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131111112331212 = 2231313724732480677
BaseRepresentation
bin11101110011111010101111…
…010001101100111111001100
3122012020002200211212222012020
4131303322233101230333030
5114141111024224044322
61142503340303210140
736421315405533216
oct3563725721547714
9565202624788166
10131111112331212
1138859a01940122
12128562662a6950
135820956628270
142453b514175b6
15102577a8c705c
hex773eaf46cfcc

131111112331212 has 96 divisors (see below), whose sum is σ = 331997829035712. Its totient is φ = 40031204438016.

The previous prime is 131111112331201. The next prime is 131111112331217. The reversal of 131111112331212 is 212133211111131.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131111112331217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51612618 + ... + 54093294.

It is an arithmetic number, because the mean of its divisors is an integer number (3458310719122).

Almost surely, 2131111112331212 is an apocalyptic number.

131111112331212 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 131111112331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165998914517856).

131111112331212 is an abundant number, since it is smaller than the sum of its proper divisors (200886716704500).

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

131111112331212 is a wasteful number, since it uses less digits than its factorization.

131111112331212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483307 (or 2483305 counting only the distinct ones).

The product of its digits is 216, while the sum is 24.

Adding to 131111112331212 its reverse (212133211111131), we get a palindrome (343244323442343).

The spelling of 131111112331212 in words is "one hundred thirty-one trillion, one hundred eleven billion, one hundred twelve million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 822 1644 1781 2473 3562 4946 5343 7124 7419 9892 10686 14838 21372 29676 32149 64298 96447 128596 192894 338801 385788 677602 1016403 1355204 2032806 2480677 4065612 4404413 4961354 7442031 8808826 9922708 13213239 14884062 17617652 26426478 29768124 32248801 52852956 64497602 96746403 128995204 193492806 339852749 386985612 679705498 1019558247 1359410996 2039116494 4078232988 4418085737 6134714221 8836171474 12269428442 13254257211 17672342948 18404142663 24538856884 26508514422 36808285326 53017028844 73616570652 79751284873 159502569746 239253854619 319005139492 478507709238 840455848277 957015418476 1680911696554 2521367544831 3361823393108 5042735089662 10085470179324 10925926027601 21851852055202 32777778082803 43703704110404 65555556165606 131111112331212