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261312012 = 2232132831973
BaseRepresentation
bin11111001001101…
…00111000001100
3200012201000200200
433210310320030
51013343441022
641532453500
76322054413
oct1744647014
9605630620
10261312012
1112455a645
127361a290
13421a34c0
14269c247a
1517e1abac
hexf934e0c

261312012 has 72 divisors (see below), whose sum is σ = 714224784. Its totient is φ = 80078976.

The previous prime is 261311987. The next prime is 261312031. The reversal of 261312012 is 210213162.

261312012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131458 + ... + 133430.

Almost surely, 2261312012 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 261312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357112392).

261312012 is an abundant number, since it is smaller than the sum of its proper divisors (452912772).

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

261312012 is a wasteful number, since it uses less digits than its factorization.

261312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 261312012 is about 16165.1480661329. The cubic root of 261312012 is about 639.3222088719.

Adding to 261312012 its reverse (210213162), we get a palindrome (471525174).

The spelling of 261312012 in words is "two hundred sixty-one million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 283 468 566 849 1132 1698 1973 2547 3396 3679 3946 5094 5919 7358 7892 10188 11037 11838 14716 17757 22074 23676 25649 33111 35514 44148 51298 66222 71028 76947 102596 132444 153894 230841 307788 461682 558359 923364 1116718 1675077 2233436 3350154 5025231 6700308 7258667 10050462 14517334 20100924 21776001 29034668 43552002 65328003 87104004 130656006 261312012