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1321012431420 = 22351197197104743
BaseRepresentation
bin10011001110010010011…
…110100000101000111100
311200021202121221120021220
4103032102132200220330
5133120413140301140
62450510440553340
7164303630253363
oct23162236405074
94607677846256
101321012431420
1146a2690959a0
12194030482850
1397756472706
1447d1a0d67da
15245689cabd0
hex133927a0a3c

1321012431420 has 192 divisors, whose sum is σ = 4097424393216. Its totient is φ = 315332075520.

The previous prime is 1321012431391. The next prime is 1321012431437. The reversal of 1321012431420 is 241342101231.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12559569 + ... + 12664311.

It is an arithmetic number, because the mean of its divisors is an integer number (21340752048).

Almost surely, 21321012431420 is an apocalyptic number.

1321012431420 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 1321012431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048712196608).

1321012431420 is an abundant number, since it is smaller than the sum of its proper divisors (2776411961796).

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

1321012431420 is a wasteful number, since it uses less digits than its factorization.

1321012431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105060 (or 105058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1321012431420 its reverse (241342101231), we get a palindrome (1562354532651).

The spelling of 1321012431420 in words is "one trillion, three hundred twenty-one billion, twelve million, four hundred thirty-one thousand, four hundred twenty".