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11310121332 = 22321997157321
BaseRepresentation
bin10101000100010001…
…01100000101110100
31002012012222200201200
422202020230011310
5141130342340312
65110143052500
7550163305446
oct124210540564
932165880650
1011310121332
1148842a5614
1222378a1130
1310b325a2b3
1479415a496
15462dec0dc
hex2a222c174

11310121332 has 36 divisors (see below), whose sum is σ = 28603971396. Its totient is φ = 3768128640.

The previous prime is 11310121331. The next prime is 11310121373. The reversal of 11310121332 is 23312101311.

11310121332 is a `hidden beast` number, since 1 + 1 + 310 + 1 + 21 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5522867856 + 5787253476 = 74316^2 + 76074^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×113101213322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310121331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6769 + ... + 150552.

It is an arithmetic number, because the mean of its divisors is an integer number (794554761).

Almost surely, 211310121332 is an apocalyptic number.

11310121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11310121332 is an abundant number, since it is smaller than the sum of its proper divisors (17293850064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11310121332 is a wasteful number, since it uses less digits than its factorization.

11310121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159328 (or 159323 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11310121332 its reverse (23312101311), we get a palindrome (34622222643).

The spelling of 11310121332 in words is "eleven billion, three hundred ten million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1997 3994 5991 7988 11982 17973 23964 35946 71892 157321 314642 471963 629284 943926 1415889 1887852 2831778 5663556 314170037 628340074 942510111 1256680148 1885020222 2827530333 3770040444 5655060666 11310121332