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1021314141432 = 23321310782112421
BaseRepresentation
bin11101101110010110001…
…00010000110011111000
310121122012010201222212200
432313023010100303320
5113213122410011212
62101104002310200
7133534054652034
oct16671304206370
93548163658780
101021314141432
11364156230912
12145b30058360
1375403cc0050
14376090911c4
151b877a676dc
hexedcb110cf8

1021314141432 has 192 divisors, whose sum is σ = 3010577038560. Its totient is φ = 310909363200.

The previous prime is 1021314141413. The next prime is 1021314141439. The reversal of 1021314141432 is 2341414131201.

It is a happy number.

1021314141432 is a `hidden beast` number, since 1 + 0 + 213 + 1 + 4 + 1 + 414 + 32 = 666.

1021314141432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1021314141396 and 1021314141405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021314141439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82218582 + ... + 82231002.

Almost surely, 21021314141432 is an apocalyptic number.

1021314141432 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 1021314141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505288519280).

1021314141432 is an abundant number, since it is smaller than the sum of its proper divisors (1989262897128).

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

1021314141432 is a wasteful number, since it uses less digits than its factorization.

1021314141432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13374 (or 13367 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1021314141432 its reverse (2341414131201), we get a palindrome (3362728272633).

The spelling of 1021314141432 in words is "one trillion, twenty-one billion, three hundred fourteen million, one hundred forty-one thousand, four hundred thirty-two".