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101530500 = 22353113599
BaseRepresentation
bin1100000110100…
…11101110000100
321002001021122220
412003103232010
5201442434000
614024052340
72341665201
oct603235604
9232037586
10101530500
1152347405
122a0040b0
131805b326
14d6acca8
158da81a0
hex60d3b84

101530500 has 96 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 26790400.

The previous prime is 101530493. The next prime is 101530501. The reversal of 101530500 is 5035101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101530500.

It is not an unprimeable number, because it can be changed into a prime (101530501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169201 + ... + 169799.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2101530500 is an apocalyptic number.

101530500 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 101530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

101530500 is an abundant number, since it is smaller than the sum of its proper divisors (197240700).

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

101530500 is a wasteful number, since it uses less digits than its factorization.

101530500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 101530500 is about 10076.2344156932. The cubic root of 101530500 is about 466.5148882828.

Adding to 101530500 its reverse (5035101), we get a palindrome (106565601).

The spelling of 101530500 in words is "one hundred one million, five hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 125 150 226 250 300 339 375 452 500 565 599 678 750 1130 1198 1356 1500 1695 1797 2260 2396 2825 2995 3390 3594 5650 5990 6780 7188 8475 8985 11300 11980 14125 14975 16950 17970 28250 29950 33900 35940 42375 44925 56500 59900 67687 74875 84750 89850 135374 149750 169500 179700 203061 224625 270748 299500 338435 406122 449250 676870 812244 898500 1015305 1353740 1692175 2030610 3384350 4061220 5076525 6768700 8460875 10153050 16921750 20306100 25382625 33843500 50765250 101530500