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20130132320010 = 23255914869254959
BaseRepresentation
bin1001001001110111010010…
…11000101101111100001010
32122021102101112101022012200
410210323221120231330022
510114303002333220020
6110451353301221030
74145232305341566
oct444735130557412
978242345338180
1020130132320010
1164611609a3149
122311430701776
13b3035670701b
144d843712c6a6
1524d96e635590
hex124ee962df0a

20130132320010 has 96 divisors (see below), whose sum is σ = 53229223008000. Its totient is φ = 5276676037248.

The previous prime is 20130132319937. The next prime is 20130132320029. The reversal of 20130132320010 is 1002323103102.

20130132320010 is a `hidden beast` number, since 2 + 0 + 1 + 301 + 32 + 320 + 0 + 10 = 666.

It is a super-2 number, since 2×201301323200102 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 78826911 + ... + 79081869.

It is an arithmetic number, because the mean of its divisors is an integer number (554471073000).

Almost surely, 220130132320010 is an apocalyptic number.

20130132320010 is an abundant number, since it is smaller than the sum of its proper divisors (33099090687990).

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

20130132320010 is a wasteful number, since it uses less digits than its factorization.

20130132320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269900 (or 269897 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20130132320010 its reverse (1002323103102), we get a palindrome (21132455423112).

The spelling of 20130132320010 in words is "twenty trillion, one hundred thirty billion, one hundred thirty-two million, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 5310 14869 29738 44607 74345 89214 133821 148690 223035 254959 267642 446070 509918 669105 764877 877271 1274795 1338210 1529754 1754542 2294631 2549590 2631813 3824385 4386355 4589262 5263626 7648770 7895439 8772710 11473155 13159065 15042581 15790878 22946310 26318130 30085162 39477195 45127743 75212905 78954390 90255486 135383229 150425810 225638715 270766458 451277430 676916145 1353832290 3790985371 7581970742 11372956113 18954926855 22745912226 34118868339 37909853710 56864780565 68237736678 113729561130 170594341695 223668136889 341188683390 447336273778 671004410667 1118340684445 1342008821334 2013013232001 2236681368890 3355022053335 4026026464002 6710044106670 10065066160005 20130132320010