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11202010020 = 223456914821
BaseRepresentation
bin10100110111011000…
…10001101110100100
31001220200120001220000
422123230101232210
5140420203310040
65051321541300
7544411341225
oct123354215644
931820501800
1011202010020
114829273a23
122207644830
131096a367c6
14783a5724c
15458694130
hex29bb11ba4

11202010020 has 60 divisors (see below), whose sum is σ = 35141125404. Its totient is φ = 2987202240.

The previous prime is 11202009977. The next prime is 11202010051. The reversal of 11202010020 is 2001020211.

11202010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3192476004 + 8009534016 = 56502^2 + 89496^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 11202009984 and 11202010011.

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 19 ways as a sum of consecutive naturals, for example, 3455791 + ... + 3459030.

Almost surely, 211202010020 is an apocalyptic number.

11202010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202010020 is an abundant number, since it is smaller than the sum of its proper divisors (23939115384).

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

11202010020 is a wasteful number, since it uses less digits than its factorization.

11202010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914842 (or 6914831 counting only the distinct ones).

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

Adding to 11202010020 its reverse (2001020211), we get a palindrome (13203030231).

The spelling of 11202010020 in words is "eleven billion, two hundred two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6914821 13829642 20744463 27659284 34574105 41488926 62233389 69148210 82977852 103722315 124466778 138296420 186700167 207444630 248933556 311166945 373400334 414889260 560100501 622333890 746800668 933500835 1120201002 1244667780 1867001670 2240402004 2800502505 3734003340 5601005010 11202010020