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1213011296 = 25710949681
BaseRepresentation
bin100100001001101…
…0001010101100000
310010112111100200022
41020103101111200
54441012330141
6320211013012
742026266040
oct11023212540
93115440608
101213011296
11572793382
1229a29a168
131643cb883
14b7159720
157175ab4b
hex484d1560

1213011296 has 48 divisors (see below), whose sum is σ = 2754370080. Its totient is φ = 515082240.

The previous prime is 1213011277. The next prime is 1213011301. The reversal of 1213011296 is 6921103121.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 425 + ... + 49256.

It is an arithmetic number, because the mean of its divisors is an integer number (57382710).

Almost surely, 21213011296 is an apocalyptic number.

1213011296 is a gapful number since it is divisible by the number (16) 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 1213011296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377185040).

1213011296 is an abundant number, since it is smaller than the sum of its proper divisors (1541358784).

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

1213011296 is a wasteful number, since it uses less digits than its factorization.

1213011296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49807 (or 49799 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 1213011296 is about 34828.3117018325. The cubic root of 1213011296 is about 1066.4854834622.

The spelling of 1213011296 in words is "one billion, two hundred thirteen million, eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 872 1526 1744 3052 3488 6104 12208 24416 49681 99362 198724 347767 397448 695534 794896 1391068 1589792 2782136 5415229 5564272 10830458 11128544 21660916 37906603 43321832 75813206 86643664 151626412 173287328 303252824 606505648 1213011296