Search a number
-
+
100130500 = 2253238707
BaseRepresentation
bin1011111011111…
…01111011000100
320222102011020001
411331331323010
5201113134000
613534051044
72324044441
oct575757304
9228364201
10100130500
1151580588
1229649a84
131798b022
14d4269c8
158bcd46a
hex5f7dec4

100130500 has 48 divisors (see below), whose sum is σ = 228219264. Its totient is φ = 38306400.

The previous prime is 100130489. The next prime is 100130507. The reversal of 100130500 is 5031001.

It is a super-3 number, since 3×1001305003 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100130507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7147 + ... + 15853.

It is an arithmetic number, because the mean of its divisors is an integer number (4754568).

Almost surely, 2100130500 is an apocalyptic number.

100130500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114109632).

100130500 is an abundant number, since it is smaller than the sum of its proper divisors (128088764).

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

100130500 is a wasteful number, since it uses less digits than its factorization.

100130500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8749 (or 8737 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 100130500 is about 10006.5228726066. The cubic root of 100130500 is about 464.3607047087.

Adding to 100130500 its reverse (5031001), we get a palindrome (105161501).

The spelling of 100130500 in words is "one hundred million, one hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 1150 2300 2875 5750 8707 11500 17414 34828 43535 87070 174140 200261 217675 400522 435350 801044 870700 1001305 1088375 2002610 2176750 4005220 4353500 5006525 10013050 20026100 25032625 50065250 100130500