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10220121220020 = 2235476159412401
BaseRepresentation
bin1001010010111000111010…
…1100011110001110110100
31100012000220211010211011220
42110232032230132032310
52314421302013020040
633423020414430340
72103244063010325
oct224561654361664
940160824124156
1010220121220020
113290368a99678
121190889b023b0
135919a3cb563a
1427492964c44c
1512acaeaca2d0
hex94b8eb1e3b4

10220121220020 has 96 divisors (see below), whose sum is σ = 29704299803136. Its totient is φ = 2623651584000.

The previous prime is 10220121219961. The next prime is 10220121220027. The reversal of 10220121220020 is 2002212102201.

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 (10220121220027) 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, 29534181 + ... + 29878220.

It is an arithmetic number, because the mean of its divisors is an integer number (309419789616).

Almost surely, 210220121220020 is an apocalyptic number.

10220121220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220121220020 is an abundant number, since it is smaller than the sum of its proper divisors (19484178583116).

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

10220121220020 is a wasteful number, since it uses less digits than its factorization.

10220121220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59412521 (or 59412519 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220121220020 its reverse (2002212102201), we get a palindrome (12222333322221).

The spelling of 10220121220020 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 61 94 122 141 183 188 235 244 282 305 366 470 564 610 705 732 915 940 1220 1410 1830 2820 2867 3660 5734 8601 11468 14335 17202 28670 34404 43005 57340 86010 172020 59412401 118824802 178237203 237649604 297062005 356474406 594124010 712948812 891186015 1188248020 1782372030 2792382847 3564744060 3624156461 5584765694 7248312922 8377148541 10872469383 11169531388 13961914235 14496625844 16754297082 18120782305 21744938766 27923828470 33508594164 36241564610 41885742705 43489877532 54362346915 55847656940 72483129220 83771485410 108724693830 167542970820 170335353667 217449387660 340670707334 511006061001 681341414668 851676768335 1022012122002 1703353536670 2044024244004 2555030305005 3406707073340 5110060610010 10220121220020