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120011020102020 = 223573137199998367
BaseRepresentation
bin11011010010011000111110…
…001110001110100110000100
3120201220221102100001012222010
4123102120332032032212010
5111212230032121231040
61103124145043534220
734164336645412365
oct3322307616164604
9521827370035863
10120011020102020
113526a42a191a43
1211562b3398a370
1351c6cb5571cb8
14218c7c8893b6c
15dd1b66d65e80
hex6d263e38e984

120011020102020 has 96 divisors (see below), whose sum is σ = 343120400114688. Its totient is φ = 31334143997952.

The previous prime is 120011020101949. The next prime is 120011020102027. The reversal of 120011020102020 is 20201020110021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120011020101987 and 120011020102005.

It is not an unprimeable number, because it can be changed into a prime (120011020102027) 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 31 ways as a sum of consecutive naturals, for example, 99399124 + ... + 100599243.

It is an arithmetic number, because the mean of its divisors is an integer number (3574170834528).

Almost surely, 2120011020102020 is an apocalyptic number.

120011020102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011020102020 is an abundant number, since it is smaller than the sum of its proper divisors (223109380012668).

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

120011020102020 is a wasteful number, since it uses less digits than its factorization.

120011020102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199998589 (or 199998587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120011020102020 its reverse (20201020110021), we get a palindrome (140212040212041).

The spelling of 120011020102020 in words is "one hundred twenty trillion, eleven billion, twenty million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 137 146 219 274 292 365 411 438 548 685 730 822 876 1095 1370 1460 1644 2055 2190 2740 4110 4380 8220 10001 20002 30003 40004 50005 60006 100010 120012 150015 200020 300030 600060 199998367 399996734 599995101 799993468 999991835 1199990202 1999983670 2399980404 2999975505 3999967340 5999951010 11999902020 14599880791 27399776279 29199761582 43799642373 54799552558 58399523164 72999403955 82199328837 87599284746 109599105116 136998881395 145998807910 164398657674 175198569492 218998211865 273997762790 291997615820 328797315348 410996644185 437996423730 547995525580 821993288370 875992847460 1643986576740 2000183668367 4000367336734 6000551005101 8000734673468 10000918341835 12001102010202 20001836683670 24002204020404 30002755025505 40003673367340 60005510051010 120011020102020