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1122323020 = 2257131035987
BaseRepresentation
bin100001011100101…
…0100101001001100
32220012211220202021
41002321110221030
54244303314040
6303211135524
736545405530
oct10271245114
92805756667
101122323020
11526581995
12273a445a4
1314b698580
14a90adbc0
15687e524a
hex42e54a4c

1122323020 has 96 divisors (see below), whose sum is σ = 2929425408. Its totient is φ = 351689472.

The previous prime is 1122322933. The next prime is 1122323023. The reversal of 1122323020 is 203232211.

It is a super-2 number, since 2×11223230202 = 2519217922443840800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122322985 and 1122323003.

It is not an unprimeable number, because it can be changed into a prime (1122323023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184467 + ... + 190453.

It is an arithmetic number, because the mean of its divisors is an integer number (30514848).

Almost surely, 21122323020 is an apocalyptic number.

1122323020 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 1122323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464712704).

1122323020 is an abundant number, since it is smaller than the sum of its proper divisors (1807102388).

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

1122323020 is a wasteful number, since it uses less digits than its factorization.

1122323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1122323020 is about 33501.0898330189. The cubic root of 1122323020 is about 1039.2163166616.

Adding to 1122323020 its reverse (203232211), we get a palindrome (1325555231).

It can be divided in two parts, 11223 and 23020, that added together give a palindrome (34243).

The spelling of 1122323020 in words is "one billion, one hundred twenty-two million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 103 130 140 182 206 260 364 412 455 515 721 910 1030 1339 1442 1820 2060 2678 2884 3605 5356 5987 6695 7210 9373 11974 13390 14420 18746 23948 26780 29935 37492 41909 46865 59870 77831 83818 93730 119740 155662 167636 187460 209545 311324 389155 419090 544817 616661 778310 838180 1089634 1233322 1556620 2179268 2466644 2724085 3083305 4316627 5448170 6166610 8016593 8633254 10896340 12333220 16033186 17266508 21583135 32066372 40082965 43166270 56116151 80165930 86332540 112232302 160331860 224464604 280580755 561161510 1122323020