Search a number
-
+
130010034 = 2373115743
BaseRepresentation
bin1111011111111…
…00101110110010
3100001122012020110
413233330232302
5231240310114
620522322150
73136032000
oct757745662
9301565213
10130010034
1167429510
1237659356
1320c2021b
14133a3a70
15b631759
hex7bfcbb2

130010034 has 64 divisors (see below), whose sum is σ = 330854400. Its totient is φ = 33762960.

The previous prime is 130010009. The next prime is 130010047. The reversal of 130010034 is 430010031.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19767 + ... + 25509.

It is an arithmetic number, because the mean of its divisors is an integer number (5169600).

Almost surely, 2130010034 is an apocalyptic number.

130010034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130010034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165427200).

130010034 is an abundant number, since it is smaller than the sum of its proper divisors (200844366).

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

130010034 is a wasteful number, since it uses less digits than its factorization.

130010034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130010034 is about 11402.1942625093. The cubic root of 130010034 is about 506.5927349613.

Adding to 130010034 its reverse (430010031), we get a palindrome (560020065).

The spelling of 130010034 in words is "one hundred thirty million, ten thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 462 539 686 1029 1078 1617 2058 3234 3773 5743 7546 11319 11486 17229 22638 34458 40201 63173 80402 120603 126346 189519 241206 281407 379038 442211 562814 844221 884422 1326633 1688442 1969849 2653266 3095477 3939698 5909547 6190954 9286431 11819094 18572862 21668339 43336678 65005017 130010034