Search a number
-
+
1021322022 = 237171519473
BaseRepresentation
bin111100111000000…
…010001100100110
32122011210112102120
4330320002030212
54042424301042
6245202250410
734211044140
oct7470021446
92564715376
101021322022
11484567396
12246056a06
13133794276
14998dbc90
155e9e3dec
hex3ce02326

1021322022 has 64 divisors (see below), whose sum is σ = 2488402944. Its totient is φ = 272793600.

The previous prime is 1021322017. The next prime is 1021322047. The reversal of 1021322022 is 2202231201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1021321992 and 1021322010.

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 31 ways as a sum of consecutive naturals, for example, 103078 + ... + 112550.

It is an arithmetic number, because the mean of its divisors is an integer number (38881296).

Almost surely, 21021322022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021322022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244201472).

1021322022 is an abundant number, since it is smaller than the sum of its proper divisors (1467080922).

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

1021322022 is a wasteful number, since it uses less digits than its factorization.

1021322022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1021322022 is about 31958.1292005649. The cubic root of 1021322022 is about 1007.0574163710.

Adding to 1021322022 its reverse (2202231201), we get a palindrome (3223553223).

The spelling of 1021322022 in words is "one billion, twenty-one million, three hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 151 238 302 357 453 714 906 1057 2114 2567 3171 5134 6342 7701 9473 15402 17969 18946 28419 35938 53907 56838 66311 107814 132622 161041 198933 322082 397866 483123 966246 1127287 1430423 2254574 2860846 3381861 4291269 6763722 8582538 10012961 20025922 24317191 30038883 48634382 60077766 72951573 145903146 170220337 340440674 510661011 1021322022