Search a number
-
+
1110202001000 = 23531110202001
BaseRepresentation
bin10000001001111101001…
…100100010011001101000
310221010121212221010010122
4100021331030202121220
5121142143203013000
62210004133502412
7143131561206461
oct20117514423150
93833555833118
101110202001000
1139891a0a5384
1215b1b84a1a08
13808cb5a0761
143ba3c3add68
151dd2b461085
hex1027d322668

1110202001000 has 32 divisors (see below), whose sum is σ = 2597872684680. Its totient is φ = 444080800000.

The previous prime is 1110202000949. The next prime is 1110202001039. The reversal of 1110202001000 is 1002020111.

It can be written as a sum of positive squares in 4 ways, for example, as 220375791364 + 889826209636 = 469442^2 + 943306^2 .

It is a super-3 number, since 3×11102020010003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555100001 + ... + 555102000.

Almost surely, 21110202001000 is an apocalyptic number.

1110202001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110202001000 is an abundant number, since it is smaller than the sum of its proper divisors (1487670683680).

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

1110202001000 is a wasteful number, since it uses less digits than its factorization.

1110202001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110202022 (or 1110202008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1110202001000 its reverse (1002020111), we get a palindrome (1111204021111).

The spelling of 1110202001000 in words is "one trillion, one hundred ten billion, two hundred two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1110202001 2220404002 4440808004 5551010005 8881616008 11102020010 22204040020 27755050025 44408080040 55510100050 111020200100 138775250125 222040400200 277550500250 555101000500 1110202001000