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1321411421421 = 3272131713558361
BaseRepresentation
bin10011001110101010010…
…000100010010011101101
311200022210102201100200100
4103032222100202103231
5133122222310441141
62451014212421313
7164316543520500
oct23165220422355
94608712640610
101321411421421
1146a453330aa3
12194122017839
13977bb01c380
1447d570b7137
152458da400b6
hex133aa4224ed

1321411421421 has 72 divisors (see below), whose sum is σ = 2531780052984. Its totient is φ = 656007690240.

The previous prime is 1321411421411. The next prime is 1321411421467. The reversal of 1321411421421 is 1241241141231.

1321411421421 is a `hidden beast` number, since 1 + 3 + 214 + 1 + 1 + 4 + 21 + 421 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7201389321 + 1314210032100 = 84861^2 + 1146390^2 .

It is not a de Polignac number, because 1321411421421 - 211 = 1321411419373 is a prime.

It is a super-2 number, since 2×13214114214212 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321411421411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6681720 + ... + 6876641.

It is an arithmetic number, because the mean of its divisors is an integer number (35163611847).

Almost surely, 21321411421421 is an apocalyptic number.

It is an amenable number.

1321411421421 is a deficient number, since it is larger than the sum of its proper divisors (1210368631563).

1321411421421 is a wasteful number, since it uses less digits than its factorization.

1321411421421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13558411 (or 13558401 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 1321411421421 its reverse (1241241141231), we get a palindrome (2562652562652).

The spelling of 1321411421421 in words is "one trillion, three hundred twenty-one billion, four hundred eleven million, four hundred twenty-one thousand, four hundred twenty-one".

Divisors: 1 3 7 9 13 17 21 39 49 51 63 91 117 119 147 153 221 273 357 441 637 663 819 833 1071 1547 1911 1989 2499 4641 5733 7497 10829 13923 32487 97461 13558361 40675083 94908527 122025249 176258693 230492137 284725581 528776079 664359689 691476411 854176743 1233810851 1586328237 1613444959 1993079067 2074429233 2996397781 3701432553 4840334877 5979237201 8636675957 8989193343 11104297659 11294114713 14521004631 20974784467 25910027871 26967580029 33882344139 62924353401 77730083613 101647032417 146823491269 188773060203 440470473807 1321411421421