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1023004212 = 2232327713381
BaseRepresentation
bin111100111110011…
…100111000110100
32122021221222221220
4330332130320310
54043342113322
6245302310340
734231251366
oct7476347064
92567858856
101023004212
1148550622a
122467283b0
13133c32b49
1499c18d36
155ec2755c
hex3cf9ce34

1023004212 has 48 divisors (see below), whose sum is σ = 2499971712. Its totient is φ = 324973440.

The previous prime is 1023004211. The next prime is 1023004253. The reversal of 1023004212 is 2124003201.

It is a junction number, because it is equal to n+sod(n) for n = 1023004191 and 1023004200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023004211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69762 + ... + 83142.

It is an arithmetic number, because the mean of its divisors is an integer number (52082744).

Almost surely, 21023004212 is an apocalyptic number.

1023004212 is a gapful number since it is divisible by the number (12) 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 1023004212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249985856).

1023004212 is an abundant number, since it is smaller than the sum of its proper divisors (1476967500).

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

1023004212 is a wasteful number, since it uses less digits than its factorization.

1023004212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13688 (or 13686 counting only the distinct ones).

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

The square root of 1023004212 is about 31984.4370280297. The cubic root of 1023004212 is about 1007.6100114875.

Adding to 1023004212 its reverse (2124003201), we get a palindrome (3147007413).

The spelling of 1023004212 in words is "one billion, twenty-three million, four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 277 554 831 1108 1662 3324 6371 12742 13381 19113 25484 26762 38226 40143 53524 76452 80286 160572 307763 615526 923289 1231052 1846578 3693156 3706537 7413074 11119611 14826148 22239222 44478444 85250351 170500702 255751053 341001404 511502106 1023004212