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141213000 = 23353103457
BaseRepresentation
bin10000110101010…
…11110101001000
3100211201100211010
420122223311020
5242122304000
622002403520
73333201465
oct1032536510
9324640733
10141213000
1172790465
123b3605a0
13233434b6
1414a7c66c
15c5e5d50
hex86abd48

141213000 has 128 divisors (see below), whose sum is σ = 445835520. Its totient is φ = 37209600.

The previous prime is 141212983. The next prime is 141213001. The reversal of 141213000 is 312141.

It is a happy number.

It is a super-2 number, since 2×1412130002 = 39882222738000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (141213001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 308772 + ... + 309228.

It is an arithmetic number, because the mean of its divisors is an integer number (3483090).

Almost surely, 2141213000 is an apocalyptic number.

141213000 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 141213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222917760).

141213000 is an abundant number, since it is smaller than the sum of its proper divisors (304622520).

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

141213000 is a wasteful number, since it uses less digits than its factorization.

141213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 141213000 is about 11883.3076203555. The cubic root of 141213000 is about 520.7447415540.

Adding to 141213000 its reverse (312141), we get a palindrome (141525141).

The spelling of 141213000 in words is "one hundred forty-one million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 103 120 125 150 200 206 250 300 309 375 412 457 500 515 600 618 750 824 914 1000 1030 1236 1371 1500 1545 1828 2060 2285 2472 2575 2742 3000 3090 3656 4120 4570 5150 5484 6180 6855 7725 9140 10300 10968 11425 12360 12875 13710 15450 18280 20600 22850 25750 27420 30900 34275 38625 45700 47071 51500 54840 57125 61800 68550 77250 91400 94142 103000 114250 137100 141213 154500 171375 188284 228500 235355 274200 282426 309000 342750 376568 457000 470710 564852 685500 706065 941420 1129704 1176775 1371000 1412130 1882840 2353550 2824260 3530325 4707100 5648520 5883875 7060650 9414200 11767750 14121300 17651625 23535500 28242600 35303250 47071000 70606500 141213000