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1021010311320 = 233541719533067
BaseRepresentation
bin11101101101110001111…
…01001111100010011000
310121121101222000211022120
432312320331033202120
5113212012114430240
62101013510221240
7133523405310666
oct16667075174230
93547358024276
101021010311320
1136400a78084a
12145a66354820
1375386080b0c
14375ba9a1c36
151b85b04dad0
hexedb8f4f898

1021010311320 has 256 divisors, whose sum is σ = 3186309934080. Its totient is φ = 261527347200.

The previous prime is 1021010311319. The next prime is 1021010311429. The reversal of 1021010311320 is 231130101201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021010311320.

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 63 ways as a sum of consecutive naturals, for example, 332900427 + ... + 332903493.

It is an arithmetic number, because the mean of its divisors is an integer number (12446523180).

Almost surely, 21021010311320 is an apocalyptic number.

1021010311320 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 1021010311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593154967040).

1021010311320 is an abundant number, since it is smaller than the sum of its proper divisors (2165299622760).

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

1021010311320 is a wasteful number, since it uses less digits than its factorization.

1021010311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1021010311320 its reverse (231130101201), we get a palindrome (1252140412521).

The spelling of 1021010311320 in words is "one trillion, twenty-one billion, ten million, three hundred eleven thousand, three hundred twenty".