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1321341304420 = 225192953192037
BaseRepresentation
bin10011001110100110000…
…101000011111001100100
311200022121112210001020101
4103032212011003321210
5133122101333220140
62451003225513444
7164315032525654
oct23164605037144
94608545701211
101321341304420
1146a4177a0065
12194102642884
13977a963c517
1447d4ba64364
15245877de99a
hex133a6143e64

1321341304420 has 72 divisors (see below), whose sum is σ = 2931634440504. Its totient is φ = 500190792192.

The previous prime is 1321341304403. The next prime is 1321341304429. The reversal of 1321341304420 is 244031431231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10714734144 + 1310626570276 = 103512^2 + 1144826^2 .

It is a super-2 number, since 2×13213413044202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1321341304429) 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 23 ways as a sum of consecutive naturals, for example, 6784642 + ... + 6976678.

It is an arithmetic number, because the mean of its divisors is an integer number (40717145007).

Almost surely, 21321341304420 is an apocalyptic number.

1321341304420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321341304420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465817220252).

1321341304420 is an abundant number, since it is smaller than the sum of its proper divisors (1610293136084).

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

1321341304420 is a wasteful number, since it uses less digits than its factorization.

1321341304420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193037 (or 193016 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1321341304420 its reverse (244031431231), we get a palindrome (1565372735651).

The spelling of 1321341304420 in words is "one trillion, three hundred twenty-one billion, three hundred forty-one million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 953 1444 1805 1906 3610 3812 4765 7220 9530 18107 19060 36214 72428 90535 181070 192037 344033 362140 384074 688066 768148 960185 1376132 1720165 1920370 3440330 3648703 3840740 6880660 7297406 14594812 18243515 36487030 69325357 72974060 138650714 183011261 277301428 346626785 366022522 693253570 732045044 915056305 1386507140 1830112610 3477213959 3660225220 6954427918 13908855836 17386069795 34772139590 66067065221 69544279180 132134130442 264268260884 330335326105 660670652210 1321341304420