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203142104121033 = 327116722971904719
BaseRepresentation
bin101110001100000110110100…
…111101000111111011001001
3222122021012021111212122012100
4232030012310331013323021
5203111240012123333113
62000014105545304013
760534350466550560
oct5614066475077311
9878235244778170
10203142104121033
115980009a966470
121a94a373795009
1389472ab5825ac
1438241b7788bd7
1518742d40d2d73
hexb8c1b4f47ec9

203142104121033 has 96 divisors (see below), whose sum is σ = 371453679267840. Its totient is φ = 103908004865280.

The previous prime is 203142104121031. The next prime is 203142104121043. The reversal of 203142104121033 is 330121401241302.

203142104121033 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 4 + 210 + 412 + 1 + 0 + 33 = 666.

It is not a de Polignac number, because 203142104121033 - 21 = 203142104121031 is a prime.

It is a super-2 number, since 2×2031421041210332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203142104120988 and 203142104121006.

It is not an unprimeable number, because it can be changed into a prime (203142104121031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105699648 + ... + 107604366.

It is an arithmetic number, because the mean of its divisors is an integer number (3869309159040).

Almost surely, 2203142104121033 is an apocalyptic number.

It is an amenable number.

203142104121033 is a deficient number, since it is larger than the sum of its proper divisors (168311575146807).

203142104121033 is a wasteful number, since it uses less digits than its factorization.

203142104121033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907107 (or 1907104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 203142104121033 its reverse (330121401241302), we get a palindrome (533263505362335).

The spelling of 203142104121033 in words is "two hundred three trillion, one hundred forty-two billion, one hundred four million, one hundred twenty-one thousand, thirty-three".

Divisors: 1 3 7 9 11 21 33 63 67 77 99 201 231 469 603 693 737 1407 2211 2297 4221 5159 6633 6891 15477 16079 20673 25267 46431 48237 75801 144711 153899 176869 227403 461697 530607 1077293 1385091 1591821 1692889 1904719 3231879 5078667 5714157 9695637 11850223 13333033 15236001 17142471 20951909 35550669 39999099 62855727 106652007 119997297 127616173 146663363 188567181 382848519 439990089 893313211 1148545557 1319970267 1403777903 2679939633 4211333709 4375139543 8039818899 9826445321 12634001127 13125418629 29479335963 30625976801 39376255887 48126534973 88438007889 91877930403 144379604919 275633791209 293134349381 336885744811 433138814757 879403048143 1010657234433 2051940445667 2638209144429 3031971703299 3224477843191 6155821337001 9673433529573 18467464011003 22571344902337 29020300588719 67714034707011 203142104121033