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101030130 = 23258912613
BaseRepresentation
bin1100000010110…
…01100011110010
321001002212021200
412001121203302
5201330431010
614005232030
72334512325
oct601314362
9231085250
10101030130
1152035483
1229a02616
1317c14656
14d5bc7bc
158d09cc0
hex60598f2

101030130 has 48 divisors (see below), whose sum is σ = 265650840. Its totient is φ = 26636544.

The previous prime is 101030117. The next prime is 101030131. The reversal of 101030130 is 31030101.

It can be written as a sum of positive squares in 4 ways, for example, as 62204769 + 38825361 = 7887^2 + 6231^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101030131) 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, 1704 + ... + 14316.

Almost surely, 2101030130 is an apocalyptic number.

101030130 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 101030130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132825420).

101030130 is an abundant number, since it is smaller than the sum of its proper divisors (164620710).

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

101030130 is a wasteful number, since it uses less digits than its factorization.

101030130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12715 (or 12712 counting only the distinct ones).

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

The square root of 101030130 is about 10051.3745328686. The cubic root of 101030130 is about 465.7472549870.

Adding to 101030130 its reverse (31030101), we get a palindrome (132060231).

It can be divided in two parts, 1010301 and 30, that added together give a triangular number (1010331 = T1421).

The spelling of 101030130 in words is "one hundred one million, thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 12613 25226 37839 63065 75678 113517 126130 189195 227034 378390 567585 1122557 1135170 2245114 3367671 5612785 6735342 10103013 11225570 16838355 20206026 33676710 50515065 101030130