Search a number
-
+
1010010202020 = 223352134187643
BaseRepresentation
bin11101011001010010100…
…11001001111110100100
310120120000100101101011000
432230221103021332210
5113022000102431040
62051554155513300
7132653665031331
oct16545123117644
93516010341130
101010010202020
1135a385478926
121438b6458830
13743221187c1
1436c55aa3988
151b41548c130
hexeb294c9fa4

1010010202020 has 96 divisors (see below), whose sum is σ = 3142437056640. Its totient is φ = 269320360320.

The previous prime is 1010010202009. The next prime is 1010010202031. The reversal of 1010010202020 is 202020100101.

It is an interprime number because it is at equal distance from previous prime (1010010202009) and next prime (1010010202031).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010010201993 and 1010010202011.

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, 11480319 + ... + 11567961.

It is an arithmetic number, because the mean of its divisors is an integer number (32733719340).

Almost surely, 21010010202020 is an apocalyptic number.

1010010202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010010202020 is an abundant number, since it is smaller than the sum of its proper divisors (2132426854620).

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

1010010202020 is a wasteful number, since it uses less digits than its factorization.

1010010202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109002 (or 108994 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010010202020 its reverse (202020100101), we get a palindrome (1212030302121).

The spelling of 1010010202020 in words is "one trillion, ten billion, ten million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 21341 42682 64023 85364 87643 106705 128046 175286 192069 213410 256092 262929 320115 350572 384138 426820 438215 525858 576207 640230 768276 788787 876430 960345 1051716 1152414 1280460 1314645 1577574 1752860 1920690 2304828 2366361 2629290 2881035 3155148 3841380 3943935 4732722 5258580 5762070 7887870 9465444 11524140 11831805 15775740 23663610 47327220 1870389263 3740778526 5611167789 7481557052 9351946315 11222335578 16833503367 18703892630 22444671156 28055838945 33667006734 37407785260 50500510101 56111677890 67334013468 84167516835 101001020202 112223355780 168335033670 202002040404 252502550505 336670067340 505005101010 1010010202020