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10211201122220 = 2257434721359291
BaseRepresentation
bin1001010010010111101100…
…0000111111111110101100
31100011011220011101220101022
42110211323000333332230
52314300014441402340
633414543330033312
72102510040304310
oct224457300777654
940134804356338
1010211201122220
11328760091211a
12118abba718838
13590bb1c60067
14274320ab5b40
1512a93b9333b5
hex9497b03ffac

10211201122220 has 96 divisors (see below), whose sum is σ = 25082191766016. Its totient is φ = 3418831180800.

The previous prime is 10211201122189. The next prime is 10211201122267. The reversal of 10211201122220 is 2222110211201.

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, 28240775 + ... + 28600065.

It is an arithmetic number, because the mean of its divisors is an integer number (261272830896).

Almost surely, 210211201122220 is an apocalyptic number.

10211201122220 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 10211201122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541095883008).

10211201122220 is an abundant number, since it is smaller than the sum of its proper divisors (14870990643796).

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

10211201122220 is a wasteful number, since it uses less digits than its factorization.

10211201122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364071 (or 364069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10211201122220 its reverse (2222110211201), we get a palindrome (12433311333421).

The spelling of 10211201122220 in words is "ten trillion, two hundred eleven billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 4721 6020 9442 18884 23605 33047 47210 66094 94420 132188 165235 203003 330470 359291 406006 660940 718582 812012 1015015 1421021 1437164 1796455 2030030 2515037 2842042 3592910 4060060 5030074 5684084 7105105 7185820 10060148 12575185 14210210 15449513 25150370 28420420 30899026 50300740 61798052 77247565 108146591 154495130 216293182 308990260 432586364 540732955 1081465910 1696212811 2162931820 3392425622 6784851244 8481064055 11873489677 16962128110 23746979354 33924256220 47493958708 59367448385 72937150873 118734896770 145874301746 237469793540 291748603492 364685754365 510560056111 729371508730 1021120112222 1458743017460 2042240224444 2552800280555 5105600561110 10211201122220