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10001321220 = 22351170121617
BaseRepresentation
bin10010101000010000…
…00000110100000100
3221211000020202111110
421110020000310010
5130440314234340
64332231005020
7502561553622
oct112410006404
927730222443
1010001321220
114272537730
121b31509770
13c35060967
146ac3c8512
153d806e680
hex254200d04

10001321220 has 96 divisors (see below), whose sum is σ = 30594485376. Its totient is φ = 2420992000.

The previous prime is 10001321191. The next prime is 10001321249. The reversal of 10001321220 is 2212310001.

It is an interprime number because it is at equal distance from previous prime (10001321191) and next prime (10001321249).

It is a super-2 number, since 2×100013212202 (a number of 21 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 = 10001321196 and 10001321205.

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, 451852 + ... + 473468.

It is an arithmetic number, because the mean of its divisors is an integer number (318692556).

Almost surely, 210001321220 is an apocalyptic number.

10001321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297242688).

10001321220 is an abundant number, since it is smaller than the sum of its proper divisors (20593164156).

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

10001321220 is a wasteful number, since it uses less digits than its factorization.

10001321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22341 (or 22339 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10001321220 its reverse (2212310001), we get a palindrome (12213631221).

The spelling of 10001321220 in words is "ten billion, one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 701 1402 2103 2804 3505 4206 7010 7711 8412 10515 14020 15422 21030 21617 23133 30844 38555 42060 43234 46266 64851 77110 86468 92532 108085 115665 129702 154220 216170 231330 237787 259404 324255 432340 462660 475574 648510 713361 951148 1188935 1297020 1426722 2377870 2853444 3566805 4755740 7133610 14267220 15153517 30307034 45460551 60614068 75767585 90921102 151535170 166688687 181842204 227302755 303070340 333377374 454605510 500066061 666754748 833443435 909211020 1000132122 1666886870 2000264244 2500330305 3333773740 5000660610 10001321220