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1331031301232 = 241711382152747
BaseRepresentation
bin10011010111100111101…
…001011101110001110000
311201020121212012212221012
4103113213221131301300
5133301423003114412
62455244540050052
7165110124246353
oct23274751356160
94636555185835
101331031301232
1147353a519096
12195b67833928
1398692038a49
14485ca96c29a
1524953364c22
hex135e7a5dc70

1331031301232 has 80 divisors (see below), whose sum is σ = 2758143547872. Its totient is φ = 620056657920.

The previous prime is 1331031301163. The next prime is 1331031301273. The reversal of 1331031301232 is 2321031301331.

It is a super-2 number, since 2×13310313012322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331031301198 and 1331031301207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25207883 + ... + 25260629.

Almost surely, 21331031301232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331031301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379071773936).

1331031301232 is an abundant number, since it is smaller than the sum of its proper divisors (1427112246640).

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

1331031301232 is a wasteful number, since it uses less digits than its factorization.

1331031301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53706 (or 53700 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1331031301232 its reverse (2321031301331), we get a palindrome (3652062602563).

Subtracting 1331031301232 from its reverse (2321031301331), we obtain a palindrome (990000000099).

The spelling of 1331031301232 in words is "one trillion, three hundred thirty-one billion, thirty-one million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 113 136 226 272 452 821 904 1642 1808 1921 3284 3842 6568 7684 13136 13957 15368 27914 30736 52747 55828 92773 105494 111656 185546 210988 223312 371092 421976 742184 843952 896699 1484368 1577141 1793398 3154282 3586796 5960411 6308564 7173592 11920822 12617128 14347184 23841644 25234256 43305287 47683288 86610574 95366576 101326987 173221148 202653974 346442296 405307948 692884592 736189879 810615896 1472379758 1621231792 2944759516 4893497431 5889519032 9786994862 11779038064 19573989724 39147979448 78295958896 83189456327 166378912654 332757825308 665515650616 1331031301232