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31145130 = 23252911933
BaseRepresentation
bin111011011001…
…1110010101010
32011121100002100
41312303302222
530433121010
63031314230
7525505062
oct166636252
964540070
1031145130
1116642885
12a51b976
1365b6293
1441ca3a2
152b032c0
hex1db3caa

31145130 has 48 divisors (see below), whose sum is σ = 83776680. Its totient is φ = 8018304.

The previous prime is 31145129. The next prime is 31145131. The reversal of 31145130 is 3154113.

It is an interprime number because it is at equal distance from previous prime (31145129) and next prime (31145131).

It can be written as a sum of positive squares in 4 ways, for example, as 29062881 + 2082249 = 5391^2 + 1443^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31145131) 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, 3357 + ... + 8576.

Almost surely, 231145130 is an apocalyptic number.

31145130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31145130 is an abundant number, since it is smaller than the sum of its proper divisors (52631550).

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

31145130 is a wasteful number, since it uses less digits than its factorization.

31145130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11975 (or 11972 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 31145130 is about 5580.7822032400. The cubic root of 31145130 is about 314.6275264824.

Adding to 31145130 its reverse (3154113), we get a palindrome (34299243).

It can be divided in two parts, 31 and 145130, that added together give a square (145161 = 3812).

The spelling of 31145130 in words is "thirty-one million, one hundred forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 11933 23866 35799 59665 71598 107397 119330 178995 214794 346057 357990 536985 692114 1038171 1073970 1730285 2076342 3114513 3460570 5190855 6229026 10381710 15572565 31145130