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10221001001220 = 22351093379741047
BaseRepresentation
bin1001010010111100001100…
…1000100100100100000100
31100012010012010121100002210
42110233003020210210010
52314430102224014340
633423244003303420
72103304635016152
oct224570310444404
940163163540083
1010221001001220
11329077a671279
121190a9467ab70
13591ab4350129
142749b04243d2
1512ad11e61180
hex94bc3224904

10221001001220 has 96 divisors (see below), whose sum is σ = 28653228672768. Its totient is φ = 2722323082752.

The previous prime is 10221001001209. The next prime is 10221001001279. The reversal of 10221001001220 is 2210010012201.

It is a super-2 number, since 2×102210010012202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10221001001196 and 10221001001205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248986737 + ... + 249027783.

It is an arithmetic number, because the mean of its divisors is an integer number (298471132008).

Almost surely, 210221001001220 is an apocalyptic number.

10221001001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221001001220 is an abundant number, since it is smaller than the sum of its proper divisors (18432227671548).

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

10221001001220 is a wasteful number, since it uses less digits than its factorization.

10221001001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45949 (or 45947 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10221001001220 its reverse (2210010012201), we get a palindrome (12431011013421).

The spelling of 10221001001220 in words is "ten trillion, two hundred twenty-one billion, one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1093 2186 3279 3797 4372 5465 6558 7594 10930 11391 13116 15188 16395 18985 21860 22782 32790 37970 41047 45564 56955 65580 75940 82094 113910 123141 164188 205235 227820 246282 410470 492564 615705 820940 1231410 2462820 4150121 8300242 12450363 16600484 20750605 24900726 41501210 44864371 49801452 62251815 83002420 89728742 124503630 134593113 155855459 179457484 224321855 249007260 269186226 311710918 448643710 467566377 538372452 623421836 672965565 779277295 897287420 935132754 1345931130 1558554590 1870265508 2337831885 2691862260 3117109180 4675663770 9351327540 170350016687 340700033374 511050050061 681400066748 851750083435 1022100100122 1703500166870 2044200200244 2555250250305 3407000333740 5110500500610 10221001001220