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202103312103 = 327112371123001
BaseRepresentation
bin1011110000111001001…
…0111100111011100111
3201022122221001000021200
42330032102330323213
511302401421441403
6232502303213543
720413210544160
oct2741622747347
9638587030250
10202103312103
1178791061770
1233203ba72b3
131609acc9754
149ad3590767
1553cce42ca3
hex2f0e4bcee7

202103312103 has 48 divisors (see below), whose sum is σ = 364117408512. Its totient is φ = 104943600000.

The previous prime is 202103312087. The next prime is 202103312149. The reversal of 202103312103 is 301213301202.

202103312103 is a `hidden beast` number, since 20 + 210 + 331 + 2 + 103 = 666.

It is not a de Polignac number, because 202103312103 - 24 = 202103312087 is a prime.

It is a super-3 number, since 3×2021033121033 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202103362103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1581603 + ... + 1704603.

It is an arithmetic number, because the mean of its divisors is an integer number (7585779344).

Almost surely, 2202103312103 is an apocalyptic number.

202103312103 is a deficient number, since it is larger than the sum of its proper divisors (162014096409).

202103312103 is a wasteful number, since it uses less digits than its factorization.

202103312103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125396 (or 125393 counting only the distinct ones).

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

Adding to 202103312103 its reverse (301213301202), we get a palindrome (503316613305).

It can be divided in two parts, 2021033 and 12103, that added together give a triangular number (2033136 = T2016).

The spelling of 202103312103 in words is "two hundred two billion, one hundred three million, three hundred twelve thousand, one hundred three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 2371 7113 16597 21339 26081 49791 78243 123001 149373 182567 234729 369003 547701 861007 1107009 1353011 1643103 2583021 4059033 7749063 9471077 12177099 28413231 85239693 291635371 874906113 2041447597 2624718339 3207989081 6124342791 9623967243 18373028373 22455923567 28871901729 67367770701 202103312103