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10233314325 = 32521313725537
BaseRepresentation
bin10011000011111001…
…11111110000010101
3222102011210020012200
421201330333300111
5131424212024300
64411235235113
7511406510433
oct114174776025
928364706180
1010233314325
114381491573
121b97148a99
13c7113a1a0
146d1137d53
153ed5e8200
hex261f3fc15

10233314325 has 72 divisors (see below), whose sum is σ = 19883784648. Its totient is φ = 5000970240.

The previous prime is 10233314323. The next prime is 10233314341. The reversal of 10233314325 is 52341333201.

10233314325 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 331 + 4 + 325 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1504896849 + 8728417476 = 38793^2 + 93426^2 .

It is not a de Polignac number, because 10233314325 - 21 = 10233314323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233314323) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 387957 + ... + 413493.

Almost surely, 210233314325 is an apocalyptic number.

10233314325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10233314325 is a deficient number, since it is larger than the sum of its proper divisors (9650470323).

10233314325 is a wasteful number, since it uses less digits than its factorization.

10233314325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25703 (or 25695 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 10233314325 its reverse (52341333201), we get a palindrome (62574647526).

The spelling of 10233314325 in words is "ten billion, two hundred thirty-three million, three hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 137 195 225 325 411 585 685 975 1233 1781 2055 2925 3425 5343 6165 8905 10275 16029 25537 26715 30825 44525 76611 80145 127685 133575 229833 331981 383055 400725 638425 995943 1149165 1659905 1915275 2987829 3498569 4979715 5745825 8299525 10495707 14939145 17492845 24898575 31487121 45481397 52478535 74695725 87464225 136444191 157435605 227406985 262392675 409332573 682220955 787178025 1137034925 2046662865 3411104775 10233314325