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203130202002 = 23713257150119
BaseRepresentation
bin1011110100101110000…
…0001110011110010010
3201102022111022102101220
42331023200032132102
511312002312431002
6233152225105510
720450520141240
oct2751340163622
9642274272356
10203130202002
1179168781302
123344ba88296
1316202990100
149b8dadb790
15543d1867bc
hex2f4b80e792

203130202002 has 96 divisors (see below), whose sum is σ = 503650667520. Its totient is φ = 53477910720.

The previous prime is 203130201931. The next prime is 203130202007. The reversal of 203130202002 is 200202031302.

203130202002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203130202007) 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 47 ways as a sum of consecutive naturals, for example, 4027899 + ... + 4078017.

It is an arithmetic number, because the mean of its divisors is an integer number (5246361120).

Almost surely, 2203130202002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203130202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251825333760).

203130202002 is an abundant number, since it is smaller than the sum of its proper divisors (300520465518).

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

203130202002 is a wasteful number, since it uses less digits than its factorization.

203130202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50728 (or 50715 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 203130202002 its reverse (200202031302), we get a palindrome (403332233304).

The spelling of 203130202002 in words is "two hundred three billion, one hundred thirty million, two hundred two thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 571 1014 1142 1183 1713 2366 3426 3549 3997 7098 7423 7994 11991 14846 22269 23982 44538 50119 51961 96499 100238 103922 150357 155883 192998 289497 300714 311766 350833 578994 651547 675493 701666 1052499 1303094 1350986 1954641 2026479 2104998 3909282 4052958 4560829 8470111 9121658 13682487 16940222 25410333 27364974 28617949 50820666 57235898 59290777 85853847 118581554 171707694 177872331 200325643 355744662 372033337 400651286 600976929 744066674 1116100011 1201953858 2232200022 2604233359 4836433381 5208466718 7812700077 9672866762 14509300143 15625400154 29018600286 33855033667 67710067334 101565101001 203130202002