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10533023325 = 355211163967
BaseRepresentation
bin10011100111101000…
…10010111001011101
31000012001202000200000
421303310102321131
5133032423221300
64501103124513
7522006135546
oct116364227135
930161660600
1010533023325
114515687360
12205b5a3739
13cbb2656a6
1471cc734cd
15419a9ac00
hex273d12e5d

10533023325 has 144 divisors (see below), whose sum is σ = 21496290816. Its totient is φ = 5070340800.

The previous prime is 10533023309. The next prime is 10533023339. The reversal of 10533023325 is 52332033501.

10533023325 is a `hidden beast` number, since 1 + 0 + 5 + 330 + 2 + 3 + 325 = 666.

It is not a de Polignac number, because 10533023325 - 24 = 10533023309 is a prime.

It is a super-2 number, since 2×105330233252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10891992 + ... + 10892958.

Almost surely, 210533023325 is an apocalyptic number.

10533023325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10533023325 is an abundant number, since it is smaller than the sum of its proper divisors (10963267491).

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

10533023325 is a wasteful number, since it uses less digits than its factorization.

10533023325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 10533023325 its reverse (52332033501), we get a palindrome (62865056826).

The spelling of 10533023325 in words is "ten billion, five hundred thirty-three million, twenty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 163 165 225 243 275 297 405 489 495 675 815 825 891 967 1215 1467 1485 1793 2025 2445 2475 2673 2901 4075 4401 4455 4835 5379 6075 7335 7425 8703 8965 10637 12225 13203 13365 14505 16137 22005 22275 24175 26109 26895 31911 36675 39609 43515 44825 48411 53185 66015 66825 72525 78327 80685 95733 110025 130545 134475 145233 157621 159555 198045 217575 234981 242055 265925 287199 330075 391635 403425 435699 472863 478665 652725 726165 788105 797775 861597 990225 1174905 1210275 1418589 1435995 1733831 1958175 2178495 2364315 2393325 2584791 3630825 3940525 4255767 4307985 5201493 5874525 7092945 7179975 8669155 10892475 11821575 12767301 12923955 15604479 21278835 21539925 26007465 35464725 38301903 43345775 46813437 63836505 64619775 78022395 106394175 130037325 140440311 191509515 234067185 319182525 390111975 421320933 702201555 957547575 1170335925 2106604665 3511007775 10533023325