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103552040339 = 11257115331769
BaseRepresentation
bin110000001110000101…
…1101011110110010011
3100220021201102200120022
41200130023223312103
53144033310242324
6115323211334055
710324054551146
oct1403413536623
9326251380508
10103552040339
113aa09477630
121809b45132b
1399c369a067
145024ac805d
152a60ec605e
hex181c2ebd93

103552040339 has 16 divisors (see below), whose sum is σ = 113507347680. Its totient is φ = 93687644160.

The previous prime is 103552040309. The next prime is 103552040393. The reversal of 103552040339 is 933040255301.

It is not a de Polignac number, because 103552040339 - 228 = 103283604883 is a prime.

It is a super-3 number, since 3×1035520403393 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103552040299 and 103552040308.

It is not an unprimeable number, because it can be changed into a prime (103552040309) 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 15 ways as a sum of consecutive naturals, for example, 3243647 + ... + 3275415.

It is an arithmetic number, because the mean of its divisors is an integer number (7094209230).

Almost surely, 2103552040339 is an apocalyptic number.

103552040339 is a deficient number, since it is larger than the sum of its proper divisors (9955307341).

103552040339 is a wasteful number, since it uses less digits than its factorization.

103552040339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33190.

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 103552040339 in words is "one hundred three billion, five hundred fifty-two million, forty thousand, three hundred thirty-nine".

Divisors: 1 11 257 1153 2827 12683 31769 296321 349459 3259531 8164633 36629657 89810963 402926227 9413821849 103552040339