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220101010020 = 22345433159647
BaseRepresentation
bin1100110011111100001…
…0101110001001100100
3210001010012212210110000
43030333002232021210
512101231324310040
6245040224301300
721621210500523
oct3147702561144
9701105783400
10220101010020
1185387311581
12367a7471830
13179a8902248
14a91d97c4ba
155ad2ee4130
hex333f0ae264

220101010020 has 120 divisors (see below), whose sum is σ = 706522569984. Its totient is φ = 57328617024.

The previous prime is 220101009991. The next prime is 220101010043. The reversal of 220101010020 is 20010101022.

220101010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2201010100202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220101009984 and 220101010011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1510164 + ... + 1649483.

Almost surely, 2220101010020 is an apocalyptic number.

220101010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101010020 is an abundant number, since it is smaller than the sum of its proper divisors (486421559964).

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

220101010020 is a wasteful number, since it uses less digits than its factorization.

220101010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159711 (or 3159700 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220101010020 its reverse (20010101022), we get a palindrome (240111111042).

The spelling of 220101010020 in words is "two hundred twenty billion, one hundred one million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 258 270 324 387 405 430 516 540 645 774 810 860 1161 1290 1548 1620 1935 2322 2580 3483 3870 4644 5805 6966 7740 11610 13932 17415 23220 34830 69660 3159647 6319294 9478941 12638588 15798235 18957882 28436823 31596470 37915764 47394705 56873646 63192940 85310469 94789410 113747292 135864821 142184115 170620938 189578820 255931407 271729642 284368230 341241876 407594463 426552345 511862814 543459284 568736460 679324105 815188926 853104690 1023725628 1222783389 1279657035 1358648210 1630377852 1706209380 2037972315 2445566778 2559314070 2717296420 3668350167 4075944630 4891133556 5118628140 6113916945 7336700334 8151889260 11005050501 12227833890 14673400668 18341750835 22010101002 24455667780 36683501670 44020202004 55025252505 73367003340 110050505010 220101010020