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203103312321 = 37138913816053
BaseRepresentation
bin1011110100100111100…
…1101001100111000001
3201102020121201021200210
42331021321221213001
511311423421443241
6233145424504333
720450042445540
oct2751171514701
9642217637623
10203103312321
1179154585728
1233442a7b0a9
13161ca236a60
149b8a2dc157
15543ab24316
hex2f49e699c1

203103312321 has 64 divisors (see below), whose sum is σ = 337342440960. Its totient is φ = 105833502720.

The previous prime is 203103312299. The next prime is 203103312341. The reversal of 203103312321 is 123213301302.

It is not a de Polignac number, because 203103312321 - 214 = 203103295937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (203103312341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33551131 + ... + 33557183.

It is an arithmetic number, because the mean of its divisors is an integer number (5270975640).

Almost surely, 2203103312321 is an apocalyptic number.

203103312321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

203103312321 is a deficient number, since it is larger than the sum of its proper divisors (134239128639).

203103312321 is a wasteful number, since it uses less digits than its factorization.

203103312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7546.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 203103312321 its reverse (123213301302), we get a palindrome (326316613623).

The spelling of 203103312321 in words is "two hundred three billion, one hundred three million, three hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 7 13 21 39 89 91 267 273 623 1157 1381 1869 3471 4143 6053 8099 9667 17953 18159 24297 29001 42371 53859 78689 122909 125671 127113 236067 368727 377013 538717 550823 860363 1597817 1616151 1652469 2581089 3771019 4793451 7003321 8359193 11184719 11313057 21009963 25077579 33554157 49023247 58514351 108669509 147069741 175543053 326008527 743968177 760686563 2231904531 2282059689 5207777239 9671586301 15623331717 29014758903 67701104107 203103312321