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100305887 = 111572412
BaseRepresentation
bin1011111101010…
…00101111011111
320222202001210212
411332220233133
5201134242022
613541523035
72325404663
oct576505737
9228661725
10100305887
1151690330
122971347b
1317a1cac6
14d4708a3
158c153e2
hex5fa8bdf

100305887 has 12 divisors (see below), whose sum is σ = 110580408. Its totient is φ = 90230400.

The previous prime is 100305823. The next prime is 100305917. The reversal of 100305887 is 788503001.

It is not a de Polignac number, because 100305887 - 26 = 100305823 is a prime.

It is a super-2 number, since 2×1003058872 = 20122541933713538, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100305817) 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 11 ways as a sum of consecutive naturals, for example, 416087 + ... + 416327.

It is an arithmetic number, because the mean of its divisors is an integer number (9215034).

Almost surely, 2100305887 is an apocalyptic number.

100305887 is a deficient number, since it is larger than the sum of its proper divisors (10274521).

100305887 is an equidigital number, since it uses as much as digits as its factorization.

100305887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 100305887 is about 10015.2826719968. The cubic root of 100305887 is about 464.6316688532.

Adding to 100305887 its reverse (788503001), we get a palindrome (888808888).

The spelling of 100305887 in words is "one hundred million, three hundred five thousand, eight hundred eighty-seven".

Divisors: 1 11 157 241 1727 2651 37837 58081 416207 638891 9118717 100305887