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131212608 = 2632343691
BaseRepresentation
bin1111101001000…
…10010101000000
3100010220021212020
413310202111000
5232042300413
621004201440
73152201022
oct764422500
9303807766
10131212608
116807aa7a
1237b39280
13212516c7
14135d8012
15b7bcc23
hex7d22540

131212608 has 112 divisors (see below), whose sum is σ = 371222016. Its totient is φ = 40803840.

The previous prime is 131212603. The next prime is 131212621. The reversal of 131212608 is 806212131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189543 + ... + 190233.

Almost surely, 2131212608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131212608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185611008).

131212608 is an abundant number, since it is smaller than the sum of its proper divisors (240009408).

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

131212608 is a wasteful number, since it uses less digits than its factorization.

131212608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 131212608 is about 11454.8072004726. The cubic root of 131212608 is about 508.1499133887.

Adding to 131212608 its reverse (806212131), we get a palindrome (937424739).

The spelling of 131212608 in words is "one hundred thirty-one million, two hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 129 138 172 184 192 258 276 344 368 516 552 688 691 736 989 1032 1104 1376 1382 1472 1978 2064 2073 2208 2752 2764 2967 3956 4128 4146 4416 5528 5934 7912 8256 8292 11056 11868 15824 15893 16584 22112 23736 29713 31648 31786 33168 44224 47472 47679 59426 63296 63572 66336 89139 94944 95358 118852 127144 132672 178278 189888 190716 237704 254288 356556 381432 475408 508576 683399 713112 762864 950816 1017152 1366798 1426224 1525728 1901632 2050197 2733596 2852448 3051456 4100394 5467192 5704896 8200788 10934384 16401576 21868768 32803152 43737536 65606304 131212608