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1142224130021 = 13378942896221
BaseRepresentation
bin10000100111110001110…
…111010000111111100101
311001012021120012211001012
4100213301313100333211
5122203233334130041
62232421443112005
7145344243624302
oct20476167207745
94035246184035
101142224130021
1140046181a917
12165454672605
138393288a3b0
143d3d91d40a9
151eaa286e3eb
hex109f1dd0fe5

1142224130021 has 32 divisors (see below), whose sum is σ = 1278031154400. Its totient is φ = 1013938421760.

The previous prime is 1142224130009. The next prime is 1142224130057. The reversal of 1142224130021 is 1200314222411.

It can be written as a sum of positive squares in 16 ways, for example, as 312095409025 + 830128720996 = 558655^2 + 911114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1142224130021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142224130521) 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 31 ways as a sum of consecutive naturals, for example, 183604691 + ... + 183610911.

It is an arithmetic number, because the mean of its divisors is an integer number (39938473575).

Almost surely, 21142224130021 is an apocalyptic number.

It is an amenable number.

1142224130021 is a deficient number, since it is larger than the sum of its proper divisors (135807024379).

1142224130021 is a wasteful number, since it uses less digits than its factorization.

1142224130021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10649.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1142224130021 its reverse (1200314222411), we get a palindrome (2342538352432).

The spelling of 1142224130021 in words is "one trillion, one hundred forty-two billion, two hundred twenty-four million, one hundred thirty thousand, twenty-one".

Divisors: 1 13 37 89 481 1157 3293 4289 6221 42809 55757 80873 158693 230177 381721 553669 2063009 2992301 4962373 7197697 14123677 20485753 26681869 183607801 266314789 346864297 987229153 2374686341 12833978989 30870922433 87863394617 1142224130021