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11003023133131 = 3147109131528877
BaseRepresentation
bin1010000000011101011101…
…0010010000100111001011
31102221212201121012202100011
42200013113102100213023
52420233142410230011
635222415151452351
72213641112324461
oct240072722204713
942855647182304
1011003023133131
1135623a078a647
1212985622270b7
1361a771847b23
142a0798c80831
15141331cbc621
hexa01d74909cb

11003023133131 has 32 divisors (see below), whose sum is σ = 11795417948160. Its totient is φ = 10247078275200.

The previous prime is 11003023133083. The next prime is 11003023133177. The reversal of 11003023133131 is 13133132030011.

It is a cyclic number.

It is not a de Polignac number, because 11003023133131 - 235 = 10968663394763 is a prime.

It is a super-2 number, since 2×110030231331312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11003023133231) 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 31 ways as a sum of consecutive naturals, for example, 20540065 + ... + 21068941.

It is an arithmetic number, because the mean of its divisors is an integer number (368606810880).

Almost surely, 211003023133131 is an apocalyptic number.

11003023133131 is a deficient number, since it is larger than the sum of its proper divisors (792394815029).

11003023133131 is a wasteful number, since it uses less digits than its factorization.

11003023133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529195.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 11003023133131 its reverse (13133132030011), we get a palindrome (24136155163142).

The spelling of 11003023133131 in words is "eleven trillion, three billion, twenty-three million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 31 47 109 131 1457 3379 4061 5123 6157 14279 158813 190867 442649 528877 671113 16395187 20804503 24857219 57647593 69282887 770573789 1787075383 2147769497 2709436871 3256295689 7551834683 83992543001 100945166359 234106875173 354936230101 11003023133131