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203313030120321 = 311231101178885657
BaseRepresentation
bin101110001110100110000000…
…111100000100001110000001
3222122212112110122022001112120
4232032212000330010032001
5203122040041202322241
62000224414442514453
760552611263561242
oct5616460074041601
9878775418261476
10203313030120321
1159866632163600
121a977516505a29
13895a44b307044
14382c5903c8cc9
151878989d93666
hexb8e980f04381

203313030120321 has 48 divisors (see below), whose sum is σ = 310625643062784. Its totient is φ = 118064532960000.

The previous prime is 203313030120313. The next prime is 203313030120373. The reversal of 203313030120321 is 123021030313302.

It is not a de Polignac number, because 203313030120321 - 23 = 203313030120313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 203313030120291 and 203313030120300.

It is not an unprimeable number, because it can be changed into a prime (203313030125321) 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, 88306276 + ... + 90579381.

It is an arithmetic number, because the mean of its divisors is an integer number (6471367563808).

Almost surely, 2203313030120321 is an apocalyptic number.

It is an amenable number.

203313030120321 is a deficient number, since it is larger than the sum of its proper divisors (107312612942463).

203313030120321 is a wasteful number, since it uses less digits than its factorization.

203313030120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178885814 (or 178885803 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 203313030120321 its reverse (123021030313302), we get a palindrome (326334060433623).

The spelling of 203313030120321 in words is "two hundred three trillion, three hundred thirteen billion, thirty million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 11 31 33 93 101 121 303 341 363 1023 1111 3131 3333 3751 9393 11253 12221 34441 36663 103323 378851 1136553 178885657 536656971 1967742227 5545455367 5903226681 16636366101 18067451357 21645164497 54202354071 61000009037 64935493491 183000027111 198741964927 560090992067 596225894781 671000099407 1680272976201 2013000298221 2186161614197 6161000912737 6558484842591 18483002738211 67771010040107 203313030120321