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11331001020 = 2235456741351
BaseRepresentation
bin10101000110110000…
…10101101010111100
31002020200021111021110
422203120111222330
5141201214013040
65112210402020
7550535630253
oct124330255274
932220244243
1011331001020
114895066859
122242890310
1310b768ac41
14796c3379a
15464b73980
hex2a3615abc

11331001020 has 48 divisors (see below), whose sum is σ = 31734517248. Its totient is φ = 3020865600.

The previous prime is 11331001001. The next prime is 11331001049. The reversal of 11331001020 is 2010013311.

11331001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11331000987 and 11331001005.

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 15 ways as a sum of consecutive naturals, for example, 253345 + ... + 294695.

It is an arithmetic number, because the mean of its divisors is an integer number (661135776).

Almost surely, 211331001020 is an apocalyptic number.

11331001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331001020 is an abundant number, since it is smaller than the sum of its proper divisors (20403516228).

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

11331001020 is a wasteful number, since it uses less digits than its factorization.

11331001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45930 (or 45928 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11331001020 its reverse (2010013311), we get a palindrome (13341014331).

The spelling of 11331001020 in words is "eleven billion, three hundred thirty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4567 9134 13701 18268 22835 27402 41351 45670 54804 68505 82702 91340 124053 137010 165404 206755 248106 274020 413510 496212 620265 827020 1240530 2481060 188850017 377700034 566550051 755400068 944250085 1133100102 1888500170 2266200204 2832750255 3777000340 5665500510 11331001020