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8030008103 = 137329328879
BaseRepresentation
bin1110111101010000…
…00011001100100111
3202201121212200021112
413132220003030213
5112421140224403
63404450535235
7402663641225
oct73650031447
922647780245
108030008103
113450803a37
12168129751b
139ac81b9b0
14562679b15
1531ee769d8
hex1dea03327

8030008103 has 16 divisors (see below), whose sum is σ = 8796385920. Its totient is φ = 7285572864.

The previous prime is 8030008093. The next prime is 8030008109. The reversal of 8030008103 is 3018000308.

It is not a de Polignac number, because 8030008103 - 24 = 8030008087 is a prime.

It is a super-3 number, since 3×80300081033 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

8030008103 is a modest number, since divided by 8103 gives 8030 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8030008109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263618 + ... + 292496.

It is an arithmetic number, because the mean of its divisors is an integer number (549774120).

Almost surely, 28030008103 is an apocalyptic number.

8030008103 is a deficient number, since it is larger than the sum of its proper divisors (766377817).

8030008103 is a wasteful number, since it uses less digits than its factorization.

8030008103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29258.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 8030008103 is about 89610.3124813210. The cubic root of 8030008103 is about 2002.4975550611.

The spelling of 8030008103 in words is "eight billion, thirty million, eight thousand, one hundred three".

Divisors: 1 13 73 293 949 3809 21389 28879 278057 375427 2108167 8461547 27406171 110000111 617692931 8030008103