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11211000999 = 3111723731771
BaseRepresentation
bin10100111000011101…
…00100110010100111
31001221022110212012020
422130032210302213
5140430004012444
65052242354223
7544550636052
oct123416446247
931838425166
1011211000999
114833354a90
12220a65b973
131098864003
14784d17a99
1545936d119
hex29c3a4ca7

11211000999 has 48 divisors (see below), whose sum is σ = 17791303296. Its totient is φ = 6221836800.

The previous prime is 11211000973. The next prime is 11211001003. The reversal of 11211000999 is 99900011211.

11211000999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11211000999 - 217 = 11210869927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211000949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336984 + ... + 368754.

It is an arithmetic number, because the mean of its divisors is an integer number (370652152).

Almost surely, 211211000999 is an apocalyptic number.

11211000999 is a deficient number, since it is larger than the sum of its proper divisors (6580302297).

11211000999 is a wasteful number, since it uses less digits than its factorization.

11211000999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31856 (or 31839 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 11211000999 in words is "eleven billion, two hundred eleven million, nine hundred ninety-nine", and thus it is an aban number.

Divisors: 1 3 11 17 33 37 51 111 187 289 407 561 629 867 1221 1887 3179 6919 9537 10693 20757 31771 32079 95313 117623 349481 352869 540107 1048443 1175527 1620321 3526581 5941177 9181819 12930797 17823531 19983959 27545457 38792391 59951877 101000009 219823549 303000027 339727303 659470647 1019181909 3737000333 11211000999