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141020500 = 2253893169
BaseRepresentation
bin10000110011111…
…00110101010100
3100211100120202111
420121330311110
5242100124000
621554320404
73331440325
oct1031746524
9324316674
10141020500
1172669875
123b289104
13232a69aa
1414a2c44c
15c5a8cba
hex867cd54

141020500 has 48 divisors (see below), whose sum is σ = 311547600. Its totient is φ = 55756800.

The previous prime is 141020479. The next prime is 141020501. The reversal of 141020500 is 5020141.

141020500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 44116164 + 96904336 = 6642^2 + 9844^2 .

It is a super-3 number, since 3×1410205003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141020501) 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, 42916 + ... + 46084.

It is an arithmetic number, because the mean of its divisors is an integer number (6490575).

Almost surely, 2141020500 is an apocalyptic number.

141020500 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 141020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155773800).

141020500 is an abundant number, since it is smaller than the sum of its proper divisors (170527100).

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

141020500 is a wasteful number, since it uses less digits than its factorization.

141020500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 141020500 is about 11875.2052613839. The cubic root of 141020500 is about 520.5080094601.

Adding to 141020500 its reverse (5020141), we get a palindrome (146040641).

The spelling of 141020500 in words is "one hundred forty-one million, twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 125 178 250 356 445 500 890 1780 2225 3169 4450 6338 8900 11125 12676 15845 22250 31690 44500 63380 79225 158450 282041 316900 396125 564082 792250 1128164 1410205 1584500 2820410 5640820 7051025 14102050 28204100 35255125 70510250 141020500