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20133224325 = 355247107659
BaseRepresentation
bin10010110000000010…
…001001111110000101
31220222010012202200000
4102300002021332011
5312213101134300
613125444511513
71311630404004
oct226002117605
956863182600
1020133224325
1185a1753475
123a9a6ab599
131b8b181bb6
14d8dc84c3b
157cc7d4c00
hex4b0089f85

20133224325 has 144 divisors (see below), whose sum is σ = 38607528960. Its totient is φ = 10395241920.

The previous prime is 20133224311. The next prime is 20133224359. The reversal of 20133224325 is 52342233102.

20133224325 is a `hidden beast` number, since 2 + 0 + 1 + 332 + 2 + 4 + 325 = 666.

It is not a de Polignac number, because 20133224325 - 215 = 20133191557 is a prime.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30550846 + ... + 30551504.

It is an arithmetic number, because the mean of its divisors is an integer number (268107840).

Almost surely, 220133224325 is an apocalyptic number.

20133224325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20133224325 is a deficient number, since it is larger than the sum of its proper divisors (18474304635).

20133224325 is a wasteful number, since it uses less digits than its factorization.

20133224325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 20133224325 its reverse (52342233102), we get a palindrome (72475457427).

The spelling of 20133224325 in words is "twenty billion, one hundred thirty-three million, two hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 47 75 81 107 135 141 225 235 243 321 405 423 535 659 675 705 963 1175 1215 1269 1605 1977 2025 2115 2675 2889 3295 3525 3807 4815 5029 5931 6075 6345 8025 8667 9885 10575 11421 14445 15087 16475 17793 19035 24075 25145 26001 29655 30973 31725 43335 45261 49425 53379 57105 70513 72225 75435 88965 92919 95175 125725 130005 135783 148275 154865 160137 211539 216675 226305 266895 278757 285525 352565 377175 407349 444825 464595 634617 650025 678915 774325 800685 836271 1057695 1131525 1222047 1334475 1393785 1762825 1903851 2036745 2322975 2508813 3173085 3314111 3394575 4003425 4181355 5288475 5711553 6110235 6968925 7526439 9519255 9942333 10183725 12544065 15865425 16570555 17134659 20906775 28557765 29826999 30551175 37632195 47596275 49711665 62720325 82852775 85673295 89480997 142788825 149134995 188160975 248558325 268442991 428366475 447404985 745674975 805328973 1342214955 2237024925 4026644865 6711074775 20133224325