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1131021000 = 233253125669
BaseRepresentation
bin100001101101010…
…0000001011001000
32220211012211010200
41003122200023020
54304020133000
6304121412200
740012343214
oct10332401310
92824184120
101131021000
115304828aa
1227693a060
131504225c5
14aa2d5944
1569462500
hex436a02c8

1131021000 has 96 divisors (see below), whose sum is σ = 3822881400. Its totient is φ = 301603200.

The previous prime is 1131020993. The next prime is 1131021011. The reversal of 1131021000 is 1201311.

It can be written as a sum of positive squares in 4 ways, for example, as 413959716 + 717061284 = 20346^2 + 26778^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53835 + ... + 71834.

Almost surely, 21131021000 is an apocalyptic number.

1131021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131021000 is an abundant number, since it is smaller than the sum of its proper divisors (2691860400).

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

1131021000 is a wasteful number, since it uses less digits than its factorization.

1131021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125696 (or 125679 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1131021000 is about 33630.6556581938. The cubic root of 1131021000 is about 1041.8940460075.

Adding to 1131021000 its reverse (1201311), we get a palindrome (1132222311).

The spelling of 1131021000 in words is "one billion, one hundred thirty-one million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 125669 251338 377007 502676 628345 754014 1005352 1131021 1256690 1508028 1885035 2262042 2513380 3016056 3141725 3770070 4524084 5026760 5655105 6283450 7540140 9048168 9425175 11310210 12566900 15080280 15708625 18850350 22620420 25133800 28275525 31417250 37700700 45240840 47125875 56551050 62834500 75401400 94251750 113102100 125669000 141377625 188503500 226204200 282755250 377007000 565510500 1131021000