Search a number
-
+
100215045 = 3257247967
BaseRepresentation
bin1011111100100…
…10100100000101
320222120110012100
411332102210011
5201123340140
613535542313
72324546100
oct576224405
9228513170
10100215045
1151629057
122968a999
13179ba658
14d449737
158be8530
hex5f92905

100215045 has 72 divisors (see below), whose sum is σ = 206578944. Its totient is φ = 44791488.

The previous prime is 100215019. The next prime is 100215047. The reversal of 100215045 is 540512001.

It is not a de Polignac number, because 100215045 - 29 = 100214533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100215047) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 103152 + ... + 104118.

It is an arithmetic number, because the mean of its divisors is an integer number (2869152).

Almost surely, 2100215045 is an apocalyptic number.

100215045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100215045 is an abundant number, since it is smaller than the sum of its proper divisors (106363899).

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

100215045 is a wasteful number, since it uses less digits than its factorization.

100215045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100215045 is about 10010.7464756630. The cubic root of 100215045 is about 464.4913619724.

Adding to 100215045 its reverse (540512001), we get a palindrome (640727046).

The spelling of 100215045 in words is "one hundred million, two hundred fifteen thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 49 63 105 141 147 235 245 315 329 423 441 705 735 967 987 1645 2115 2205 2303 2901 2961 4835 4935 6769 6909 8703 11515 14505 14805 20307 20727 33845 34545 43515 45449 47383 60921 101535 103635 136347 142149 227245 236915 304605 318143 409041 426447 681735 710745 954429 1590715 2045205 2132235 2227001 2863287 4772145 6681003 11135005 14316435 20043009 33405015 100215045