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1030100031 = 33411098537
BaseRepresentation
bin111101011001100…
…001010000111111
32122210022111121000
4331121201100333
54102201200111
6250114341343
734345464042
oct7531412077
92583274530
101030100031
11489512444
12248b8a853
1313554885c
149ab44c59
1560679c56
hex3d66143f

1030100031 has 32 divisors (see below), whose sum is σ = 1577822400. Its totient is φ = 663759360.

The previous prime is 1030100003. The next prime is 1030100033. The reversal of 1030100031 is 1300010301.

It is not a de Polignac number, because 1030100031 - 25 = 1030099999 is a prime.

It is a super-2 number, since 2×10301000312 = 2122212147732401922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1030099986 and 1030100022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030100033) 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 31 ways as a sum of consecutive naturals, for example, 116395 + ... + 124931.

It is an arithmetic number, because the mean of its divisors is an integer number (49306950).

Almost surely, 21030100031 is an apocalyptic number.

1030100031 is a deficient number, since it is larger than the sum of its proper divisors (547722369).

1030100031 is a wasteful number, since it uses less digits than its factorization.

1030100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8696 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1030100031 is about 32095.1714592709. The cubic root of 1030100031 is about 1009.9343260241.

Adding to 1030100031 its reverse (1300010301), we get a palindrome (2330110332).

The spelling of 1030100031 in words is "one billion, thirty million, one hundred thousand, thirty-one".

Divisors: 1 3 9 27 41 109 123 327 369 981 1107 2943 4469 8537 13407 25611 40221 76833 120663 230499 350017 930533 1050051 2791599 3150153 8374797 9450459 25124391 38151853 114455559 343366677 1030100031