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1110012022220 = 2251973155925667
BaseRepresentation
bin10000001001110001110…
…111110100110111001100
310221010010122110012020112
4100021301313310313030
5121141301034202340
62205533225535152
7143124063340463
oct20116167646714
93833118405215
101110012022220
11398831937522
1215b1649444b8
138089b11488a
143ba210799da
151dd19936065
hex10271df4dcc

1110012022220 has 96 divisors (see below), whose sum is σ = 2489015692800. Its totient is φ = 414591727104.

The previous prime is 1110012022199. The next prime is 1110012022267. The reversal of 1110012022220 is 222202100111.

It is a junction number, because it is equal to n+sod(n) for n = 1110012022195 and 1110012022204.

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, 43233827 + ... + 43259493.

It is an arithmetic number, because the mean of its divisors is an integer number (25927246800).

Almost surely, 21110012022220 is an apocalyptic number.

1110012022220 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 1110012022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244507846400).

1110012022220 is an abundant number, since it is smaller than the sum of its proper divisors (1379003670580).

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

1110012022220 is a wasteful number, since it uses less digits than its factorization.

1110012022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27327 (or 27325 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1110012022220 its reverse (222202100111), we get a palindrome (1332214122331).

The spelling of 1110012022220 in words is "one trillion, one hundred ten billion, twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1387 1460 1559 2774 3118 5548 6236 6935 7795 13870 15590 25667 27740 29621 31180 51334 59242 102668 113807 118484 128335 148105 227614 256670 296210 455228 487673 513340 569035 592420 975346 1138070 1873691 1950692 2162333 2276140 2438365 3747382 4324666 4876730 7494764 8649332 9368455 9753460 10811665 18736910 21623330 35600129 37473820 40014853 43246660 71200258 80029706 142400516 160059412 178000645 200074265 356001290 400148530 712002580 760282207 800297060 1520564414 2921084269 3041128828 3801411035 5842168538 7602822070 11684337076 14605421345 15205644140 29210842690 55500601111 58421685380 111001202222 222002404444 277503005555 555006011110 1110012022220