Search a number
-
+
990001010100111 = 3101232349802637
BaseRepresentation
bin1110000100011001101001001…
…0100010001100011110001111
311210211022011122120121102212220
43201012122102202030132033
52014230134032041200421
613425320104020230423
7415346132634333402
oct34106322242143617
94724264576542786
10990001010100111
11267499085a237a9
12930509b323b413
1333653905264629
14136684399a3d39
15796c2e8dd23c6
hex384669288c78f

990001010100111 has 12 divisors (see below), whose sum is σ = 1333200066317256. Its totient is φ = 653466013247200.

The previous prime is 990001010100031. The next prime is 990001010100119. The reversal of 990001010100111 is 111001010100099.

It is not a de Polignac number, because 990001010100111 - 211 = 990001010098063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990001010100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16174870716 + ... + 16174931921.

It is an arithmetic number, because the mean of its divisors is an integer number (111100005526438).

Almost surely, 2990001010100111 is an apocalyptic number.

990001010100111 is a deficient number, since it is larger than the sum of its proper divisors (343199056217145).

990001010100111 is a wasteful number, since it uses less digits than its factorization.

990001010100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32349802842 (or 32349802741 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 24.

The spelling of 990001010100111 in words is "nine hundred ninety trillion, one billion, ten million, one hundred thousand, one hundred eleven".

Divisors: 1 3 101 303 10201 30603 32349802637 97049407911 3267330066337 9801990199011 330000336700037 990001010100111