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120011031313020 = 223251979336901441
BaseRepresentation
bin11011010010011000111110…
…111000111111101001111100
3120201220221110010010210120100
4123102120332320333221330
5111212230043004004040
61103124150124121100
734164340142614461
oct3322307670775174
9521827403123510
10120011031313020
113526a435549a31
1211562b37696190
1351c6cb7998b23
14218c7ca171668
15dd1b67d2cb30
hex6d263ee3fa7c

120011031313020 has 72 divisors (see below), whose sum is σ = 364217410917360. Its totient is φ = 31986770319360.

The previous prime is 120011031313013. The next prime is 120011031313021. The reversal of 120011031313020 is 20313130110021.

120011031313020 is a `hidden beast` number, since 1 + 200 + 1 + 1 + 0 + 313 + 130 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120011031312984 and 120011031313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011031313021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168094501 + ... + 168806940.

It is an arithmetic number, because the mean of its divisors is an integer number (5058575151630).

Almost surely, 2120011031313020 is an apocalyptic number.

120011031313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011031313020 is an abundant number, since it is smaller than the sum of its proper divisors (244206379604340).

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

120011031313020 is a wasteful number, since it uses less digits than its factorization.

120011031313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336903435 (or 336903430 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120011031313020 its reverse (20313130110021), we get a palindrome (140324161423041).

The spelling of 120011031313020 in words is "one hundred twenty trillion, eleven billion, thirty-one million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1979 3958 5937 7916 9895 11874 17811 19790 23748 29685 35622 39580 59370 71244 89055 118740 178110 356220 336901441 673802882 1010704323 1347605764 1684507205 2021408646 3032112969 3369014410 4042817292 5053521615 6064225938 6738028820 10107043230 12128451876 15160564845 20214086460 30321129690 60642259380 666727951739 1333455903478 2000183855217 2666911806956 3333639758695 4000367710434 6000551565651 6667279517390 8000735420868 10000919276085 12001103131302 13334559034780 20001838552170 24002206262604 30002757828255 40003677104340 60005515656510 120011031313020