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1003214214 = 233101419439
BaseRepresentation
bin111011110010111…
…101010110000110
32120220201120012000
4323302331112012
54023310323324
6243314210130
733601115532
oct7362752606
92526646160
101003214214
11475319762
1223bb83946
1312cac41a2
1497346bc2
155d1189c9
hex3bcbd586

1003214214 has 64 divisors (see below), whose sum is σ = 2261952000. Its totient is φ = 329551200.

The previous prime is 1003214213. The next prime is 1003214239. The reversal of 1003214214 is 4124123001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003214213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2285007 + ... + 2285445.

It is an arithmetic number, because the mean of its divisors is an integer number (35343000).

Almost surely, 21003214214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003214214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130976000).

1003214214 is an abundant number, since it is smaller than the sum of its proper divisors (1258737786).

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

1003214214 is a wasteful number, since it uses less digits than its factorization.

1003214214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1003214214 is about 31673.5570152770. The cubic root of 1003214214 is about 1001.0702588041.

Adding to 1003214214 its reverse (4124123001), we get a palindrome (5127337215).

The spelling of 1003214214 in words is "one billion, three million, two hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 419 439 606 838 878 909 1257 1317 1818 2514 2634 2727 3771 3951 5454 7542 7902 11313 11853 22626 23706 42319 44339 84638 88678 126957 133017 183941 253914 266034 367882 380871 399051 551823 761742 798102 1103646 1142613 1197153 1655469 2285226 2394306 3310938 4966407 9932814 18578041 37156082 55734123 111468246 167202369 334404738 501607107 1003214214