Search a number
-
+
2101089150 = 2325229233691
BaseRepresentation
bin111110100111100…
…0001001101111110
312102102120101110200
41331033001031332
513300334323100
6544253344330
7103031651226
oct17517011576
95372511420
102101089150
11989012416
124a77980a6
132763ac824
1415d091086
15c46cee00
hex7d3c137e

2101089150 has 144 divisors (see below), whose sum is σ = 5873128560. Its totient is φ = 537868800.

The previous prime is 2101089149. The next prime is 2101089187. The reversal of 2101089150 is 519801012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3040305 + ... + 3040995.

It is an arithmetic number, because the mean of its divisors is an integer number (40785615).

Almost surely, 22101089150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101089150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936564280).

2101089150 is an abundant number, since it is smaller than the sum of its proper divisors (3772039410).

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

2101089150 is a wasteful number, since it uses less digits than its factorization.

2101089150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 2101089150 is about 45837.6390098792. The cubic root of 2101089150 is about 1280.8005144704.

The spelling of 2101089150 in words is "two billion, one hundred one million, eighty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 233 261 290 435 450 466 522 691 699 725 870 1165 1305 1382 1398 1450 2073 2097 2175 2330 2610 3455 3495 4146 4194 4350 5825 6219 6525 6757 6910 6990 10365 10485 11650 12438 13050 13514 17275 17475 20039 20271 20730 20970 31095 33785 34550 34950 40078 40542 51825 52425 60117 60813 62190 67570 100195 101355 103650 104850 120234 121626 155475 161003 168925 180351 200390 202710 300585 304065 310950 322006 337850 360702 483009 500975 506775 601170 608130 805015 901755 966018 1001950 1013550 1449027 1502925 1520325 1610030 1803510 2415045 2898054 3005850 3040650 4025075 4508775 4669087 4830090 7245135 8050150 9017550 9338174 12075225 14007261 14490270 23345435 24150450 28014522 36225675 42021783 46690870 70036305 72451350 84043566 116727175 140072610 210108915 233454350 350181525 420217830 700363050 1050544575 2101089150