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202220121121020 = 223251591370599203
BaseRepresentation
bin101101111110101100001010…
…011111000110000011111100
3222112000001110221012110002100
4231332230022133012003330
5203001133302001333040
61554030350254025100
760410631054424152
oct5576541237060374
9875001427173070
10202220121121020
1159485087561372
121a81b7454a8190
1388ab377647292
1437d17129a93d2
15185a321bd4b30
hexb7eb0a7c60fc

202220121121020 has 72 divisors (see below), whose sum is σ = 613439589920976. Its totient is φ = 53921976106752.

The previous prime is 202220121120991. The next prime is 202220121121033. The reversal of 202220121121020 is 20121121022202.

It is a happy number.

202220121121020 is a `hidden beast` number, since 2 + 0 + 2 + 220 + 1 + 211 + 210 + 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 = 202220121120984 and 202220121121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32435262 + ... + 38163941.

It is an arithmetic number, because the mean of its divisors is an integer number (8519994304458).

Almost surely, 2202220121121020 is an apocalyptic number.

202220121121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202220121121020 is an abundant number, since it is smaller than the sum of its proper divisors (411219468799956).

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

202220121121020 is a wasteful number, since it uses less digits than its factorization.

202220121121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70615131 (or 70615126 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202220121121020 its reverse (20121121022202), we get a palindrome (222341242143222).

The spelling of 202220121121020 in words is "two hundred two trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15913 31826 47739 63652 79565 95478 143217 159130 190956 238695 286434 318260 477390 572868 716085 954780 1432170 2864340 70599203 141198406 211797609 282396812 352996015 423595218 635392827 705992030 847190436 1058988045 1270785654 1411984060 2117976090 2541571308 3176964135 4235952180 6353928270 12707856540 1123445117339 2246890234678 3370335352017 4493780469356 5617225586695 6740670704034 10111006056051 11234451173390 13481341408068 16851676760085 20222012112102 22468902346780 33703353520170 40444024224204 50555030280255 67406707040340 101110060560510 202220121121020