Search a number
-
+
1010112220100 = 225273138371537
BaseRepresentation
bin11101011001011110110…
…00010100101111000100
310120120021110100102122102
432230233120110233010
5113022202212020400
62052012242251232
7132656344130204
oct16545730245704
93516243312572
101010112220100
1135a428018595
12143924656b18
137433a2b7a29
1436c6545c404
151b41e3de9d5
hexeb2f614bc4

1010112220100 has 36 divisors (see below), whose sum is σ = 2221970157204. Its totient is φ = 398510023680.

The previous prime is 1010112220093. The next prime is 1010112220151. The reversal of 1010112220100 is 10222110101.

It can be written as a sum of positive squares in 6 ways, for example, as 184838085184 + 825274134916 = 429928^2 + 908446^2 .

It is a super-3 number, since 3×10101122201003 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69178469 + ... + 69193068.

Almost surely, 21010112220100 is an apocalyptic number.

1010112220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010112220100 is an abundant number, since it is smaller than the sum of its proper divisors (1211857937104).

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

1010112220100 is a wasteful number, since it uses less digits than its factorization.

1010112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138371624 (or 138371617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010112220100 its reverse (10222110101), we get a palindrome (1020334330201).

The spelling of 1010112220100 in words is "one trillion, ten billion, one hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 138371537 276743074 553486148 691857685 1383715370 2767430740 3459288425 6918576850 10101122201 13837153700 20202244402 40404488804 50505611005 101011222010 202022444020 252528055025 505056110050 1010112220100