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1032233113032 = 2331161101773821
BaseRepresentation
bin11110000010101011110…
…00110101010111001000
310122200101002201020001020
433001111320311113020
5113403003134104112
62110111253552440
7134401461456342
oct17012570652710
93580332636036
101032233113032
11368849755890
12148078945720
13764541b71a4
1437d632ac292
151bcb644d48c
hexf055e355c8

1032233113032 has 256 divisors, whose sum is σ = 2896924227840. Its totient is φ = 303859200000.

The previous prime is 1032233113013. The next prime is 1032233113057. The reversal of 1032233113032 is 2303113322301.

1032233113032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1032233112993 and 1032233113011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1257287182 + ... + 1257288002.

It is an arithmetic number, because the mean of its divisors is an integer number (11316110265).

Almost surely, 21032233113032 is an apocalyptic number.

1032233113032 is a gapful number since it is divisible by the number (12) 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 1032233113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448462113920).

1032233113032 is an abundant number, since it is smaller than the sum of its proper divisors (1864691114808).

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

1032233113032 is a wasteful number, since it uses less digits than its factorization.

1032233113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1032233113032 its reverse (2303113322301), we get a palindrome (3335346435333).

The spelling of 1032233113032 in words is "one trillion, thirty-two billion, two hundred thirty-three million, one hundred thirteen thousand, thirty-two".