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203213144314131 = 37261910092213363
BaseRepresentation
bin101110001101001000111111…
…010001111101000100010011
3222122111222122102112100202020
4232031020333101331010103
5203113421004421023011
62000110455115222523
760542444104332300
oct5615107721750423
9878458572470666
10203213144314131
1159828235233a56
121a96009aa47a43
138950bc036a803
1438277d65b20a7
151876090bb4006
hexb8d23f47d113

203213144314131 has 48 divisors (see below), whose sum is σ = 316009946390400. Its totient is φ = 115819248529152.

The previous prime is 203213144314111. The next prime is 203213144314181. The reversal of 203213144314131 is 131413441312302.

It is a happy number.

It is not a de Polignac number, because 203213144314131 - 214 = 203213144297747 is a prime.

It is a super-2 number, since 2×2032131443141312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203213144314092 and 203213144314101.

It is not an unprimeable number, because it can be changed into a prime (203213144314111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90705256 + ... + 92918618.

It is an arithmetic number, because the mean of its divisors is an integer number (6583540549800).

Almost surely, 2203213144314131 is an apocalyptic number.

203213144314131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

203213144314131 is a deficient number, since it is larger than the sum of its proper divisors (112796802076269).

203213144314131 is a wasteful number, since it uses less digits than its factorization.

203213144314131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215008 (or 2215001 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 203213144314131 its reverse (131413441312302), we get a palindrome (334626585626433).

The spelling of 203213144314131 in words is "two hundred three trillion, two hundred thirteen billion, one hundred forty-four million, three hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 619 1009 1857 3027 4333 7063 12999 21189 30331 49441 90993 148323 624571 1873713 2213363 4371997 6640089 13115991 15493541 30603979 46480623 91811937 108454787 325364361 1370071697 2233283267 4110215091 6699849801 9590501879 15632982869 28771505637 46898948607 67133513153 109430880083 201400539459 328292640249 1382402342273 4147207026819 9676816395911 29030449187733 67737714771377 203213144314131