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20301102311220 = 22325456146635303
BaseRepresentation
bin1001001110110101101111…
…11111011110011100110100
32122212202200201120202010100
410213122313333132130310
510130103124142424340
6111102110405354100
74163464145314503
oct447326777363464
978782621522110
1020301102311220
116517716008045
12233a5a6108930
13b435025c22b3
1450281594083a
152531291d5830
hex1276b7fde734

20301102311220 has 144 divisors (see below), whose sum is σ = 61618338093312. Its totient is φ = 5410259205120.

The previous prime is 20301102311179. The next prime is 20301102311239. The reversal of 20301102311220 is 2211320110302.

20301102311220 is a `hidden beast` number, since 2 + 0 + 30 + 1 + 102 + 311 + 220 = 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 = 20301102311193 and 20301102311202.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3828227089 + ... + 3828232391.

It is an arithmetic number, because the mean of its divisors is an integer number (427905125648).

Almost surely, 220301102311220 is an apocalyptic number.

20301102311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20301102311220 is an abundant number, since it is smaller than the sum of its proper divisors (41317235782092).

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

20301102311220 is a wasteful number, since it uses less digits than its factorization.

20301102311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14542 (or 14537 counting only the distinct ones).

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

Adding to 20301102311220 its reverse (2211320110302), we get a palindrome (22512422421522).

The spelling of 20301102311220 in words is "twenty trillion, three hundred one billion, one hundred two million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4561 4663 5303 9122 9326 10606 13683 13989 15909 18244 18652 21212 22805 23315 26515 27366 27978 31818 41049 41967 45610 46630 47727 53030 54732 55956 63636 68415 69945 79545 82098 83934 91220 93260 95454 106060 136830 139890 159090 164196 167868 190908 205245 209835 238635 273660 279780 318180 410490 419670 477270 820980 839340 954540 21267943 24186983 24727889 42535886 48373966 49455778 63803829 72560949 74183667 85071772 96747932 98911556 106339715 120934915 123639445 127607658 145121898 148367334 191411487 212679430 217682847 222551001 241869830 247278890 255215316 290243796 296734668 319019145 362804745 370918335 382822974 425358860 435365694 445102002 483739660 494557780 638038290 725609490 741836670 765645948 870731388 890204004 957057435 1088414235 1112755005 1276076580 1451218980 1483673340 1914114870 2176828470 2225510010 3828229740 4353656940 4451020020 112783901729 225567803458 338351705187 451135606916 563919508645 676703410374 1015055115561 1127839017290 1353406820748 1691758525935 2030110231122 2255678034580 3383517051870 4060220462244 5075275577805 6767034103740 10150551155610 20301102311220