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220020100020 = 2232571024717041
BaseRepresentation
bin1100110011101000111…
…0000100101110110100
3210000220120122010210100
43030322032010232310
512101100121200040
6245024214154100
721616205664360
oct3147216045664
9700816563710
10220020100020
1185345679706
1236784352930
1317994c138c6
14a912d1a2a0
155acad60b30
hex333a384bb4

220020100020 has 144 divisors (see below), whose sum is σ = 762855545088. Its totient is φ = 50282449920.

The previous prime is 220020100007. The next prime is 220020100021. The reversal of 220020100020 is 20001020022.

220020100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 220020099975 and 220020100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220020100021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12902700 + ... + 12919740.

It is an arithmetic number, because the mean of its divisors is an integer number (5297607952).

Almost surely, 2220020100020 is an apocalyptic number.

220020100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220020100020 is an abundant number, since it is smaller than the sum of its proper divisors (542835445068).

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

220020100020 is a wasteful number, since it uses less digits than its factorization.

220020100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27310 (or 27305 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 220020100020 its reverse (20001020022), we get a palindrome (240021120042).

The spelling of 220020100020 in words is "two hundred twenty billion, twenty million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 10247 17041 20494 30741 34082 40988 51123 51235 61482 68164 71729 85205 92223 102246 102470 119287 122964 143458 153369 153705 170410 184446 204492 204940 215187 238574 255615 286916 306738 307410 340820 357861 358645 368892 430374 461115 477148 511230 596435 613476 614820 645561 715722 717290 766845 860748 922230 1022460 1073583 1075935 1192870 1291122 1431444 1434580 1533690 1789305 1844460 2147166 2151870 2385740 2582244 3067380 3227805 3578610 4294332 4303740 5367915 6455610 7157220 10735830 12911220 21471660 174619127 349238254 523857381 698476508 873095635 1047714762 1222333889 1571572143 1746191270 2095429524 2444667778 2619286905 3143144286 3492382540 3667001667 4889335556 5238573810 6111669445 6286288572 7334003334 7857860715 10477147620 11001005001 12223338890 14668006668 15715721430 18335008335 22002010002 24446677780 31431442860 36670016670 44004020004 55005025005 73340033340 110010050010 220020100020