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1003214212 = 22711131913187
BaseRepresentation
bin111011110010111…
…101010110000100
32120220201120011221
4323302331112010
54023310323322
6243314210124
733601115530
oct7362752604
92526646157
101003214212
11475319760
1223bb83944
1312cac41a0
1497346bc0
155d1189c7
hex3bcbd584

1003214212 has 96 divisors (see below), whose sum is σ = 2481454080. Its totient is φ = 341781120.

The previous prime is 1003214099. The next prime is 1003214213. The reversal of 1003214212 is 2124123001.

It is not an unprimeable number, because it can be changed into a prime (1003214213) 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, 69483 + ... + 82669.

It is an arithmetic number, because the mean of its divisors is an integer number (25848480).

Almost surely, 21003214212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003214212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240727040).

1003214212 is an abundant number, since it is smaller than the sum of its proper divisors (1478239868).

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

1003214212 is a wasteful number, since it uses less digits than its factorization.

1003214212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13241 (or 13239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1003214212 is about 31673.5569837049. The cubic root of 1003214212 is about 1001.0702581389.

Adding to 1003214212 its reverse (2124123001), we get a palindrome (3127337213).

The spelling of 1003214212 in words is "one billion, three million, two hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 364 418 494 532 572 836 988 1001 1463 1729 2002 2717 2926 3458 4004 5434 5852 6916 10868 13187 19019 26374 38038 52748 76076 92309 145057 171431 184618 250553 290114 342862 369236 501106 580228 685724 1002212 1015399 1200017 1753871 1885741 2030798 2400034 2756083 3257189 3507742 3771482 4061596 4800068 5512166 6514378 7015484 7542964 11024332 13028756 13200187 19292581 22800323 26400374 35829079 38585162 45600646 52800748 71658158 77170324 91201292 143316316 250803553 501607106 1003214212