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10203211112031 = 337177197461101
BaseRepresentation
bin1001010001111001111011…
…0001100001111001011111
31100010102021022210022221000
42110132132301201321133
52314132134021041111
633411142424241343
72102105040322050
oct224363661417137
940112238708830
1010203211112031
113284180748213
12118954a910253
1359020a806c92
14273ba388c727
1512a62025cc56
hex9479ec61e5f

10203211112031 has 128 divisors (see below), whose sum is σ = 18740365701120. Its totient is φ = 5354366976000.

The previous prime is 10203211112011. The next prime is 10203211112033. The reversal of 10203211112031 is 13021111230201.

10203211112031 is a `hidden beast` number, since 10 + 20 + 321 + 111 + 203 + 1 = 666.

It is not a de Polignac number, because 10203211112031 - 211 = 10203211109983 is a prime.

It is a super-2 number, since 2×102032111120312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10203211111995 and 10203211112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203211112033) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21897381 + ... + 22358481.

It is an arithmetic number, because the mean of its divisors is an integer number (146409107040).

Almost surely, 210203211112031 is an apocalyptic number.

10203211112031 is a deficient number, since it is larger than the sum of its proper divisors (8537154589089).

10203211112031 is a wasteful number, since it uses less digits than its factorization.

10203211112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461302 (or 461296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10203211112031 its reverse (13021111230201), we get a palindrome (23224322342232).

The spelling of 10203211112031 in words is "ten trillion, two hundred three billion, two hundred eleven million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 7 9 17 21 27 51 63 71 97 119 153 189 213 291 357 459 497 639 679 873 1071 1207 1491 1649 1917 2037 2619 3213 3621 4473 4947 6111 6887 8449 10863 11543 13419 14841 18333 20661 25347 32589 34629 44523 48209 61983 76041 103887 117079 144627 185949 228123 311661 351237 433881 461101 819553 1053711 1301643 1383303 2458659 3161133 3227707 4149909 7375977 7838717 9683121 12449727 22127931 23516151 29049363 32738171 44726797 54871019 70548453 87148089 98214513 134180391 164613057 211645359 229167197 294643539 313087579 402541173 493839171 556548907 687501591 760355549 883930617 939262737 1207623519 1481517513 1669646721 2062504773 2281066647 2817788211 3175602587 3895842349 5008940163 5322488843 6187514319 6843199941 8453364633 9526807761 11687527047 15026820489 15967466529 20529599823 22229218109 28580423283 35062581141 47902399587 53985243979 66687654327 85741269849 105187743423 143707198761 161955731937 200062962981 377896707853 485867195811 600188888943 1133690123559 1457601587433 3401070370677 10203211112031