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330000100023 = 3111910113139779
BaseRepresentation
bin1001100110101011000…
…10011110101010110111
31011112210021102000022210
410303111202132222313
520401320011200043
6411333331224503
732561465365656
oct4632542365267
91145707360283
10330000100023
11117a524a94a0
1253b58448133
132517122a399
1411d875b519d
1588b6307633
hex4cd589eab7

330000100023 has 64 divisors (see below), whose sum is σ = 514174003200. Its totient is φ = 186161040000.

The previous prime is 330000099941. The next prime is 330000100117. The reversal of 330000100023 is 320001000033.

It is a happy number.

It is not a de Polignac number, because 330000100023 - 234 = 312820230839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330000099981 and 330000100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330000101023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8275948 + ... + 8315726.

It is an arithmetic number, because the mean of its divisors is an integer number (8033968800).

Almost surely, 2330000100023 is an apocalyptic number.

330000100023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

330000100023 is a deficient number, since it is larger than the sum of its proper divisors (184173903177).

330000100023 is a wasteful number, since it uses less digits than its factorization.

330000100023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40044.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 330000100023 its reverse (320001000033), we get a palindrome (650001100056).

The spelling of 330000100023 in words is "three hundred thirty billion, one hundred thousand, twenty-three".

Divisors: 1 3 11 19 33 57 101 131 209 303 393 627 1111 1441 1919 2489 3333 4323 5757 7467 13231 21109 27379 39693 39779 63327 82137 119337 145541 251389 436623 437569 754167 755801 1312707 2267403 2765279 4017679 5211049 8295837 8313811 12053037 15633147 24941433 44194469 57321539 76335901 99009931 132583407 171964617 229007703 297029793 526315949 839694911 1089109241 1578947847 2519084733 3267327723 5789475439 10000003031 17368426317 30000009093 110000033341 330000100023