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141501100 = 225213891223
BaseRepresentation
bin10000110111100…
…10001010101100
3100212021000000111
420123302022230
5242211013400
622012505404
73335511436
oct1033621254
9325230014
10141501100
1172967964
123b47b264
1323414680
1414b15656
15c6513ba
hex86f22ac

141501100 has 72 divisors (see below), whose sum is σ = 334666080. Its totient is φ = 51617280.

The previous prime is 141501097. The next prime is 141501137. The reversal of 141501100 is 1105141.

It is a super-2 number, since 2×1415011002 = 40045122602420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115089 + ... + 116311.

It is an arithmetic number, because the mean of its divisors is an integer number (4648140).

Almost surely, 2141501100 is an apocalyptic number.

141501100 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 141501100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333040).

141501100 is an abundant number, since it is smaller than the sum of its proper divisors (193164980).

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

141501100 is a wasteful number, since it uses less digits than its factorization.

141501100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 141501100 is about 11895.4234897291. The cubic root of 141501100 is about 521.0986387363.

Adding to 141501100 its reverse (1105141), we get a palindrome (142606241).

The spelling of 141501100 in words is "one hundred forty-one million, five hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 89 100 130 178 260 325 356 445 650 890 1157 1223 1300 1780 2225 2314 2446 4450 4628 4892 5785 6115 8900 11570 12230 15899 23140 24460 28925 30575 31798 57850 61150 63596 79495 108847 115700 122300 158990 217694 317980 397475 435388 544235 794950 1088470 1415011 1589900 2176940 2721175 2830022 5442350 5660044 7075055 10884700 14150110 28300220 35375275 70750550 141501100