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111330133020 = 223351459141307
BaseRepresentation
bin110011110101111001…
…0110000010000011100
3101122100210021201212000
41213223302300100130
53311001003224040
6123051103042300
711020602342201
oct1475362602034
9348323251760
10111330133020
114323aa597a7
12196b02a0390
13a662c55572
145561b09ca8
152d68c8b130
hex19ebcb041c

111330133020 has 96 divisors (see below), whose sum is σ = 346600262400. Its totient is φ = 29667477312.

The previous prime is 111330132997. The next prime is 111330133037. The reversal of 111330133020 is 20331033111.

It is a happy number.

111330133020 is a `hidden beast` number, since 1 + 1 + 1 + 330 + 1 + 330 + 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 = 111330132984 and 111330133002.

It is a congruent number.

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, 717207 + ... + 858513.

It is an arithmetic number, because the mean of its divisors is an integer number (3610419400).

Almost surely, 2111330133020 is an apocalyptic number.

111330133020 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 111330133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173300131200).

111330133020 is an abundant number, since it is smaller than the sum of its proper divisors (235270129380).

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

111330133020 is a wasteful number, since it uses less digits than its factorization.

111330133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142784 (or 142776 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 111330133020 its reverse (20331033111), we get a palindrome (131661166131).

Subtracting from 111330133020 its reverse (20331033111), we obtain a palindrome (90999099909).

The spelling of 111330133020 in words is "one hundred eleven billion, three hundred thirty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1459 2918 4377 5836 7295 8754 13131 14590 17508 21885 26262 29180 39393 43770 52524 65655 78786 87540 131310 141307 157572 196965 262620 282614 393930 423921 565228 706535 787860 847842 1271763 1413070 1695684 2119605 2543526 2826140 3815289 4239210 5087052 6358815 7630578 8478420 12717630 15261156 19076445 25435260 38152890 76305780 206166913 412333826 618500739 824667652 1030834565 1237001478 1855502217 2061669130 2474002956 3092503695 3711004434 4123338260 5566506651 6185007390 7422008868 9277511085 11133013302 12370014780 18555022170 22266026604 27832533255 37110044340 55665066510 111330133020