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101000130 = 235711231901
BaseRepresentation
bin1100000010100…
…10001111000010
321001001100010120
412001102033002
5201324001010
614004441110
72334326010
oct601221702
9231040116
10101000130
1152014990
12299a9196
1317c03aba
14d5b18b0
158d00e70
hex60523c2

101000130 has 128 divisors (see below), whose sum is σ = 315518976. Its totient is φ = 20064000.

The previous prime is 101000117. The next prime is 101000161. The reversal of 101000130 is 31000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52180 + ... + 54080.

It is an arithmetic number, because the mean of its divisors is an integer number (2464992).

Almost surely, 2101000130 is an apocalyptic number.

101000130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157759488).

101000130 is an abundant number, since it is smaller than the sum of its proper divisors (214518846).

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

101000130 is a wasteful number, since it uses less digits than its factorization.

101000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 101000130 is about 10049.8820888605. The cubic root of 101000130 is about 465.7011505860.

Adding to 101000130 its reverse (31000101), we get a palindrome (132000231).

The spelling of 101000130 in words is "one hundred one million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 23 30 33 35 42 46 55 66 69 70 77 105 110 115 138 154 161 165 210 230 231 253 322 330 345 385 462 483 506 690 759 770 805 966 1155 1265 1518 1610 1771 1901 2310 2415 2530 3542 3795 3802 4830 5313 5703 7590 8855 9505 10626 11406 13307 17710 19010 20911 26565 26614 28515 39921 41822 43723 53130 57030 62733 66535 79842 87446 104555 125466 131169 133070 146377 199605 209110 218615 262338 292754 306061 313665 399210 437230 439131 480953 612122 627330 655845 731885 878262 918183 961906 1311690 1442859 1463770 1530305 1836366 2195655 2404765 2885718 3060610 3366671 4391310 4590915 4809530 6733342 7214295 9181830 10100013 14428590 16833355 20200026 33666710 50500065 101000130