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1023031220 = 22551151561
BaseRepresentation
bin111100111110100…
…011011110110100
32122022000101000012
4330332203132310
54043343444340
6245303035352
734231423211
oct7476433664
92568011005
101023031220
11485524552
1224673bb58
13133c42223
1499c24b08
155ec30565
hex3cfa37b4

1023031220 has 12 divisors (see below), whose sum is σ = 2148365604. Its totient is φ = 409212480.

The previous prime is 1023031213. The next prime is 1023031223. The reversal of 1023031220 is 221303201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 211237156 + 811794064 = 14534^2 + 28492^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1023031195 and 1023031204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023031223) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 25575761 + ... + 25575800.

It is an arithmetic number, because the mean of its divisors is an integer number (179030467).

Almost surely, 21023031220 is an apocalyptic number.

1023031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023031220 is an abundant number, since it is smaller than the sum of its proper divisors (1125334384).

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

1023031220 is a wasteful number, since it uses less digits than its factorization.

1023031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51151570 (or 51151568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1023031220 is about 31984.8592305797. The cubic root of 1023031220 is about 1007.6188786037.

Adding to 1023031220 its reverse (221303201), we get a palindrome (1244334421).

The spelling of 1023031220 in words is "one billion, twenty-three million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 51151561 102303122 204606244 255757805 511515610 1023031220