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141234100 = 22527892267
BaseRepresentation
bin10000110101100…
…00111110110100
3100211202102202121
420122300332310
5242123442400
622003045324
73333320140
oct1032607664
9324672677
10141234100
11727a52a7
123b370844
132334cc97
1414a86220
15c5ec21a
hex86b0fb4

141234100 has 72 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 47857920.

The previous prime is 141234097. The next prime is 141234101. The reversal of 141234100 is 1432141.

141234100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141234101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61167 + ... + 63433.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2141234100 is an apocalyptic number.

141234100 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 141234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

141234100 is an abundant number, since it is smaller than the sum of its proper divisors (213118220).

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

141234100 is a wasteful number, since it uses less digits than its factorization.

141234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 141234100 is about 11884.1953871518. The cubic root of 141234100 is about 520.7706767649.

Adding to 141234100 its reverse (1432141), we get a palindrome (142666241).

The spelling of 141234100 in words is "one hundred forty-one million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 100 140 175 178 350 356 445 623 700 890 1246 1780 2225 2267 2492 3115 4450 4534 6230 8900 9068 11335 12460 15575 15869 22670 31150 31738 45340 56675 62300 63476 79345 113350 158690 201763 226700 317380 396725 403526 793450 807052 1008815 1412341 1586900 2017630 2824682 4035260 5044075 5649364 7061705 10088150 14123410 20176300 28246820 35308525 70617050 141234100