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1131202020 = 22351383101173
BaseRepresentation
bin100001101101100…
…1100010111100100
32220211120000110010
41003123030113210
54304041431040
6304125330220
740014026034
oct10333142744
92824500403
101131202020
11530596903
12276a06970
13150486b10
14aa3418c4
156949ae80
hex436cc5e4

1131202020 has 192 divisors, whose sum is σ = 3506436864. Its totient is φ = 270796800.

The previous prime is 1131202003. The next prime is 1131202129. The reversal of 1131202020 is 202021311.

It is a super-3 number, since 3×11312020203 (a number of 28 digits) contains 333 as substring.

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 = 1131201987 and 1131202005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6538654 + ... + 6538826.

It is an arithmetic number, because the mean of its divisors is an integer number (18262692).

Almost surely, 21131202020 is an apocalyptic number.

1131202020 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 1131202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753218432).

1131202020 is an abundant number, since it is smaller than the sum of its proper divisors (2375234844).

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

1131202020 is a wasteful number, since it uses less digits than its factorization.

1131202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1131202020 is about 33633.3468450584. The cubic root of 1131202020 is about 1041.9496281170.

Adding to 1131202020 its reverse (202021311), we get a palindrome (1333223331).

The spelling of 1131202020 in words is "one billion, one hundred thirty-one million, two hundred two thousand, twenty".