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1144057211 = 111760710079
BaseRepresentation
bin100010000110000…
…1110110101111011
32221201202010110022
41010030032311323
54320334312321
6305305041055
740231216523
oct10414166573
92851663408
101144057211
11537877130
1227b18618b
1315303813b
14abd2a683
156a689dab
hex4430ed7b

1144057211 has 16 divisors (see below), whose sum is σ = 1323786240. Its totient is φ = 977162880.

The previous prime is 1144057193. The next prime is 1144057217. The reversal of 1144057211 is 1127504411.

It is a cyclic number.

It is not a de Polignac number, because 1144057211 - 26 = 1144057147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1144057217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108470 + ... + 118548.

It is an arithmetic number, because the mean of its divisors is an integer number (82736640).

Almost surely, 21144057211 is an apocalyptic number.

1144057211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1144057211 is a deficient number, since it is larger than the sum of its proper divisors (179729029).

1144057211 is a wasteful number, since it uses less digits than its factorization.

1144057211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10714.

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 1144057211 is about 33823.9147793392. The cubic root of 1144057211 is about 1045.8817404845.

The spelling of 1144057211 in words is "one billion, one hundred forty-four million, fifty-seven thousand, two hundred eleven".

Divisors: 1 11 17 187 607 6677 10079 10319 110869 113509 171343 1884773 6117953 67297483 104005201 1144057211