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141212900 = 22523973557
BaseRepresentation
bin10000110101010…
…11110011100100
3100211201100200102
420122223303210
5242122303100
622002403232
73333201263
oct1032536344
9324640612
10141212900
1172790384
123b360518
132334343a
1414a7c5da
15c5e5cd5
hex86abce4

141212900 has 36 divisors (see below), whose sum is σ = 307290228. Its totient is φ = 56327040.

The previous prime is 141212873. The next prime is 141212909. The reversal of 141212900 is 9212141.

141212900 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 6 ways, for example, as 9972964 + 131239936 = 3158^2 + 11456^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (141212909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37922 + ... + 41478.

Almost surely, 2141212900 is an apocalyptic number.

141212900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141212900 is an abundant number, since it is smaller than the sum of its proper divisors (166077328).

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

141212900 is a wasteful number, since it uses less digits than its factorization.

141212900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 141212900 is about 11883.3034127721. The cubic root of 141212900 is about 520.7446186321.

The spelling of 141212900 in words is "one hundred forty-one million, two hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1588 1985 3557 3970 7114 7940 9925 14228 17785 19850 35570 39700 71140 88925 177850 355700 1412129 2824258 5648516 7060645 14121290 28242580 35303225 70606450 141212900