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10103203311201 = 32711131121456689
BaseRepresentation
bin1001001100000101010111…
…0110000010111001100001
31022202212010121110122221200
42103001111312002321201
52311012330021424301
633253203022111413
72061634540123440
oct223012566027141
938685117418850
1010103203311201
113245820974250
12117209a41b569
135839604c5980
1426cdd779ad57
15127c1a4d1c86
hex93055d82e61

10103203311201 has 48 divisors (see below), whose sum is σ = 19594091287680. Its totient is φ = 4844692892160.

The previous prime is 10103203311191. The next prime is 10103203311203. The reversal of 10103203311201 is 10211330230101.

10103203311201 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 320 + 331 + 12 + 0 + 1 = 666.

It is not a de Polignac number, because 10103203311201 - 214 = 10103203294817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10103203311203) 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, 560719336 + ... + 560737353.

It is an arithmetic number, because the mean of its divisors is an integer number (408210235160).

Almost surely, 210103203311201 is an apocalyptic number.

10103203311201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10103203311201 is a deficient number, since it is larger than the sum of its proper divisors (9490887976479).

10103203311201 is a wasteful number, since it uses less digits than its factorization.

10103203311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121456726 (or 1121456723 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10103203311201 its reverse (10211330230101), we get a palindrome (20314533541302).

The spelling of 10103203311201 in words is "ten trillion, one hundred three billion, two hundred three million, three hundred eleven thousand, two hundred one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 1121456689 3364370067 7850196823 10093110201 12336023579 14578936957 23550590469 37008070737 43736810871 70651771407 86352165053 102052558699 111024212211 131210432613 160368306527 259056495159 306157676097 481104919581 777169485477 918473028291 1122578145689 1443314758743 3367734437067 10103203311201