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203513852020 = 22517311318329
BaseRepresentation
bin1011110110001001011…
…1101111000001110100
3201110022020012212021211
42331202113233001310
511313244021231040
6233254252051204
720463156125353
oct2754227570164
9643266185254
10203513852020
117934529a236
1233538463b04
13162642c875b
149bc8a4799a
155461bba8ea
hex2f625ef074

203513852020 has 96 divisors (see below), whose sum is σ = 458128288800. Its totient is φ = 75934810112.

The previous prime is 203513851999. The next prime is 203513852021. The reversal of 203513852020 is 20258315302.

It can be written as a sum of positive squares in 16 ways, for example, as 92700763024 + 110813088996 = 304468^2 + 332886^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203513852021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11094216 + ... + 11112544.

It is an arithmetic number, because the mean of its divisors is an integer number (4772169675).

Almost surely, 2203513852020 is an apocalyptic number.

203513852020 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 203513852020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229064144400).

203513852020 is an abundant number, since it is smaller than the sum of its proper divisors (254614436780).

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

203513852020 is a wasteful number, since it uses less digits than its factorization.

203513852020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18502 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 203513852020 in words is "two hundred three billion, five hundred thirteen million, eight hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 289 340 452 565 578 1130 1156 1445 1921 2260 2890 3842 4913 5780 7684 9605 9826 18329 19210 19652 24565 32657 36658 38420 49130 65314 73316 91645 98260 130628 163285 183290 311593 326570 366580 555169 623186 653140 1110338 1246372 1557965 2071177 2220676 2775845 3115930 4142354 5297081 5551690 6231860 8284708 10355885 10594162 11103380 20711770 21188324 26485405 35210009 41423540 52970810 70420018 90050377 105941620 140840036 176050045 180100754 352100090 360201508 450251885 598570153 704200180 900503770 1197140306 1801007540 2394280612 2992850765 5985701530 10175692601 11971403060 20351385202 40702770404 50878463005 101756926010 203513852020