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1011131000 = 23531191921
BaseRepresentation
bin111100010001001…
…010001001111000
32121110121202222022
4330101022021320
54032322143000
6244200014012
734025320535
oct7421121170
92543552868
101011131000
11479836760
12242761308
13131636789
1498407d8c
155db7e585
hex3c44a278

1011131000 has 64 divisors (see below), whose sum is σ = 2581169760. Its totient is φ = 367680000.

The previous prime is 1011130997. The next prime is 1011131029. The reversal of 1011131000 is 1311101.

It is a super-2 number, since 2×10111310002 = 2044771798322000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34961 + ... + 56960.

Almost surely, 21011131000 is an apocalyptic number.

1011131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011131000 is an abundant number, since it is smaller than the sum of its proper divisors (1570038760).

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

1011131000 is a wasteful number, since it uses less digits than its factorization.

1011131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91953 (or 91939 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 1011131000 is about 31798.2861173366. The cubic root of 1011131000 is about 1003.6966512642.

Adding to 1011131000 its reverse (1311101), we get a palindrome (1012442101).

The spelling of 1011131000 in words is "one billion, eleven million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 91921 183842 367684 459605 735368 919210 1011131 1838420 2022262 2298025 3676840 4044524 4596050 5055655 8089048 9192100 10111310 11490125 18384200 20222620 22980250 25278275 40445240 45960500 50556550 91921000 101113100 126391375 202226200 252782750 505565500 1011131000