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203213110030020 = 223251128961722389
BaseRepresentation
bin101110001101001000111101…
…001111001010111011000100
3222122111222120001000112210100
4232031020331033022323010
5203113420422131430040
62000110451452324100
760542443210041516
oct5615107517127304
9878458501015710
10203213110030020
1159828217947882
121a96008b473630
138950bb622585c
1438277d1c09bb6
15187608cb90b30
hexb8d23d3caec4

203213110030020 has 36 divisors (see below), whose sum is σ = 616413100424940. Its totient is φ = 54190162674624.

The previous prime is 203213110030003. The next prime is 203213110030033. The reversal of 203213110030020 is 20030011312302.

203213110030020 is a `hidden beast` number, since 2 + 0 + 32 + 1 + 311 + 0 + 0 + 300 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110916662763204 + 92296447266816 = 10531698^2 + 9607104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203213110029975 and 203213110030002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564480861015 + ... + 564480861374.

It is an arithmetic number, because the mean of its divisors is an integer number (17122586122915).

Almost surely, 2203213110030020 is an apocalyptic number.

203213110030020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203213110030020 is an abundant number, since it is smaller than the sum of its proper divisors (413199990394920).

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

203213110030020 is a wasteful number, since it uses less digits than its factorization.

203213110030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128961722404 (or 1128961722399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203213110030020 its reverse (20030011312302), we get a palindrome (223243121342322).

The spelling of 203213110030020 in words is "two hundred three trillion, two hundred thirteen billion, one hundred ten million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1128961722389 2257923444778 3386885167167 4515846889556 5644808611945 6773770334334 10160655501501 11289617223890 13547540668668 16934425835835 20321311003002 22579234447780 33868851671670 40642622006004 50803277507505 67737703343340 101606555015010 203213110030020