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101343150 = 2355219439
BaseRepresentation
bin1100000101001…
…01111110101110
321001200202200000
412002211332232
5201420440100
614020045130
72340255036
oct602457656
9231622600
10101343150
1152229677
1229b337a6
1317cc3c7c
14d6608c6
158d6c900
hex60a5fae

101343150 has 144 divisors (see below), whose sum is σ = 297897600. Its totient is φ = 25544160.

The previous prime is 101343127. The next prime is 101343161. The reversal of 101343150 is 51343101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230631 + ... + 231069.

Almost surely, 2101343150 is an apocalyptic number.

101343150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101343150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

101343150 is an abundant number, since it is smaller than the sum of its proper divisors (196554450).

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

101343150 is a wasteful number, since it uses less digits than its factorization.

101343150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101343150 is about 10066.9334953599. The cubic root of 101343150 is about 466.2277647780.

Adding to 101343150 its reverse (51343101), we get a palindrome (152686251).

The spelling of 101343150 in words is "one hundred one million, three hundred forty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 81 90 95 114 135 150 162 171 190 225 243 270 285 342 405 439 450 475 486 513 570 675 810 855 878 950 1026 1215 1317 1350 1425 1539 1710 2025 2195 2430 2565 2634 2850 3078 3951 4050 4275 4390 4617 5130 6075 6585 7695 7902 8341 8550 9234 10975 11853 12150 12825 13170 15390 16682 19755 21950 23085 23706 25023 25650 32925 35559 38475 39510 41705 46170 50046 59265 65850 71118 75069 76950 83410 98775 106677 115425 118530 125115 150138 177795 197550 208525 213354 225207 230850 250230 296325 355590 375345 417050 450414 533385 592650 625575 675621 750690 888975 1066770 1126035 1251150 1351242 1777950 1876725 2026863 2252070 2666925 3378105 3753450 4053726 5333850 5630175 6756210 10134315 11260350 16890525 20268630 33781050 50671575 101343150