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10324115412135 = 357997198749633
BaseRepresentation
bin1001011000111100010100…
…1110110101010010100111
31100112222100100120010221220
42112033011032311102213
52323122242021142020
633542455543111423
72113615130032650
oct226170516652247
940488310503856
1010324115412135
113320484001398
1211a8a71442573
1359b738162065
14279992d50527
1512d8497de240
hex963c53b54a7

10324115412135 has 64 divisors (see below), whose sum is σ = 18907209065472. Its totient is φ = 4712394018816.

The previous prime is 10324115412131. The next prime is 10324115412173. The reversal of 10324115412135 is 53121451142301.

It is not a de Polignac number, because 10324115412135 - 22 = 10324115412131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10324115412096 and 10324115412105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10324115412131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207984279 + ... + 208033911.

It is an arithmetic number, because the mean of its divisors is an integer number (295425141648).

Almost surely, 210324115412135 is an apocalyptic number.

10324115412135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10324115412135 is a deficient number, since it is larger than the sum of its proper divisors (8583093653337).

10324115412135 is a wasteful number, since it uses less digits than its factorization.

10324115412135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52632.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 10324115412135 its reverse (53121451142301), we get a palindrome (63445566554436).

The spelling of 10324115412135 in words is "ten trillion, three hundred twenty-four billion, one hundred fifteen million, four hundred twelve thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 105 997 1987 2991 4985 5961 6979 9935 13909 14955 20937 29805 34895 41727 49633 69545 104685 148899 208635 248165 347431 744495 1042293 1737155 1981039 5211465 5943117 9905195 13867273 29715585 41601819 49484101 69336365 98620771 148452303 208009095 247420505 295862313 346388707 493103855 690345397 742261515 1039166121 1479311565 1731943535 2071036191 3451726985 5195830605 10355180955 98324908687 294974726061 491624543435 688274360809 1474873630305 2064823082427 3441371804045 10324115412135