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101240172 = 223311312749
BaseRepresentation
bin1100000100011…
…00110101101100
321001111112102000
412002030311230
5201404141142
614013532300
72336345565
oct602146554
9231445360
10101240172
1152169270
1229aa4090
1317c89137
14d63516c
158d4c14c
hex608cd6c

101240172 has 96 divisors (see below), whose sum is σ = 295680000. Its totient is φ = 29678400.

The previous prime is 101240171. The next prime is 101240197. The reversal of 101240172 is 271042101.

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

It is not an unprimeable number, because it can be changed into a prime (101240171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35454 + ... + 38202.

It is an arithmetic number, because the mean of its divisors is an integer number (3080000).

Almost surely, 2101240172 is an apocalyptic number.

101240172 is a gapful number since it is divisible by the number (12) 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 101240172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840000).

101240172 is an abundant number, since it is smaller than the sum of its proper divisors (194439828).

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

101240172 is a wasteful number, since it uses less digits than its factorization.

101240172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 101240172 is about 10061.8175296514. The cubic root of 101240172 is about 466.0697949700.

Adding to 101240172 its reverse (271042101), we get a palindrome (372282273).

The spelling of 101240172 in words is "one hundred one million, two hundred forty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 2749 3069 3348 4092 5498 6138 8247 9207 10996 12276 16494 18414 24741 30239 32988 36828 49482 60478 74223 85219 90717 98964 120956 148446 170438 181434 255657 272151 296892 340876 362868 511314 544302 766971 816453 937409 1022628 1088604 1533942 1632906 1874818 2300913 2812227 3067884 3265812 3749636 4601826 5624454 8436681 9203652 11248908 16873362 25310043 33746724 50620086 101240172