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100005004983 = 31341118152957
BaseRepresentation
bin101110100100011000…
…0110100011010110111
3100120010112001121210110
41131020300310122313
53114302240124413
6113535222154103
710140134342202
oct1351060643267
9316115047713
10100005004983
1139459244454
121746b582933
139579872880
144ba99a4939
1529048c78c3
hex1748c346b7

100005004983 has 32 divisors (see below), whose sum is σ = 147226629312. Its totient is φ = 59988556800.

The previous prime is 100005004973. The next prime is 100005004991. The reversal of 100005004983 is 389400500001.

It is not a de Polignac number, because 100005004983 - 26 = 100005004919 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100005004983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005004973) 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 31 ways as a sum of consecutive naturals, for example, 1861941 + ... + 1914897.

It is an arithmetic number, because the mean of its divisors is an integer number (4600832166).

Almost surely, 2100005004983 is an apocalyptic number.

100005004983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100005004983 is a deficient number, since it is larger than the sum of its proper divisors (47221624329).

100005004983 is a wasteful number, since it uses less digits than its factorization.

100005004983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54195.

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 100005004983 its reverse (389400500001), we get a palindrome (489405504984).

The spelling of 100005004983 in words is "one hundred billion, five million, four thousand, nine hundred eighty-three".

Divisors: 1 3 13 39 41 123 533 1181 1599 3543 15353 46059 48421 52957 145263 158871 629473 688441 1888419 2065323 2171237 6513711 28226081 62542217 84678243 187626651 813048821 2439146463 2564230897 7692692691 33335001661 100005004983