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141343100 = 225217294761
BaseRepresentation
bin10000110110010…
…11100101111100
3100211221222021122
420123023211330
5242140434400
622005250112
73334253003
oct1033134574
9324858248
10141343100
117286a188
123b403938
132338a792
1414ab3c3a
15c61e685
hex86cb97c

141343100 has 144 divisors (see below), whose sum is σ = 348727680. Its totient is φ = 49459200.

The previous prime is 141343099. The next prime is 141343141. The reversal of 141343100 is 1343141.

It is a super-2 number, since 2×1413431002 = 39955743835220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2317070 + ... + 2317130.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2141343100 is an apocalyptic number.

141343100 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 141343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

141343100 is an abundant number, since it is smaller than the sum of its proper divisors (207384580).

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

141343100 is a wasteful number, since it uses less digits than its factorization.

141343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 141343100 is about 11888.7804252581. The cubic root of 141343100 is about 520.9046137465.

Adding to 141343100 its reverse (1343141), we get a palindrome (142686241).

The spelling of 141343100 in words is "one hundred forty-one million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 47 50 58 61 68 85 94 100 116 122 145 170 188 235 244 290 305 340 425 470 493 580 610 725 799 850 940 986 1037 1175 1220 1363 1450 1525 1598 1700 1769 1972 2074 2350 2465 2726 2867 2900 3050 3196 3538 3995 4148 4700 4930 5185 5452 5734 6100 6815 7076 7990 8845 9860 10370 11468 12325 13630 14335 15980 17690 19975 20740 23171 24650 25925 27260 28670 30073 34075 35380 39950 44225 46342 48739 49300 51850 57340 60146 68150 71675 79900 83143 88450 92684 97478 103700 115855 120292 136300 143350 150365 166286 176900 194956 231710 243695 286700 300730 332572 415715 463420 487390 579275 601460 751825 831430 974780 1158550 1218475 1413431 1503650 1662860 2078575 2317100 2436950 2826862 3007300 4157150 4873900 5653724 7067155 8314300 14134310 28268620 35335775 70671550 141343100