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1131334020 = 2233517123239
BaseRepresentation
bin100001101101110…
…1100100110000100
32220211210201112000
41003123230212010
54304110142040
6304132225300
740015115625
oct10333544604
92824721460
101131334020
11530676aa3
12276a6b230
13150501c1b
14aa377a4c
15694c5130
hex436ec984

1131334020 has 96 divisors (see below), whose sum is σ = 3726777600. Its totient is φ = 283940352.

The previous prime is 1131334013. The next prime is 1131334049. The reversal of 1131334020 is 204331311.

1131334020 is a `hidden beast` number, since 11 + 313 + 340 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1131333984 and 1131334002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52440 + ... + 70799.

It is an arithmetic number, because the mean of its divisors is an integer number (38820600).

Almost surely, 21131334020 is an apocalyptic number.

1131334020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131334020 is an abundant number, since it is smaller than the sum of its proper divisors (2595443580).

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

1131334020 is a wasteful number, since it uses less digits than its factorization.

1131334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123274 (or 123266 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1131334020 is about 33635.3091259765. The cubic root of 1131334020 is about 1041.9901549192.

Adding to 1131334020 its reverse (204331311), we get a palindrome (1335665331).

The spelling of 1131334020 in words is "one billion, one hundred thirty-one million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 123239 246478 369717 492956 616195 739434 1109151 1232390 1478868 1848585 2095063 2218302 2464780 3327453 3697170 4190126 4436604 5545755 6285189 6654906 7394340 8380252 10475315 11091510 12570378 13309812 16637265 18855567 20950630 22183020 25140756 31425945 33274530 37711134 41901260 56566701 62851890 66549060 75422268 94277835 113133402 125703780 188555670 226266804 282833505 377111340 565667010 1131334020