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1130121311 = 111912742577
BaseRepresentation
bin100001101011100…
…0100100001011111
32220202112002222212
41003113010201133
54303302340221
6304050231035
740001605214
oct10327044137
92822462885
101130121311
1152aa18960
1227658547b
13150198c47
14aa13db0b
1569335b5b
hex435c485f

1130121311 has 16 divisors (see below), whose sum is σ = 1307996160. Its totient is φ = 965623680.

The previous prime is 1130121281. The next prime is 1130121323. The reversal of 1130121311 is 1131210311.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1130121311 - 210 = 1130120287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130121331) 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, 5255 + ... + 47831.

It is an arithmetic number, because the mean of its divisors is an integer number (81749760).

Almost surely, 21130121311 is an apocalyptic number.

1130121311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1130121311 is a deficient number, since it is larger than the sum of its proper divisors (177874849).

1130121311 is a wasteful number, since it uses less digits than its factorization.

1130121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42734.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1130121311 is about 33617.2769718191. The cubic root of 1130121311 is about 1041.6177088827.

Adding to 1130121311 its reverse (1131210311), we get a palindrome (2261331622).

The spelling of 1130121311 in words is "one billion, one hundred thirty million, one hundred twenty-one thousand, three hundred eleven".

Divisors: 1 11 19 127 209 1397 2413 26543 42577 468347 808963 5407279 8898593 59480069 102738301 1130121311