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13203013212 = 223217313891789
BaseRepresentation
bin11000100101111010…
…11111111001011100
31021002010210120020100
430102331133321130
5204014432410322
610022042221100
7645116521614
oct142275377134
937063716210
1013203013212
115665836274
1226857b4790
13132547266c
148d36d3a44
155241a3dac
hex312f5fe5c

13203013212 has 144 divisors (see below), whose sum is σ = 36591609600. Its totient is φ = 3995965440.

The previous prime is 13203013211. The next prime is 13203013249. The reversal of 13203013212 is 21231030231.

13203013212 is a `hidden beast` number, since 1 + 320 + 301 + 32 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203013211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7379214 + ... + 7381002.

It is an arithmetic number, because the mean of its divisors is an integer number (254108400).

Almost surely, 213203013212 is an apocalyptic number.

13203013212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13203013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295804800).

13203013212 is an abundant number, since it is smaller than the sum of its proper divisors (23388596388).

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

13203013212 is a wasteful number, since it uses less digits than its factorization.

13203013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2231 counting only the distinct ones).

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

Adding to 13203013212 its reverse (21231030231), we get a palindrome (34434043443).

The spelling of 13203013212 in words is "thirteen billion, two hundred three million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 389 527 558 612 778 1054 1116 1167 1556 1581 1789 2108 2334 3162 3501 3578 4668 4743 5367 6324 6613 7002 7156 9486 10734 12059 13226 14004 16101 18972 19839 21468 24118 26452 30413 32202 36177 39678 48236 55459 59517 60826 64404 72354 79356 91239 108531 110918 119034 121652 144708 166377 182478 205003 217062 221836 238068 273717 332754 364956 410006 434124 499131 547434 615009 665508 695921 820012 942803 998262 1094868 1230018 1391842 1845027 1885606 1996524 2087763 2460036 2783684 2828409 3690054 3771212 4175526 5656818 6263289 7380108 8351052 8485227 11313636 11830657 12526578 16970454 21573551 23661314 25053156 33940908 35491971 43147102 47322628 64720653 70983942 86294204 106475913 129441306 141967884 194161959 212951826 258882612 366750367 388323918 425903652 733500734 776647836 1100251101 1467001468 2200502202 3300753303 4401004404 6601506606 13203013212