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101340180 = 22335672801
BaseRepresentation
bin1100000101001…
…01010000010100
321001200121121000
412002211100110
5201420341210
614020023300
72340243264
oct602452024
9231617530
10101340180
1152227417
1229b31b30
1317cc2806
14d65d7a4
158d6bac0
hex60a5414

101340180 has 96 divisors (see below), whose sum is σ = 320100480. Its totient is φ = 26611200.

The previous prime is 101340157. The next prime is 101340191. The reversal of 101340180 is 81043101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34780 + ... + 37580.

It is an arithmetic number, because the mean of its divisors is an integer number (3334380).

Almost surely, 2101340180 is an apocalyptic number.

101340180 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 101340180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160050240).

101340180 is an abundant number, since it is smaller than the sum of its proper divisors (218760300).

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

101340180 is a wasteful number, since it uses less digits than its factorization.

101340180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101340180 is about 10066.7859816329. The cubic root of 101340180 is about 466.2232102522.

Adding to 101340180 its reverse (81043101), we get a palindrome (182383281).

The spelling of 101340180 in words is "one hundred one million, three hundred forty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 2801 3015 3618 4020 5602 6030 7236 8403 9045 11204 12060 14005 16806 18090 25209 28010 33612 36180 42015 50418 56020 75627 84030 100836 126045 151254 168060 187667 252090 302508 375334 378135 504180 563001 750668 756270 938335 1126002 1512540 1689003 1876670 2252004 2815005 3378006 3753340 5067009 5630010 6756012 8445015 10134018 11260020 16890030 20268036 25335045 33780060 50670090 101340180