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1021313436 = 223111323113229
BaseRepresentation
bin111100111000000…
…000000110011100
32122011210002122120
4330320000012130
54042424012221
6245202142540
734211010123
oct7470000634
92564702576
101021313436
114845609a0
12246051a50
131337903a0
14998d8aba
155e9e15c6
hex3ce0019c

1021313436 has 192 divisors, whose sum is σ = 2960133120. Its totient is φ = 269660160.

The previous prime is 1021313429. The next prime is 1021313443. The reversal of 1021313436 is 6343131201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1021313429) and next prime (1021313443).

It is a super-2 number, since 2×10213134362 = 2086162269108252192, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4459770 + ... + 4459998.

It is an arithmetic number, because the mean of its divisors is an integer number (15417360).

Almost surely, 21021313436 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 1021313436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480066560).

1021313436 is an abundant number, since it is smaller than the sum of its proper divisors (1938819684).

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

1021313436 is a wasteful number, since it uses less digits than its factorization.

1021313436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1021313436 is about 31957.9948682642. The cubic root of 1021313436 is about 1007.0545943360.

Adding to 1021313436 its reverse (6343131201), we get a palindrome (7364444637).

The spelling of 1021313436 in words is "one billion, twenty-one million, three hundred thirteen thousand, four hundred thirty-six".