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1133000020 = 22517191271381
BaseRepresentation
bin100001110001000…
…0011010101010100
32220221221100211201
41003202003111110
54310022000040
6304232042244
740035225025
oct10342032524
92827840751
101133000020
11531604759
12277533384
13150966319
14aa68cc4c
1569703a9a
hex43883554

1133000020 has 96 divisors (see below), whose sum is σ = 2674667520. Its totient is φ = 400619520.

The previous prime is 1132999999. The next prime is 1133000021. The reversal of 1133000020 is 200003311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1132999970 and 1133000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819730 + ... + 821110.

It is an arithmetic number, because the mean of its divisors is an integer number (27861120).

Almost surely, 21133000020 is an apocalyptic number.

1133000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337333760).

1133000020 is an abundant number, since it is smaller than the sum of its proper divisors (1541667500).

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

1133000020 is a wasteful number, since it uses less digits than its factorization.

1133000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1133000020 is about 33660.0656565016. The cubic root of 1133000020 is about 1042.5013815308.

Adding to 1133000020 its reverse (200003311), we get a palindrome (1333003331).

The spelling of 1133000020 in words is "one billion, one hundred thirty-three million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 127 170 190 254 323 340 380 508 635 646 1270 1292 1381 1615 2159 2413 2540 2762 3230 4318 4826 5524 6460 6905 8636 9652 10795 12065 13810 21590 23477 24130 26239 27620 41021 43180 46954 48260 52478 82042 93908 104956 117385 131195 164084 175387 205105 234770 262390 350774 410210 446063 469540 524780 701548 820420 876935 892126 1753870 1784252 2230315 2981579 3332353 3507740 4460630 5963158 6664706 8921260 11926316 13329412 14907895 16661765 29815790 33323530 56650001 59631580 66647060 113300002 226600004 283250005 566500010 1133000020