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12131303220 = 223253717310529
BaseRepresentation
bin10110100110001010…
…01111111100110100
31011022110012001111200
423103011033330310
5144321103200340
65323435532500
7606424242651
oct132305177464
934273161450
1012131303220
115165893733
1224268ba130
1311b441853a
1483123ac28
154b005a330
hex2d314ff34

12131303220 has 144 divisors (see below), whose sum is σ = 38014900560. Its totient is φ = 3129090048.

The previous prime is 12131303161. The next prime is 12131303221. The reversal of 12131303220 is 2230313121.

12131303220 is a `hidden beast` number, since 1 + 213 + 130 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3458851344 + 8672451876 = 58812^2 + 93126^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12131303193 and 12131303202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131303221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146916 + ... + 1157444.

It is an arithmetic number, because the mean of its divisors is an integer number (263992365).

Almost surely, 212131303220 is an apocalyptic number.

12131303220 is a gapful number since it is divisible by the number (10) 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 12131303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19007450280).

12131303220 is an abundant number, since it is smaller than the sum of its proper divisors (25883597340).

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

12131303220 is a wasteful number, since it uses less digits than its factorization.

12131303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754 (or 10749 counting only the distinct ones).

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

Adding to 12131303220 its reverse (2230313121), we get a palindrome (14361616341).

Subtracting from 12131303220 its reverse (2230313121), we obtain a palindrome (9900990099).

The spelling of 12131303220 in words is "twelve billion, one hundred thirty-one million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 173 180 185 222 333 346 370 444 519 555 666 692 740 865 1038 1110 1332 1557 1665 1730 2076 2220 2595 3114 3330 3460 5190 6228 6401 6660 7785 10380 10529 12802 15570 19203 21058 25604 31140 31587 32005 38406 42116 52645 57609 63174 64010 76812 94761 96015 105290 115218 126348 128020 157935 189522 192030 210580 230436 288045 315870 379044 384060 389573 473805 576090 631740 779146 947610 1152180 1168719 1558292 1821517 1895220 1947865 2337438 3506157 3643034 3895730 4674876 5464551 5843595 7012314 7286068 7791460 9107585 10929102 11687190 14024628 16393653 17530785 18215170 21858204 23374380 27322755 32787306 35061570 36430340 54645510 65574612 67396129 70123140 81968265 109291020 134792258 163936530 202188387 269584516 327873060 336980645 404376774 606565161 673961290 808753548 1010941935 1213130322 1347922580 2021883870 2426260644 3032825805 4043767740 6065651610 12131303220