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1122010020 = 223256233389
BaseRepresentation
bin100001011100000…
…1000001110100100
32220012021000101200
41002320020032210
54244213310040
6303200322500
736542633145
oct10270101644
92805230350
101122010020
1152638880a
12273913430
1314b5b8c71
14a902bacc
1568782630
hex42e083a4

1122010020 has 36 divisors (see below), whose sum is σ = 3403430940. Its totient is φ = 299202624.

The previous prime is 1122010009. The next prime is 1122010031. The reversal of 1122010020 is 200102211.

It is an interprime number because it is at equal distance from previous prime (1122010009) and next prime (1122010031).

It can be written as a sum of positive squares in 2 ways, for example, as 493906176 + 628103844 = 22224^2 + 25062^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1122009984 and 1122010011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3116515 + ... + 3116874.

Almost surely, 21122010020 is an apocalyptic number.

1122010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122010020 is an abundant number, since it is smaller than the sum of its proper divisors (2281420920).

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

1122010020 is a wasteful number, since it uses less digits than its factorization.

1122010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233404 (or 6233399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1122010020 is about 33496.4180174537. The cubic root of 1122010020 is about 1039.1197001070.

Adding to 1122010020 its reverse (200102211), we get a palindrome (1322112231).

The spelling of 1122010020 in words is "one billion, one hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6233389 12466778 18700167 24933556 31166945 37400334 56100501 62333890 74800668 93500835 112201002 124667780 187001670 224402004 280502505 374003340 561005010 1122010020