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220110121201020 = 22357377267650387
BaseRepresentation
bin110010000011000001100001…
…100101011110110101111100
31001212100022200210120012010220
4302003001201211132311330
5212322241012011413040
62100045105503101340
764235300665162551
oct6203014145366574
91055308623505126
10220110121201020
11641521a6182626
122082a9962a1850
1395a83abbc729b
143c4d55b1b4a28
151a6a8819ae2d0
hexc8306195ed7c

220110121201020 has 96 divisors (see below), whose sum is σ = 624759965561088. Its totient is φ = 57891138826752.

The previous prime is 220110121200997. The next prime is 220110121201021. The reversal of 220110121201020 is 20102121011022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220110121201021) 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, 338104267 + ... + 338754653.

It is an arithmetic number, because the mean of its divisors is an integer number (6507916307928).

Almost surely, 2220110121201020 is an apocalyptic number.

220110121201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220110121201020 is an abundant number, since it is smaller than the sum of its proper divisors (404649844360068).

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

220110121201020 is a wasteful number, since it uses less digits than its factorization.

220110121201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727739 (or 727737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220110121201020 its reverse (20102121011022), we get a palindrome (240212242212042).

The spelling of 220110121201020 in words is "two hundred twenty trillion, one hundred ten billion, one hundred twenty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 77267 154534 231801 309068 386335 463602 650387 772670 927204 1159005 1300774 1545340 1951161 2318010 2601548 3251935 3902322 4636020 5640491 6503870 7804644 9755805 11280982 13007740 16921473 19511610 22561964 28202455 33842946 39023220 47478251 56404910 67685892 84607365 94956502 112809820 142434753 169214730 189913004 237391255 284869506 338429460 474782510 569739012 712173765 949565020 1424347530 2848695060 50253452329 100506904658 150760356987 201013809316 251267261645 301520713974 502534523290 603041427948 753801784935 1005069046580 1507603569870 3015207139740 3668502020017 7337004040034 11005506060051 14674008080068 18342510100085 22011012120102 36685020200170 44022024240204 55027530300255 73370040400340 110055060600510 220110121201020