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101142500 = 2254231759
BaseRepresentation
bin1100000011101…
…00111111100100
321001022120102112
412001310333210
5201343030000
614011500152
72335461044
oct601647744
9231276375
10101142500
1152101948
1229a57658
1317c53844
14d60b724
158d2d235
hex6074fe4

101142500 has 60 divisors (see below), whose sum is σ = 230926080. Its totient is φ = 38676000.

The previous prime is 101142479. The next prime is 101142521. The reversal of 101142500 is 5241101.

It is an interprime number because it is at equal distance from previous prime (101142479) and next prime (101142521).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56621 + ... + 58379.

It is an arithmetic number, because the mean of its divisors is an integer number (3848768).

Almost surely, 2101142500 is an apocalyptic number.

101142500 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 101142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115463040).

101142500 is an abundant number, since it is smaller than the sum of its proper divisors (129783580).

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

101142500 is a wasteful number, since it uses less digits than its factorization.

101142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 101142500 is about 10056.9627621862. The cubic root of 101142500 is about 465.9198656315.

Adding to 101142500 its reverse (5241101), we get a palindrome (106383601).

The spelling of 101142500 in words is "one hundred one million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 625 1150 1250 1759 2300 2500 2875 3518 5750 7036 8795 11500 14375 17590 28750 35180 40457 43975 57500 80914 87950 161828 175900 202285 219875 404570 439750 809140 879500 1011425 1099375 2022850 2198750 4045700 4397500 5057125 10114250 20228500 25285625 50571250 101142500