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1021143420 = 223251117231319
BaseRepresentation
bin111100110111010…
…110100101111100
32122011110110102200
4330313112211330
54042403042140
6245154351500
734206401343
oct7467264574
92564413380
101021143420
11484455190
12245b8b590
13133730b9b
1499892b5a
155e9ab030
hex3cdd697c

1021143420 has 288 divisors, whose sum is σ = 3736212480. Its totient is φ = 222689280.

The previous prime is 1021143419. The next prime is 1021143457. The reversal of 1021143420 is 243411201.

1021143420 is a `hidden beast` number, since 1 + 0 + 211 + 434 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1021143393 and 1021143402.

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 95 ways as a sum of consecutive naturals, for example, 773521 + ... + 774839.

It is an arithmetic number, because the mean of its divisors is an integer number (12972960).

Almost surely, 21021143420 is an apocalyptic number.

1021143420 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 1021143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868106240).

1021143420 is an abundant number, since it is smaller than the sum of its proper divisors (2715069060).

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

1021143420 is a wasteful number, since it uses less digits than its factorization.

1021143420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1021143420 is about 31955.3347658885. The cubic root of 1021143420 is about 1006.9987104486.

Adding to 1021143420 its reverse (243411201), we get a palindrome (1264554621).

It can be divided in two parts, 1021 and 143420, that added together give a palindrome (144441).

The spelling of 1021143420 in words is "one billion, twenty-one million, one hundred forty-three thousand, four hundred twenty".