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1213112010 = 23511171012141
BaseRepresentation
bin100100001001110…
…1001111011001010
310010112200110211110
41020103221323022
54441024041020
6320213111150
742030165465
oct11023517312
93115613743
101213112010
11572852010
1229a3284b6
13164435676
14b71842dc
157177a8e0
hex484e9eca

1213112010 has 128 divisors (see below), whose sum is σ = 3397863168. Its totient is φ = 273920000.

The previous prime is 1213112009. The next prime is 1213112011. The reversal of 1213112010 is 102113121.

It is an interprime number because it is at equal distance from previous prime (1213112009) and next prime (1213112011).

It is not an unprimeable number, because it can be changed into a prime (1213112011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565540 + ... + 567680.

It is an arithmetic number, because the mean of its divisors is an integer number (26545806).

Almost surely, 21213112010 is an apocalyptic number.

1213112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698931584).

1213112010 is an abundant number, since it is smaller than the sum of its proper divisors (2184751158).

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

1213112010 is a wasteful number, since it uses less digits than its factorization.

1213112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1213112010 is about 34829.7575357624. The cubic root of 1213112010 is about 1066.5149987264.

Adding to 1213112010 its reverse (102113121), we get a palindrome (1315225131).

It can be divided in two parts, 121311 and 2010, that added together give a palindrome (123321).

The spelling of 1213112010 in words is "one billion, two hundred thirteen million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 101 102 110 165 170 187 202 255 303 330 374 505 510 561 606 935 1010 1111 1122 1515 1717 1870 2141 2222 2805 3030 3333 3434 4282 5151 5555 5610 6423 6666 8585 10302 10705 11110 12846 16665 17170 18887 21410 23551 25755 32115 33330 36397 37774 47102 51510 56661 64230 70653 72794 94435 109191 113322 117755 141306 181985 188870 216241 218382 235510 283305 353265 363970 400367 432482 545955 566610 648723 706530 800734 1081205 1091910 1201101 1297446 2001835 2162410 2378651 2402202 3243615 3676097 4003670 4757302 6005505 6487230 7135953 7352194 11028291 11893255 12011010 14271906 18380485 22056582 23786510 35679765 36760970 40437067 55141455 71359530 80874134 110282910 121311201 202185335 242622402 404370670 606556005 1213112010