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101132130 = 23511437127
BaseRepresentation
bin1100000011100…
…10011101100010
321001022001012110
412001302131202
5201342212010
614011340150
72335415601
oct601623542
9231261173
10101132130
11520a5080
1229a51656
1317c4bbc8
14d607a38
158d2a120
hex6072762

101132130 has 64 divisors (see below), whose sum is σ = 270978048. Its totient is φ = 23943360.

The previous prime is 101132113. The next prime is 101132147. The reversal of 101132130 is 31231101.

It is an interprime number because it is at equal distance from previous prime (101132113) and next prime (101132147).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10627 + ... + 17753.

It is an arithmetic number, because the mean of its divisors is an integer number (4234032).

Almost surely, 2101132130 is an apocalyptic number.

101132130 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 101132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135489024).

101132130 is an abundant number, since it is smaller than the sum of its proper divisors (169845918).

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

101132130 is a wasteful number, since it uses less digits than its factorization.

101132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101132130 is about 10056.4471857610. The cubic root of 101132130 is about 465.9039417151.

Adding to 101132130 its reverse (31231101), we get a palindrome (132363231).

It can be divided in two parts, 101 and 132130, that added together give a palindrome (132231).

The spelling of 101132130 in words is "one hundred one million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 4730 7095 7127 14190 14254 21381 35635 42762 71270 78397 106905 156794 213810 235191 306461 391985 470382 612922 783970 919383 1175955 1532305 1838766 2351910 3064610 3371071 4596915 6742142 9193830 10113213 16855355 20226426 33710710 50566065 101132130