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12002111010 = 234517871613
BaseRepresentation
bin10110010110110000…
…11010111000100010
31010222110002102010000
423023120122320202
5144040020023020
65302542520430
7603265155201
oct131330327042
933873072100
1012002111010
1150a997370a
1223ab596116
131193723646
1481c00b238
154a3a3b090
hex2cb61ae22

12002111010 has 80 divisors (see below), whose sum is σ = 34170755256. Its totient is φ = 3012291072.

The previous prime is 12002111003. The next prime is 12002111021. The reversal of 12002111010 is 1011120021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8857256769 + 3144854241 = 94113^2 + 56079^2 .

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 = 12002110983 and 12002111001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 422037 + ... + 449576.

Almost surely, 212002111010 is an apocalyptic number.

12002111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002111010 is an abundant number, since it is smaller than the sum of its proper divisors (22168644246).

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

12002111010 is a wasteful number, since it uses less digits than its factorization.

12002111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871649 (or 871640 counting only the distinct ones).

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

Adding to 12002111010 its reverse (1011120021), we get a palindrome (13013231031).

The spelling of 12002111010 in words is "twelve billion, two million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 871613 1743226 2614839 4358065 5229678 7844517 8716130 13074195 14817421 15689034 23533551 26148390 29634842 39222585 44452263 47067102 70600653 74087105 78445170 88904526 117667755 133356789 141201306 148174210 222261315 235335510 266713578 353003265 400070367 444522630 666783945 706006530 800140734 1200211101 1333567890 2000351835 2400422202 4000703670 6001055505 12002111010