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1021314420 = 22365710007
BaseRepresentation
bin111100111000000…
…000010101110100
32122011210011000000
4330320000111310
54042424030140
6245202151300
734211013030
oct7470002564
92564704000
101021314420
11484561705
12246052530
13133790979
14998d91c0
155e9e1a30
hex3ce00574

1021314420 has 168 divisors, whose sum is σ = 3675417984. Its totient is φ = 233419968.

The previous prime is 1021314397. The next prime is 1021314439. The reversal of 1021314420 is 244131201.

1021314420 is a `hidden beast` number, since 10 + 213 + 1 + 442 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1021314393 and 1021314402.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 97057 + ... + 107063.

It is an arithmetic number, because the mean of its divisors is an integer number (21877488).

Almost surely, 21021314420 is an apocalyptic number.

1021314420 is a gapful number since it is divisible by the number (10) 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 1021314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837708992).

1021314420 is an abundant number, since it is smaller than the sum of its proper divisors (2654103564).

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

1021314420 is a wasteful number, since it uses less digits than its factorization.

1021314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1021314420 is about 31958.0102634692. The cubic root of 1021314420 is about 1007.0549177566.

Adding to 1021314420 its reverse (244131201), we get a palindrome (1265445621).

The spelling of 1021314420 in words is "one billion, twenty-one million, three hundred fourteen thousand, four hundred twenty".