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103348232977 = 11193115951263
BaseRepresentation
bin110000001000000001…
…0001110001100010001
3100212202111221012102111
41200100002032030101
53143124121423402
6115251051145321
710316031325453
oct1402002161421
9325674835374
10103348232977
113a9144240a0
1218043145241
1399903abaa2
1450059d42d3
152a4d1689d7
hex181008e311

103348232977 has 16 divisors (see below), whose sum is σ = 122505707520. Its totient is φ = 86136814800.

The previous prime is 103348232963. The next prime is 103348233007. The reversal of 103348232977 is 779232843301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103348232977 is a prime.

It is a super-3 number, since 3×1033482329773 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103348232977.

It is not an unprimeable number, because it can be changed into a prime (103348232917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7969153 + ... + 7982110.

It is an arithmetic number, because the mean of its divisors is an integer number (7656606720).

Almost surely, 2103348232977 is an apocalyptic number.

It is an amenable number.

103348232977 is a deficient number, since it is larger than the sum of its proper divisors (19157474543).

103348232977 is a wasteful number, since it uses less digits than its factorization.

103348232977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15951324.

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 103348232977 in words is "one hundred three billion, three hundred forty-eight million, two hundred thirty-two thousand, nine hundred seventy-seven".

Divisors: 1 11 19 31 209 341 589 6479 15951263 175463893 303073997 494489153 3333813967 5439380683 9395293907 103348232977