Search a number
-
+
141318100 = 225271118353
BaseRepresentation
bin10000110110001…
…01011111010100
3100211220200222201
420123011133110
5242134134400
622004534244
73334120060
oct1033053724
9324820881
10141318100
1172852420
123b3b1384
132337c2a1
1414aa8aa0
15c61706a
hex86c57d4

141318100 has 72 divisors (see below), whose sum is σ = 382350528. Its totient is φ = 44044800.

The previous prime is 141318091. The next prime is 141318113. The reversal of 141318100 is 1813141.

141318100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1413181002 = 39941610775220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1477 + ... + 16876.

It is an arithmetic number, because the mean of its divisors is an integer number (5310424).

Almost surely, 2141318100 is an apocalyptic number.

141318100 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 141318100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191175264).

141318100 is an abundant number, since it is smaller than the sum of its proper divisors (241032428).

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

141318100 is a wasteful number, since it uses less digits than its factorization.

141318100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18385 (or 18378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 141318100 is about 11887.7289673007. The cubic root of 141318100 is about 520.8739003424.

The spelling of 141318100 in words is "one hundred forty-one million, three hundred eighteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 18353 36706 73412 91765 128471 183530 201883 256942 367060 403766 458825 513884 642355 807532 917650 1009415 1284710 1413181 1835300 2018830 2569420 2826362 3211775 4037660 5047075 5652724 6423550 7065905 10094150 12847100 14131810 20188300 28263620 35329525 70659050 141318100