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200312202321 = 32721167616313
BaseRepresentation
bin1011101010001110001…
…0011010010001010001
3201011001002202012120100
42322203202122101101
511240214410433241
6232004441403013
720320631424600
oct2724342322121
9634032665510
10200312202321
1177a5201a450
12329a4199469
1315b73c0008a
1499a374da37
155325a939b6
hex2ea389a451

200312202321 has 72 divisors (see below), whose sum is σ = 372657957984. Its totient is φ = 102505011840.

The previous prime is 200312202271. The next prime is 200312202323. The reversal of 200312202321 is 123202213002.

It is not a de Polignac number, because 200312202321 - 213 = 200312194129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200312202294 and 200312202303.

It is not an unprimeable number, because it can be changed into a prime (200312202323) 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 71 ways as a sum of consecutive naturals, for example, 16861 + ... + 633173.

It is an arithmetic number, because the mean of its divisors is an integer number (5175804972).

Almost surely, 2200312202321 is an apocalyptic number.

200312202321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200312202321 is a deficient number, since it is larger than the sum of its proper divisors (172345755663).

200312202321 is a wasteful number, since it uses less digits than its factorization.

200312202321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616411 (or 616401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200312202321 its reverse (123202213002), we get a palindrome (323514415323).

The spelling of 200312202321 in words is "two hundred billion, three hundred twelve million, two hundred two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 67 77 99 147 201 231 441 469 539 603 693 737 1407 1617 2211 3283 4221 4851 5159 6633 9849 15477 29547 36113 46431 108339 325017 616313 1848939 4314191 5546817 6779443 12942573 20338329 30199337 38827719 41292971 47456101 61014987 90598011 123878913 142368303 271794033 289050797 332192707 371636739 427104909 454222681 867152391 996578121 1362668043 2023355579 2601457173 2989734363 3179558767 4088004129 6070066737 9538676301 18210200211 22256911369 28616028903 66770734107 200312202321