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100023132105 = 32513190789659
BaseRepresentation
bin101110100100111010…
…1111101111111001001
3100120011210011120112100
41131021311331333021
53114321410211410
6113541110504013
710140444411021
oct1351165757711
9316153146470
10100023132105
11394684a5646
1217475665009
13958054b690
144bac162a81
1529062a88c0
hex1749d7dfc9

100023132105 has 48 divisors (see below), whose sum is σ = 186809837760. Its totient is φ = 49215786624.

The previous prime is 100023132103. The next prime is 100023132173. The reversal of 100023132105 is 501231320001.

It is not a de Polignac number, because 100023132105 - 21 = 100023132103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100023132103) 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, 1070766 + ... + 1160424.

It is an arithmetic number, because the mean of its divisors is an integer number (3891871620).

Almost surely, 2100023132105 is an apocalyptic number.

100023132105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100023132105 is a deficient number, since it is larger than the sum of its proper divisors (86786705655).

100023132105 is a wasteful number, since it uses less digits than its factorization.

100023132105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91590 (or 91587 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 100023132105 its reverse (501231320001), we get a palindrome (601254452106).

The spelling of 100023132105 in words is "one hundred billion, twenty-three million, one hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1907 5721 9535 17163 24791 28605 74373 85815 89659 123955 223119 268977 371865 448295 806931 1115595 1165567 1344885 3496701 4034655 5827835 10490103 17483505 52450515 170979713 512939139 854898565 1538817417 2222736269 2564695695 6668208807 7694087085 11113681345 20004626421 33341044035 100023132105