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203142333020 = 225117146128211
BaseRepresentation
bin1011110100110000111…
…0100000001001011100
3201102100100010202000212
42331030032200021130
511312013414124040
6233153341111552
720451025224524
oct2751416401134
9642310122025
10203142333020
1179174607540
1233453b585b8
1316205349923
149b91578684
15543e280d65
hex2f4c3a025c

203142333020 has 96 divisors (see below), whose sum is σ = 472975759872. Its totient is φ = 72668960000.

The previous prime is 203142333013. The next prime is 203142333059. The reversal of 203142333020 is 20333241302.

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 31 ways as a sum of consecutive naturals, for example, 7186715 + ... + 7214925.

It is an arithmetic number, because the mean of its divisors is an integer number (4926830832).

Almost surely, 2203142333020 is an apocalyptic number.

203142333020 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 203142333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236487879936).

203142333020 is an abundant number, since it is smaller than the sum of its proper divisors (269833426852).

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

203142333020 is a wasteful number, since it uses less digits than its factorization.

203142333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28763 (or 28761 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 203142333020 its reverse (20333241302), we get a palindrome (223475574322).

The spelling of 203142333020 in words is "two hundred three billion, one hundred forty-two million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 461 710 781 922 1420 1562 1844 2305 3124 3905 4610 5071 7810 9220 10142 15620 20284 25355 28211 32731 50710 56422 65462 101420 112844 130924 141055 163655 282110 310321 327310 360041 564220 620642 654620 720082 1241284 1440164 1551605 1800205 2002981 3103210 3600410 4005962 6206420 7200820 8011924 10014905 13005271 20029810 22032791 26010542 40059620 44065582 52021084 65026355 88131164 110163955 130052710 143057981 220327910 260105420 286115962 440655820 572231924 715289905 923374241 1430579810 1846748482 2861159620 3693496964 4616871205 9233742410 10157116651 18467484820 20314233302 40628466604 50785583255 101571166510 203142333020