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2032113020 = 2257172337123
BaseRepresentation
bin111100100011111…
…1001010101111100
312020121210001000012
41321013321111330
513130210104040
6533351122352
7101233450520
oct17107712574
95217701005
102032113020
11953090653
124886733b8
1326500c052
14153c57d80
15bd607865
hex791f957c

2032113020 has 96 divisors (see below), whose sum is σ = 5388622848. Its totient is φ = 627213312.

The previous prime is 2032113011. The next prime is 2032113029. The reversal of 2032113020 is 203112302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2032113011) and next prime (2032113029).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2032112986 and 2032113004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032113029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36179 + ... + 73301.

It is an arithmetic number, because the mean of its divisors is an integer number (56131488).

Almost surely, 22032113020 is an apocalyptic number.

2032113020 is a gapful number since it is divisible by the number (20) 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 2032113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694311424).

2032113020 is an abundant number, since it is smaller than the sum of its proper divisors (3356509828).

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

2032113020 is a wasteful number, since it uses less digits than its factorization.

2032113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37179 (or 37177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2032113020 is about 45078.9642738162. The cubic root of 2032113020 is about 1266.6285887291.

Adding to 2032113020 its reverse (203112302), we get a palindrome (2235225322).

The spelling of 2032113020 in words is "two billion, thirty-two million, one hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1190 1564 1610 1955 2380 2737 3220 3910 5474 7820 10948 13685 27370 37123 54740 74246 148492 185615 259861 371230 519722 631091 742460 853829 1039444 1262182 1299305 1707658 2524364 2598610 3155455 3415316 4269145 4417637 5197220 5976803 6310910 8538290 8835274 11953606 12621820 14515093 17076580 17670548 22088185 23907212 29030186 29884015 44176370 58060372 59768030 72575465 88352740 101605651 119536060 145150930 203211302 290301860 406422604 508028255 1016056510 2032113020