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141206100 = 223527193539
BaseRepresentation
bin10000110101010…
…10001001010100
3100211201000100120
420122222021110
5242122043400
622002311540
73333142410
oct1032521124
9324630316
10141206100
1172786262
123b3585b0
1323340309
1414a79d40
15c5e3ca0
hex86aa254

141206100 has 144 divisors (see below), whose sum is σ = 491635200. Its totient is φ = 30568320.

The previous prime is 141206089. The next prime is 141206111. The reversal of 141206100 is 1602141.

It is an interprime number because it is at equal distance from previous prime (141206089) and next prime (141206111).

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 141206100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38131 + ... + 41669.

Almost surely, 2141206100 is an apocalyptic number.

141206100 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 141206100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245817600).

141206100 is an abundant number, since it is smaller than the sum of its proper divisors (350429100).

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

141206100 is a wasteful number, since it uses less digits than its factorization.

141206100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 141206100 is about 11883.0172936001. The cubic root of 141206100 is about 520.7362598107.

Adding to 141206100 its reverse (1602141), we get a palindrome (142808241).

The spelling of 141206100 in words is "one hundred forty-one million, two hundred six thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3539 3990 5700 6650 7078 7980 9975 10617 13300 14156 17695 19950 21234 24773 35390 39900 42468 49546 53085 67241 70780 74319 88475 99092 106170 123865 134482 148638 176950 201723 212340 247730 265425 268964 297276 336205 353900 371595 403446 470687 495460 530850 619325 672410 743190 806892 941374 1008615 1061700 1238650 1344820 1412061 1486380 1681025 1857975 1882748 2017230 2353435 2477300 2824122 3362050 3715950 4034460 4706870 5043075 5648244 6724100 7060305 7431900 9413740 10086150 11767175 14120610 20172300 23534350 28241220 35301525 47068700 70603050 141206100