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141152100 = 223522631789
BaseRepresentation
bin10000110100111…
…00111101100100
3100211121021021120
420122130331210
5242113331400
622001213540
73332526105
oct1032347544
9324537246
10141152100
1172749731
123b3312b0
132332186b
1414a643ac
15c5d2ca0
hex869cf64

141152100 has 72 divisors (see below), whose sum is σ = 410182080. Its totient is φ = 37476480.

The previous prime is 141152051. The next prime is 141152111. The reversal of 141152100 is 1251141.

It is a happy number.

141152100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 141152100.

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, 78006 + ... + 79794.

Almost surely, 2141152100 is an apocalyptic number.

141152100 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 141152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205091040).

141152100 is an abundant number, since it is smaller than the sum of its proper divisors (269029980).

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

141152100 is a wasteful number, since it uses less digits than its factorization.

141152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 141152100 is about 11880.7449261399. The cubic root of 141152100 is about 520.6698714056.

The spelling of 141152100 in words is "one hundred forty-one million, one hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 263 300 526 789 1052 1315 1578 1789 2630 3156 3578 3945 5260 5367 6575 7156 7890 8945 10734 13150 15780 17890 19725 21468 26300 26835 35780 39450 44725 53670 78900 89450 107340 134175 178900 268350 470507 536700 941014 1411521 1882028 2352535 2823042 4705070 5646084 7057605 9410140 11762675 14115210 23525350 28230420 35288025 47050700 70576050 141152100