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1012432101330 = 235131719291911451
BaseRepresentation
bin11101011101110011010…
…01111101111111010010
310120210021010121121102110
432232321221331333102
5113041430104220310
62053034353330150
7133101003604266
oct16567151757722
93523233547373
101012432101330
11360408588701
12144271566956
1374619b01210
14370055c40a6
151b507ddbd20
hexebb9a7dfd2

1012432101330 has 512 divisors, whose sum is σ = 3034954137600. Its totient is φ = 213276672000.

The previous prime is 1012432101293. The next prime is 1012432101337. The reversal of 1012432101330 is 331012342101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1012432101297 and 1012432101306.

It is not an unprimeable number, because it can be changed into a prime (1012432101337) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 697747105 + ... + 697748555.

It is an arithmetic number, because the mean of its divisors is an integer number (5927644800).

Almost surely, 21012432101330 is an apocalyptic number.

1012432101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012432101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517477068800).

1012432101330 is an abundant number, since it is smaller than the sum of its proper divisors (2022522036270).

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

1012432101330 is a wasteful number, since it uses less digits than its factorization.

1012432101330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1012432101330 its reverse (331012342101), we get a palindrome (1343444443431).

The spelling of 1012432101330 in words is "one trillion, twelve billion, four hundred thirty-two million, one hundred one thousand, three hundred thirty".