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1142161020 = 22335711132113
BaseRepresentation
bin100010000010011…
…1111111001111100
32221121011210101000
41010010333321330
54314343123040
6305200250300
740206131340
oct10404777174
92847153330
101142161020
115367a1530
1227a610990
13152823030
14ab995620
156a413130
hex4413fe7c

1142161020 has 384 divisors, whose sum is σ = 4773242880. Its totient is φ = 218972160.

The previous prime is 1142161001. The next prime is 1142161021. The reversal of 1142161020 is 201612411.

1142161020 is a `hidden beast` number, since 1 + 14 + 21 + 610 + 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 = 1142160984 and 1142161002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142161021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 539484 + ... + 541596.

It is an arithmetic number, because the mean of its divisors is an integer number (12430320).

Almost surely, 21142161020 is an apocalyptic number.

1142161020 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 1142161020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386621440).

1142161020 is an abundant number, since it is smaller than the sum of its proper divisors (3631081860).

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

1142161020 is a wasteful number, since it uses less digits than its factorization.

1142161020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1142161020 is about 33795.8728249471. The cubic root of 1142161020 is about 1045.3035968395.

Adding to 1142161020 its reverse (201612411), we get a palindrome (1343773431).

The spelling of 1142161020 in words is "one billion, one hundred forty-two million, one hundred sixty-one thousand, twenty".