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1001220220220 = 2251129167939707
BaseRepresentation
bin11101001000111010110…
…00000010010100111100
310112201022202111000221112
432210131120002110330
5112400444334021340
62043542040021152
7132223112311253
oct16443530022474
93481282430845
101001220220220
11356684792460
121420627617b8
137355101c73c
143666051b79a
151b09d948065
hexe91d60253c

1001220220220 has 96 divisors (see below), whose sum is σ = 2387008673280. Its totient is φ = 349420279040.

The previous prime is 1001220220193. The next prime is 1001220220223. The reversal of 1001220220220 is 220220221001.

It is a junction number, because it is equal to n+sod(n) for n = 1001220220195 and 1001220220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001220220223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595607 + ... + 1535313.

It is an arithmetic number, because the mean of its divisors is an integer number (24864673680).

Almost surely, 21001220220220 is an apocalyptic number.

1001220220220 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 1001220220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193504336640).

1001220220220 is an abundant number, since it is smaller than the sum of its proper divisors (1385788453060).

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

1001220220220 is a wasteful number, since it uses less digits than its factorization.

1001220220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939923 (or 939921 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1001220220220 its reverse (220220221001), we get a palindrome (1221440441221).

The spelling of 1001220220220 in words is "one trillion, one billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 167 220 290 319 334 580 638 668 835 1276 1595 1670 1837 3190 3340 3674 4843 6380 7348 9185 9686 18370 19372 24215 36740 48430 53273 96860 106546 213092 266365 532730 939707 1065460 1879414 3758828 4698535 9397070 10336777 18794140 20673554 27251503 41347108 51683885 54503006 103367770 109006012 136257515 156931069 206735540 272515030 299766533 313862138 545030060 599533066 627724276 784655345 1199066132 1498832665 1569310690 1726241759 2997665330 3138621380 3452483518 4551001001 5995330660 6904967036 8631208795 9102002002 17262417590 18204004004 22755005005 34524835180 45510010010 50061011011 91020020020 100122022022 200244044044 250305055055 500610110110 1001220220220