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1000201312 = 25118213461
BaseRepresentation
bin111011100111011…
…101110001100000
32120201001111021001
4323213131301200
54022022420222
6243125441344
733533366545
oct7347356140
92521044231
101000201312
11473651060
1223ab70254
1312c2aa9c6
1496ba0bcc
155cc20e27
hex3b9ddc60

1000201312 has 48 divisors (see below), whose sum is σ = 2151397584. Its totient is φ = 453952000.

The previous prime is 1000201297. The next prime is 1000201339. The reversal of 1000201312 is 2131020001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 287262 + ... + 290722.

It is an arithmetic number, because the mean of its divisors is an integer number (44820783).

Almost surely, 21000201312 is an apocalyptic number.

It is an amenable number.

1000201312 is an abundant number, since it is smaller than the sum of its proper divisors (1151196272).

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

1000201312 is a wasteful number, since it uses less digits than its factorization.

1000201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4295 counting only the distinct ones).

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

The square root of 1000201312 is about 31625.9594637064. The cubic root of 1000201312 is about 1000.0670994976.

Adding to 1000201312 its reverse (2131020001), we get a palindrome (3131221313).

The spelling of 1000201312 in words is "one billion, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 821 1642 3284 3461 6568 6922 9031 13136 13844 18062 26272 27688 36124 38071 55376 72248 76142 110752 144496 152284 288992 304568 609136 1218272 2841481 5682962 11365924 22731848 31256291 45463696 62512582 90927392 125025164 250050328 500100656 1000201312