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1030103031 = 31922573701
BaseRepresentation
bin111101011001100…
…001111111110111
32122210022122201010
4331121201333313
54102201244111
6250114403303
734345505556
oct7531417767
92583278633
101030103031
11489514721
12248b90533
1313554a029
149ab45d9d
156067aaa6
hex3d661ff7

1030103031 has 24 divisors (see below), whose sum is σ = 1455596784. Its totient is φ = 647884800.

The previous prime is 1030103023. The next prime is 1030103057. The reversal of 1030103031 is 1303010301.

It is not a de Polignac number, because 1030103031 - 23 = 1030103023 is a prime.

It is a super-2 number, since 2×10301030312 = 2122224508950773922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030102998 and 1030103016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030101031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276481 + ... + 280181.

It is an arithmetic number, because the mean of its divisors is an integer number (60649866).

Almost surely, 21030103031 is an apocalyptic number.

1030103031 is a deficient number, since it is larger than the sum of its proper divisors (425493753).

1030103031 is a wasteful number, since it uses less digits than its factorization.

1030103031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1030103031 is about 32095.2181952390. The cubic root of 1030103031 is about 1009.9353064467.

Adding to 1030103031 its reverse (1303010301), we get a palindrome (2333113332).

The spelling of 1030103031 in words is "one billion, thirty million, one hundred three thousand, thirty-one".

Divisors: 1 3 19 57 257 361 771 1083 3701 4883 11103 14649 70319 92777 210957 278331 951157 1336061 2853471 4008183 18071983 54215949 343367677 1030103031