Search a number
-
+
1010000122020 = 223257097914121
BaseRepresentation
bin11101011001010001011…
…00101101000010100100
310120112222122102020222200
432230220230231002210
5113021440012401040
62051553155454500
7132653513246511
oct16545054550244
93515878366880
101010000122020
1135a37a81364a
121438b2bb7430
137431ccc96c6
1436c545dc308
151b41464a630
hexeb28b2d0a4

1010000122020 has 72 divisors (see below), whose sum is σ = 3067988534520. Its totient is φ = 268953454080.

The previous prime is 1010000122013. The next prime is 1010000122063. The reversal of 1010000122020 is 202210000101.

It can be written as a sum of positive squares in 4 ways, for example, as 4155607296 + 1005844514724 = 64464^2 + 1002918^2 .

It is a super-3 number, since 3×10100001220203 (a number of 37 digits) contains 333 as substring.

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 = 1010000121993 and 1010000122011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3829441 + ... + 4084680.

Almost surely, 21010000122020 is an apocalyptic number.

1010000122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010000122020 is an abundant number, since it is smaller than the sum of its proper divisors (2057988412500).

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

1010000122020 is a wasteful number, since it uses less digits than its factorization.

1010000122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914845 (or 7914840 counting only the distinct ones).

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

Adding to 1010000122020 its reverse (202210000101), we get a palindrome (1212210122121).

The spelling of 1010000122020 in words is "one trillion, ten billion, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 709 1418 2127 2836 3545 4254 6381 7090 8508 10635 12762 14180 21270 25524 31905 42540 63810 127620 7914121 15828242 23742363 31656484 39570605 47484726 71227089 79141210 94969452 118711815 142454178 158282420 237423630 284908356 356135445 474847260 712270890 1424541780 5611111789 11222223578 16833335367 22444447156 28055558945 33666670734 50500006101 56111117890 67333341468 84166676835 101000012202 112222235780 168333353670 202000024404 252500030505 336666707340 505000061010 1010000122020