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1023001002 = 234191272617
BaseRepresentation
bin111100111110011…
…100000110101010
32122021221211120000
4330332130012222
54043342013002
6245302243430
734231236132
oct7476340652
92567854500
101023001002
11485503881
12246726576
13133c3154a
1499c17ac2
155ec2661c
hex3cf9c1aa

1023001002 has 80 divisors (see below), whose sum is σ = 2432855040. Its totient is φ = 320386752.

The previous prime is 1023000973. The next prime is 1023001009. The reversal of 1023001002 is 2001003201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1023001009) 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 39 ways as a sum of consecutive naturals, for example, 389598 + ... + 392214.

It is an arithmetic number, because the mean of its divisors is an integer number (30410688).

Almost surely, 21023001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216427520).

1023001002 is an abundant number, since it is smaller than the sum of its proper divisors (1409854038).

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

1023001002 is a wasteful number, since it uses less digits than its factorization.

1023001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1023001002 is about 31984.3868473354. The cubic root of 1023001002 is about 1007.6089575878.

Adding to 1023001002 its reverse (2001003201), we get a palindrome (3024004203).

The spelling of 1023001002 in words is "one billion, twenty-three million, one thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 127 162 171 254 342 381 513 762 1026 1143 1539 2286 2413 2617 3078 3429 4826 5234 6858 7239 7851 10287 14478 15702 20574 21717 23553 43434 47106 49723 65151 70659 99446 130302 141318 149169 195453 211977 298338 332359 390906 423954 447507 664718 895014 997077 1342521 1994154 2685042 2991231 4027563 5982462 6314821 8055126 8973693 12629642 17947386 18944463 26921079 37888926 53842158 56833389 113666778 170500167 341000334 511500501 1023001002