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1031311021 = 132910925097
BaseRepresentation
bin111101011110001…
…000111010101101
32122212121000202111
4331132020322231
54103003423041
6250200324021
734361666446
oct7536107255
92585530674
101031311021
1148a16a264
12249473611
13135880b10
149ad7c2cd
1560818981
hex3d788ead

1031311021 has 16 divisors (see below), whose sum is σ = 1159527600. Its totient is φ = 910683648.

The previous prime is 1031311009. The next prime is 1031311037. The reversal of 1031311021 is 1201131301.

It can be written as a sum of positive squares in 8 ways, for example, as 36602500 + 994708521 = 6050^2 + 31539^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031311021 - 27 = 1031310893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1031310992 and 1031311010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031311121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28545 + ... + 53641.

It is an arithmetic number, because the mean of its divisors is an integer number (72470475).

Almost surely, 21031311021 is an apocalyptic number.

It is an amenable number.

1031311021 is a deficient number, since it is larger than the sum of its proper divisors (128216579).

1031311021 is a wasteful number, since it uses less digits than its factorization.

1031311021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25248.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1031311021 is about 32114.0315282899. The cubic root of 1031311021 is about 1010.3299320762.

Adding to 1031311021 its reverse (1201131301), we get a palindrome (2232442322).

The spelling of 1031311021 in words is "one billion, thirty-one million, three hundred eleven thousand, twenty-one".

Divisors: 1 13 29 109 377 1417 3161 25097 41093 326261 727813 2735573 9461569 35562449 79331617 1031311021