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1132300333001 = 29261154914249
BaseRepresentation
bin10000011110100010010…
…110111110111111001001
311000020122221211200202102
4100132202112332333021
5122022422341124001
62224101021443145
7144543313012415
oct20364226767711
94006587750672
101132300333001
113a722a023282
121635451104b5
1382a10900c56
143cb37229d45
151e6c1514e6b
hex107a25befc9

1132300333001 has 24 divisors (see below), whose sum is σ = 1192769175000. Its totient is φ = 1074563642880.

The previous prime is 1132300332967. The next prime is 1132300333007. The reversal of 1132300333001 is 1003330032311.

It can be written as a sum of positive squares in 12 ways, for example, as 394479461776 + 737820871225 = 628076^2 + 858965^2 .

It is not a de Polignac number, because 1132300333001 - 214 = 1132300316617 is a prime.

It is a super-2 number, since 2×11323003330012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1132300333007) 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 23 ways as a sum of consecutive naturals, for example, 79458125 + ... + 79472373.

It is an arithmetic number, because the mean of its divisors is an integer number (49698715625).

Almost surely, 21132300333001 is an apocalyptic number.

It is an amenable number.

1132300333001 is a deficient number, since it is larger than the sum of its proper divisors (60468841999).

1132300333001 is a wasteful number, since it uses less digits than its factorization.

1132300333001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15917 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1132300333001 its reverse (1003330032311), we get a palindrome (2135630365312).

The spelling of 1132300333001 in words is "one trillion, one hundred thirty-two billion, three hundred million, three hundred thirty-three thousand, one".

Divisors: 1 29 61 841 1549 1769 14249 44921 51301 94489 413221 869189 1302709 2740181 11983409 22071701 25206481 79465249 640079329 730987949 1346373761 18562300541 39044839069 1132300333001