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13103000102011 = 1724738313031933
BaseRepresentation
bin1011111010101100011110…
…1010101010010001111011
31201101122010121100211210111
42332223013222222101323
53204134421011231021
643511233554125151
72521442362126111
oct276530752522173
951348117324714
1013103000102011
1141a1a50a65946
1215775482807b7
137407b8bb6941
1433428d6b7ab1
1517ac8be858e1
hexbeac7aaa47b

13103000102011 has 48 divisors (see below), whose sum is σ = 14270687576064. Its totient is φ = 12022871486976.

The previous prime is 13103000102009. The next prime is 13103000102029. The reversal of 13103000102011 is 11020100030131.

It is not a de Polignac number, because 13103000102011 - 21 = 13103000102009 is a prime.

It is a super-2 number, since 2×131030001020112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13103000101982 and 13103000102000.

It is not an unprimeable number, because it can be changed into a prime (13103000102081) 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, 6778581601 + ... + 6778583533.

It is an arithmetic number, because the mean of its divisors is an integer number (297305991168).

Almost surely, 213103000102011 is an apocalyptic number.

13103000102011 is a deficient number, since it is larger than the sum of its proper divisors (1167687474053).

13103000102011 is a wasteful number, since it uses less digits than its factorization.

13103000102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13103000102011 its reverse (11020100030131), we get a palindrome (24123100132142).

The spelling of 13103000102011 in words is "thirteen trillion, one hundred three billion, one hundred two thousand, eleven".

Divisors: 1 17 47 289 383 799 1303 1933 6511 13583 18001 22151 32861 61241 90851 110687 306017 376567 499049 558637 740339 1041097 1544467 2518699 5202289 8483833 12585763 17698649 23455303 26255939 34795933 42817883 118378853 144225161 213957971 398740151 591530861 727904011 964661717 2012440501 6778582567 10056024637 16399249189 34211488517 45339100699 278787236213 770764711883 13103000102011