Search a number
-
+
133412430025 = 52731831272333
BaseRepresentation
bin111110001000000000…
…0000010000011001001
3110202100202000122121001
41330100000002003021
54141212040230100
6141142215215001
712432040641640
oct1742000020311
9422322018531
10133412430025
1151641925336
1221a33677461
13c771b602b4
146658790357
15370c723d6a
hex1f100020c9

133412430025 has 96 divisors (see below), whose sum is σ = 199155253248. Its totient is φ = 86739206400.

The previous prime is 133412430001. The next prime is 133412430043. The reversal of 133412430025 is 520034214331.

It is a happy number.

It is not a de Polignac number, because 133412430025 - 27 = 133412429897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133412429975 and 133412430002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57183759 + ... + 57186091.

It is an arithmetic number, because the mean of its divisors is an integer number (2074533888).

Almost surely, 2133412430025 is an apocalyptic number.

It is an amenable number.

133412430025 is a deficient number, since it is larger than the sum of its proper divisors (65742823223).

133412430025 is a wasteful number, since it uses less digits than its factorization.

133412430025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 133412430025 its reverse (520034214331), we get a palindrome (653446644356).

The spelling of 133412430025 in words is "one hundred thirty-three billion, four hundred twelve million, four hundred thirty thousand, twenty-five".

Divisors: 1 5 7 25 31 35 83 127 155 175 217 415 581 635 775 889 1085 2075 2333 2573 2905 3175 3937 4445 5425 10541 11665 12865 14525 16331 18011 19685 22225 27559 52705 58325 64325 72323 73787 81655 90055 98425 137795 193639 263525 296291 326771 361615 368935 408275 450275 506261 688975 968195 1355473 1481455 1633855 1808075 1844675 2074037 2287397 2531305 4840975 6002809 6777365 7407275 8169275 9185021 10370185 11436985 12656525 24592153 30014045 33886825 42019663 45925105 51850925 57184925 64295147 122960765 150070225 172145071 210098315 229625525 321475735 614803825 762356743 860725355 1050491575 1607378675 3811783715 4303626775 5336497201 19058918575 26682486005 133412430025