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10221221021220 = 223251110301501139
BaseRepresentation
bin1001010010111101000000…
…1111111000011000100100
31100012010202110121111210200
42110233100033320120210
52314431030040134340
633423321503150500
72103313246114656
oct224572017703044
940163673544720
1010221221021220
113290882888590
121190b362a5430
13591b1aac6991
142749d17386d6
1512ad26422330
hex94bd03f8624

10221221021220 has 144 divisors (see below), whose sum is σ = 33826300522560. Its totient is φ = 2477626272000.

The previous prime is 10221221021203. The next prime is 10221221021243. The reversal of 10221221021220 is 2212012212201.

It is a happy number.

10221221021220 is a `hidden beast` number, since 1 + 0 + 2 + 212 + 210 + 21 + 220 = 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 = 10221221021193 and 10221221021202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20145411 + ... + 20646549.

It is an arithmetic number, because the mean of its divisors is an integer number (234904864740).

Almost surely, 210221221021220 is an apocalyptic number.

10221221021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221221021220 is an abundant number, since it is smaller than the sum of its proper divisors (23605079501340).

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

10221221021220 is a wasteful number, since it uses less digits than its factorization.

10221221021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511466 (or 511461 counting only the distinct ones).

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

Adding to 10221221021220 its reverse (2212012212201), we get a palindrome (12433233233421).

The spelling of 10221221021220 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10301 20602 30903 41204 51505 61806 92709 103010 113311 123612 154515 185418 206020 226622 309030 339933 370836 453244 463545 501139 566555 618060 679866 927090 1002278 1019799 1133110 1359732 1503417 1699665 1854180 2004556 2039598 2266220 2505695 3006834 3399330 4079196 4510251 5011390 5098995 5512529 6013668 6798660 7517085 9020502 10022780 10197990 11025058 15034170 16537587 18041004 20395980 22050116 22551255 27562645 30068340 33075174 45102510 49612761 55125290 66150348 82687935 90205020 99225522 110250580 165375870 198451044 248063805 330751740 496127610 992255220 5162232839 10324465678 15486698517 20648931356 25811164195 30973397034 46460095551 51622328390 56784561229 61946794068 77433492585 92920191102 103244656780 113569122458 154866985170 170353683687 185840382204 227138244916 232300477755 283922806145 309733970340 340707367374 464600955510 511061051061 567845612290 681414734748 851768418435 929201911020 1022122102122 1135691224580 1703536836870 2044244204244 2555305255305 3407073673740 5110610510610 10221221021220