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203313121001 = 1721924194651
BaseRepresentation
bin1011110101011001101…
…0000000011011101001
3201102210020111200002122
42331112122000123221
511312341124333001
6233222321441025
720455201004624
oct2752632003351
9642706450078
10203313121001
1179251a58031
12334a11a0175
13162318467c3
149baa114dbb
15544e269b1b
hex2f566806e9

203313121001 has 36 divisors (see below), whose sum is σ = 228534803280. Its totient is φ = 180810748800.

The previous prime is 203313120979. The next prime is 203313121061. The reversal of 203313121001 is 100121313302.

203313121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 203313121001 - 26 = 203313120937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203313121061) 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 35 ways as a sum of consecutive naturals, for example, 43711526 + ... + 43716176.

It is an arithmetic number, because the mean of its divisors is an integer number (6348188980).

Almost surely, 2203313121001 is an apocalyptic number.

It is an amenable number.

203313121001 is a deficient number, since it is larger than the sum of its proper divisors (25221682279).

203313121001 is a wasteful number, since it uses less digits than its factorization.

203313121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 203313121001 its reverse (100121313302), we get a palindrome (303434434303).

The spelling of 203313121001 in words is "two hundred three billion, three hundred thirteen million, one hundred twenty-one thousand, one".

Divisors: 1 17 19 289 323 361 419 4651 5491 6137 7123 7961 79067 88369 104329 121091 135337 151259 1344139 1502273 1679011 1948769 2300729 2571403 25538641 28543187 33129073 37026611 43713851 485234179 563194241 629452387 703505609 10700690579 11959595353 203313121001