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101117070 = 23254167409
BaseRepresentation
bin1100000011011…
…10110010001110
321001021021112200
412001232302032
5201341221240
614011142330
72335323645
oct601566216
9231237480
10101117070
115209482a
1229a449a6
1317c450b2
14d60235c
158d25930
hex606ec8e

101117070 has 96 divisors (see below), whose sum is σ = 274004640. Its totient is φ = 25850880.

The previous prime is 101117063. The next prime is 101117087. The reversal of 101117070 is 70711101.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247026 + ... + 247434.

It is an arithmetic number, because the mean of its divisors is an integer number (2854215).

Almost surely, 2101117070 is an apocalyptic number.

101117070 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 101117070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137002320).

101117070 is an abundant number, since it is smaller than the sum of its proper divisors (172887570).

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

101117070 is a wasteful number, since it uses less digits than its factorization.

101117070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 18.

The square root of 101117070 is about 10055.6983844982. The cubic root of 101117070 is about 465.8808140119.

Adding to 101117070 its reverse (70711101), we get a palindrome (171828171).

It can be divided in two parts, 1011 and 17070, that added together give a palindrome (18081).

The spelling of 101117070 in words is "one hundred one million, one hundred seventeen thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 67 82 90 123 134 201 205 246 335 369 402 409 410 603 615 670 738 818 1005 1206 1227 1230 1845 2010 2045 2454 2747 3015 3681 3690 4090 5494 6030 6135 7362 8241 12270 13735 16482 16769 18405 24723 27403 27470 33538 36810 41205 49446 50307 54806 82209 82410 83845 100614 123615 137015 150921 164418 167690 246627 247230 251535 274030 301842 411045 493254 503070 754605 822090 1123523 1233135 1509210 2247046 2466270 3370569 5617615 6741138 10111707 11235230 16852845 20223414 33705690 50558535 101117070