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211304323128 = 23331467608161
BaseRepresentation
bin1100010011001010111…
…0000001100000111000
3202012102011100210120210
43010302232001200320
511430222401320003
6241023304551120
721160214053203
oct3046256014070
9665364323523
10211304323128
1181682866508
1234b514824a0
1316c062c9282
14a32756c93a
15576aac8503
hex3132b81838

211304323128 has 64 divisors (see below), whose sum is σ = 546470046720. Its totient is φ = 68016614400.

The previous prime is 211304323121. The next prime is 211304323129. The reversal of 211304323128 is 821323403112.

It is a junction number, because it is equal to n+sod(n) for n = 211304323095 and 211304323104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211304323121) 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, 43368 + ... + 651528.

It is an arithmetic number, because the mean of its divisors is an integer number (8538594480).

Almost surely, 2211304323128 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 211304323128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273235023360).

211304323128 is an abundant number, since it is smaller than the sum of its proper divisors (335165723592).

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

211304323128 is a wasteful number, since it uses less digits than its factorization.

211304323128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608668 (or 608664 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 211304323128 in words is "two hundred eleven billion, three hundred four million, three hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 467 744 934 1401 1868 2802 3736 5604 11208 14477 28954 43431 57908 86862 115816 173724 347448 608161 1216322 1824483 2432644 3648966 4865288 7297932 14595864 18852991 37705982 56558973 75411964 113117946 150823928 226235892 284011187 452471784 568022374 852033561 1136044748 1704067122 2272089496 3408134244 6816268488 8804346797 17608693594 26413040391 35217387188 52826080782 70434774376 105652161564 211304323128