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1131100020 = 2232519330731
BaseRepresentation
bin100001101101011…
…0011011101110100
32220211100211112100
41003122303131310
54304030200040
6304123222100
740013122461
oct10332633564
92824324470
101131100020
11530527206
12276977930
1315044c56b
14aa316668
156947ab30
hex436b3774

1131100020 has 72 divisors (see below), whose sum is σ = 3611593440. Its totient is φ = 285750720.

The previous prime is 1131099997. The next prime is 1131100031. The reversal of 1131100020 is 200011311.

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

It is a junction number, because it is equal to n+sod(n) for n = 1131099975 and 1131100011.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 161946 + ... + 168785.

It is an arithmetic number, because the mean of its divisors is an integer number (50161020).

Almost surely, 21131100020 is an apocalyptic number.

1131100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131100020 is an abundant number, since it is smaller than the sum of its proper divisors (2480493420).

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

1131100020 is a wasteful number, since it uses less digits than its factorization.

1131100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330765 (or 330760 counting only the distinct ones).

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

The square root of 1131100020 is about 33631.8304586592. The cubic root of 1131100020 is about 1041.9183097923.

Adding to 1131100020 its reverse (200011311), we get a palindrome (1331111331).

The spelling of 1131100020 in words is "one billion, one hundred thirty-one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 330731 661462 992193 1322924 1653655 1984386 2976579 3307310 3968772 4960965 5953158 6283889 6614620 9921930 11906316 12567778 14882895 18851667 19843860 25135556 29765790 31419445 37703334 56555001 59531580 62838890 75406668 94258335 113110002 125677780 188516670 226220004 282775005 377033340 565550010 1131100020