Search a number
-
+
1020110202020 = 2257135091101179
BaseRepresentation
bin11101101100000110100…
…11100110010010100100
310121112002020022112111002
432312003103212102210
5113203141202431040
62100344313532432
7133462165435430
oct16660323462244
93545066275432
101020110202020
11363698684368
12145854a14118
1375271749770
14375332179c0
151b806eeea15
hexed834e64a4

1020110202020 has 96 divisors (see below), whose sum is σ = 2641774867200. Its totient is φ = 322213492224.

The previous prime is 1020110201959. The next prime is 1020110202031. The reversal of 1020110202020 is 202020110201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1020110201992 and 1020110202010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375791 + ... + 1476969.

It is an arithmetic number, because the mean of its divisors is an integer number (27518488200).

Almost surely, 21020110202020 is an apocalyptic number.

1020110202020 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 1020110202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320887433600).

1020110202020 is an abundant number, since it is smaller than the sum of its proper divisors (1621664665180).

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

1020110202020 is a wasteful number, since it uses less digits than its factorization.

1020110202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101717 (or 1101715 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020110202020 its reverse (202020110201), we get a palindrome (1222130312221).

The spelling of 1020110202020 in words is "one trillion, twenty billion, one hundred ten million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 509 910 1018 1820 2036 2545 3563 5090 6617 7126 10180 13234 14252 17815 26468 33085 35630 46319 66170 71260 92638 132340 185276 231595 463190 926380 1101179 2202358 4404716 5505895 7708253 11011790 14315327 15416506 22023580 28630654 30833012 38541265 57261308 71576635 77082530 100207289 143153270 154165060 200414578 286306540 400829156 501036445 560500111 1002072890 1121000222 2004145780 2242000444 2802500555 3923500777 5605001110 7286501443 7847001554 11210002220 14573002886 15694003108 19617503885 29146005772 36432507215 39235007770 51005510101 72865014430 78470015540 102011020202 145730028860 204022040404 255027550505 510055101010 1020110202020