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99960003 = 321113101769
BaseRepresentation
bin1011111010101…
…00010011000011
320222002111100100
411331110103003
5201042210003
613530253443
72322434403
oct575242303
9228074310
1099960003
1151474480
1229587283
131792b540
14d3c0803
158b97ba3
hex5f544c3

99960003 has 48 divisors (see below), whose sum is σ = 171531360. Its totient is φ = 55296000.

The previous prime is 99959999. The next prime is 99960011. The reversal of 99960003 is 30006999.

It is a Cunningham number, because it is equal to 99982-1.

It is not a de Polignac number, because 99960003 - 22 = 99959999 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99960003.

It is not an unprimeable number, because it can be changed into a prime (99960053) 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, 129603 + ... + 130371.

It is an arithmetic number, because the mean of its divisors is an integer number (3573570).

Almost surely, 299960003 is an apocalyptic number.

99960003 is a deficient number, since it is larger than the sum of its proper divisors (71571357).

99960003 is a wasteful number, since it uses less digits than its factorization.

99960003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 99960003 is about 9997.9999499900. Note that the first 4 decimals coincide. The cubic root of 99960003 is about 464.0969918994.

The spelling of 99960003 in words is "ninety-nine million, nine hundred sixty thousand, three".

Divisors: 1 3 9 11 13 33 39 99 101 117 143 303 429 769 909 1111 1287 1313 2307 3333 3939 6921 8459 9997 9999 11817 14443 25377 29991 43329 76131 77669 89973 109967 129987 233007 329901 699021 854359 989703 1009697 2563077 3029091 7689231 9087273 11106667 33320001 99960003