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1021213000 = 23531516763
BaseRepresentation
bin111100110111100…
…111100101001000
32122011120222212201
4330313213211020
54042412304000
6245200045544
734210111243
oct7467474510
92564528781
101021213000
114844a2495
122460038b4
13133756762
14998b025a
155e9c196a
hex3cde7948

1021213000 has 64 divisors (see below), whose sum is σ = 2405819520. Its totient is φ = 405720000.

The previous prime is 1021212991. The next prime is 1021213031. The reversal of 1021213000 is 3121201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 147619 + ... + 154381.

It is an arithmetic number, because the mean of its divisors is an integer number (37590930).

Almost surely, 21021213000 is an apocalyptic number.

1021213000 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 1021213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202909760).

1021213000 is an abundant number, since it is smaller than the sum of its proper divisors (1384606520).

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

1021213000 is a wasteful number, since it uses less digits than its factorization.

1021213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1021213000 is about 31956.4234544481. The cubic root of 1021213000 is about 1007.0215819922.

Adding to 1021213000 its reverse (3121201), we get a palindrome (1024334201).

The spelling of 1021213000 in words is "one billion, twenty-one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 250 302 500 604 755 1000 1208 1510 3020 3775 6040 6763 7550 13526 15100 18875 27052 30200 33815 37750 54104 67630 75500 135260 151000 169075 270520 338150 676300 845375 1021213 1352600 1690750 2042426 3381500 4084852 5106065 6763000 8169704 10212130 20424260 25530325 40848520 51060650 102121300 127651625 204242600 255303250 510606500 1021213000