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13120342001010 = 233571684420553
BaseRepresentation
bin1011111011101101000101…
…0100110000010101110010
31201110021220012012120222000
42332323101110300111302
53204430430023013020
643523222451154430
72522625206624316
oct276732124602562
951407805176860
1013120342001010
1141a9340016282
12157a987ba5a16
13742320987b3a
14335056955b46
1517b454696090
hexbeed1530572

13120342001010 has 64 divisors (see below), whose sum is σ = 35480361519360. Its totient is φ = 3449479582080.

The previous prime is 13120342000963. The next prime is 13120342001027. The reversal of 13120342001010 is 1010024302131.

13120342001010 is a `hidden beast` number, since 1 + 31 + 203 + 420 + 0 + 1 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 342191107 + ... + 342229446.

It is an arithmetic number, because the mean of its divisors is an integer number (554380648740).

Almost surely, 213120342001010 is an apocalyptic number.

13120342001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13120342001010 is an abundant number, since it is smaller than the sum of its proper divisors (22360019518350).

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

13120342001010 is a wasteful number, since it uses less digits than its factorization.

13120342001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684420640 (or 684420634 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13120342001010 its reverse (1010024302131), we get a palindrome (14130366303141).

The spelling of 13120342001010 in words is "thirteen trillion, one hundred twenty billion, three hundred forty-two million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 710 1065 1278 1917 2130 3195 3834 6390 9585 19170 684420553 1368841106 2053261659 3422102765 4106523318 6159784977 6844205530 10266308295 12319569954 18479354931 20532616590 30798924885 36958709862 48593859263 61597849770 92396774655 97187718526 145781577789 184793549310 242969296315 291563155578 437344733367 485938592630 728907888945 874689466734 1312034200101 1457815777890 2186723666835 2624068400202 4373447333670 6560171000505 13120342001010