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12021110010 = 23257131467779
BaseRepresentation
bin10110011001000001…
…11001010011111010
31011000202211122211200
423030200321103322
5144104401010020
65304502035030
7603615514650
oct131440712372
934022748750
1012021110010
11510966a968
1223b5a18a76
131197646260
14820754dd0
154a5540590
hex2cc8394fa

12021110010 has 96 divisors (see below), whose sum is σ = 38467578240. Its totient is φ = 2536320384.

The previous prime is 12021109987. The next prime is 12021110027. The reversal of 12021110010 is 1001112021.

It is a happy number.

12021110010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12021109974 and 12021110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725700 + ... + 742079.

It is an arithmetic number, because the mean of its divisors is an integer number (400703940).

Almost surely, 212021110010 is an apocalyptic number.

12021110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12021110010 is an abundant number, since it is smaller than the sum of its proper divisors (26446468230).

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

12021110010 is a wasteful number, since it uses less digits than its factorization.

12021110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467812 (or 1467809 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12021110010 its reverse (1001112021), we get a palindrome (13022222031).

The spelling of 12021110010 in words is "twelve billion, twenty-one million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 1467779 2935558 4403337 7338895 8806674 10274453 13210011 14677790 19081127 20548906 22016685 26420022 30823359 38162254 44033370 51372265 57243381 61646718 66050055 92470077 95405635 102744530 114486762 132100110 133567889 154116795 171730143 184940154 190811270 267135778 286216905 308233590 343460286 400703667 462350385 572433810 667839445 801407334 858650715 924700770 1202111001 1335678890 1717301430 2003518335 2404222002 4007036670 6010555005 12021110010