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1322120012031 = 337132112550253
BaseRepresentation
bin10011001111010100011…
…111100110000011111111
311200101121211001111021000
4103033110133212003333
5133130200210341111
62451212404141343
7164343236451360
oct23172437460377
94611554044230
101322120012031
1146a787308675
1219429b397853
13978a1a78960
1447dc3249b67
15245d0d5cc56
hex133d47e60ff

1322120012031 has 64 divisors (see below), whose sum is σ = 2422129239040. Its totient is φ = 694076584320.

The previous prime is 1322120012011. The next prime is 1322120012041. The reversal of 1322120012031 is 1302100212231.

It is not a de Polignac number, because 1322120012031 - 26 = 1322120011967 is a prime.

It is a super-2 number, since 2×13221200120312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322120011995 and 1322120012013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322120012011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 756700 + ... + 1793553.

It is an arithmetic number, because the mean of its divisors is an integer number (37845769360).

Almost surely, 21322120012031 is an apocalyptic number.

1322120012031 is a deficient number, since it is larger than the sum of its proper divisors (1100009227009).

1322120012031 is a wasteful number, since it uses less digits than its factorization.

1322120012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550493 (or 2550487 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1322120012031 its reverse (1302100212231), we get a palindrome (2624220224262).

It can be divided in two parts, 13221200 and 12031, that added together give a palindrome (13233231).

The spelling of 1322120012031 in words is "one trillion, three hundred twenty-two billion, one hundred twenty million, twelve thousand, thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 211 273 351 633 819 1477 1899 2457 2743 4431 5697 8229 13293 19201 24687 39879 57603 74061 172809 518427 2550253 7650759 17851771 22952277 33153289 53555313 68856831 99459867 160665939 232073023 298379601 481997817 538103383 696219069 895138803 1614310149 2088657207 3766723681 4842930447 6265971621 6995343979 11300171043 14528791341 20986031937 33900513129 48967407853 62958095811 101701539387 146902223559 188874287433 440706670677 1322120012031