72352141601344666
oct257217002366412
946574455758600
1012045102214410
113924332204071
12142650843ab76
13694b0483b415
142d8db3a578a6
1515d4c27ee990
hexaf47809ed0a

12045102214410 has 96 divisors (see below), whose sum is σ = 32478712680960. Its totient is φ = 3211874140608.

The previous prime is 12045102214403. The next prime is 12045102214543. The reversal of 12045102214410 is 1441220154021.

12045102214410 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 510 + 2 + 2 + 144 + 1 + 0 = 666.

It is a super-2 number, since 2×120451022144102 (a number of 27 digits) contains 22 as substring.

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

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, 56437159 + ... + 56650181.

It is an arithmetic number, because the mean of its divisors is an integer number (338319923760).

Almost surely, 212045102214410 is an apocalyptic number.

12045102214410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12045102214410 is an abundant number, since it is smaller than the sum of its proper divisors (20433610466550).

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

12045102214410 is a wasteful number, since it uses less digits than its factorization.

12045102214410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236314 (or 236302 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12045102214410 its reverse (1441220154021), we get a palindrome (13486322368431).

The spelling of 12045102214410 in words is "twelve trillion, forty-five billion, one hundred two million, two hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 23269 46538 69807 116345 139614 209421 213023 232690 349035 418842 426046 628263 639069 698070 1047105 1065115 1256526 1278138 1884789 1917207 2094210 2130230 3141315 3195345 3769578 3834414 5654367 5751621 6282630 6390690 9423945 9586035 11308734 11503242 17254863 18847890 19172070 28271835 28758105 34509726 51764589 56543670 57516210 86274315 103529178 172548630 258822945 517645890 4956832187 9913664374 14870496561 24784160935 29740993122 44611489683 49568321870 74352482805 89222979366 133834469049 148704965610 223057448415 267668938098 401503407147 446114896830 669172345245 803006814294 1204510221441 1338344690490 2007517035735 2409020442882 4015034071470 6022551107205 12045102214410