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1000213302 = 2311101227661
BaseRepresentation
bin111011100111100…
…000101100110110
32120201002002201010
4323213200230312
54022023311202
6243130013050
733533446524
oct7347405466
92521062633
101000213302
1147365a070
1223ab77186
1312c2b32ba
1496ba5314
155cc2476c
hex3b9e0b36

1000213302 has 64 divisors (see below), whose sum is σ = 2216947968. Its totient is φ = 298320000.

The previous prime is 1000213271. The next prime is 1000213303. The reversal of 1000213302 is 2033120001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000213303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1512852 + ... + 1513512.

It is an arithmetic number, because the mean of its divisors is an integer number (34639812).

Almost surely, 21000213302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000213302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108473984).

1000213302 is an abundant number, since it is smaller than the sum of its proper divisors (1216734666).

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

1000213302 is a wasteful number, since it uses less digits than its factorization.

1000213302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1000213302 is about 31626.1490226047. The cubic root of 1000213302 is about 1000.0710956120.

Adding to 1000213302 its reverse (2033120001), we get a palindrome (3033333303).

The spelling of 1000213302 in words is "one billion, two hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 202 227 303 454 606 661 681 1111 1322 1362 1983 2222 2497 3333 3966 4994 6666 7271 7491 14542 14982 21813 22927 43626 45854 66761 68781 133522 137562 150047 200283 252197 300094 400566 450141 504394 734371 756591 900282 1468742 1513182 1650517 2203113 3301034 4406226 4951551 9903102 15154747 30309494 45464241 90928482 166702217 333404434 500106651 1000213302