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131101212 = 2231117371579
BaseRepresentation
bin1111101000001…
…11001000011100
3100010200122001110
413310013020130
5232030214322
621001542020
73151225164
oct764071034
9303618043
10131101212
1168004310
1237aa4910
1321212aa8
14135a95a4
15b799c0c
hex7d0721c

131101212 has 96 divisors (see below), whose sum is σ = 363121920. Its totient is φ = 36357120.

The previous prime is 131101207. The next prime is 131101213. The reversal of 131101212 is 212101131.

It is a super-4 number, since 4×1311012124 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82239 + ... + 83817.

It is an arithmetic number, because the mean of its divisors is an integer number (3782520).

Almost surely, 2131101212 is an apocalyptic number.

131101212 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 131101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181560960).

131101212 is an abundant number, since it is smaller than the sum of its proper divisors (232020708).

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

131101212 is a wasteful number, since it uses less digits than its factorization.

131101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1649 counting only the distinct ones).

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

The square root of 131101212 is about 11449.9437553204. The cubic root of 131101212 is about 508.0060707729.

Adding to 131101212 its reverse (212101131), we get a palindrome (343202343).

The spelling of 131101212 in words is "one hundred thirty-one million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 37 44 51 66 68 74 102 111 132 148 187 204 222 374 407 444 561 629 748 814 1122 1221 1258 1579 1628 1887 2244 2442 2516 3158 3774 4737 4884 6316 6919 7548 9474 13838 17369 18948 20757 26843 27676 34738 41514 52107 53686 58423 69476 80529 83028 104214 107372 116846 161058 175269 208428 233692 295273 322116 350538 590546 642653 701076 885819 993191 1181092 1285306 1771638 1927959 1986382 2570612 2979573 3543276 3855918 3972764 5959146 7711836 10925101 11918292 21850202 32775303 43700404 65550606 131101212