Search a number
-
+
100733881 is a prime number
BaseRepresentation
bin1100000000100…
…01001110111001
321000112210220111
412000101032321
5201241441011
613555024321
72332136533
oct600211671
9230483814
10100733881
1151952946
122989b0a1
1317b3c861
14d542853
158c9c121
hex60113b9

100733881 has 2 divisors, whose sum is σ = 100733882. Its totient is φ = 100733880.

The previous prime is 100733873. The next prime is 100733887. The reversal of 100733881 is 188337001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75533481 + 25200400 = 8691^2 + 5020^2 .

It is a cyclic number.

It is not a de Polignac number, because 100733881 - 23 = 100733873 is a prime.

It is a super-2 number, since 2×1007338812 = 20294629562644322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100733887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50366940 + 50366941.

It is an arithmetic number, because the mean of its divisors is an integer number (50366941).

Almost surely, 2100733881 is an apocalyptic number.

It is an amenable number.

100733881 is a deficient number, since it is larger than the sum of its proper divisors (1).

100733881 is an equidigital number, since it uses as much as digits as its factorization.

100733881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 100733881 is about 10036.6269732416. The cubic root of 100733881 is about 465.2915749458.

The spelling of 100733881 in words is "one hundred million, seven hundred thirty-three thousand, eight hundred eighty-one".