Search a number
-
+
1106155313200 = 245271723238557
BaseRepresentation
bin10000000110001011111…
…111101001100000110000
310220202011212101002001201
4100012023333221200300
5121110401230010300
62204054415140544
7142626363012040
oct20061377514060
93822155332051
101106155313200
113971329229a3
1215a469214754
13804050b3432
143b776b85720
151db9106766a
hex1018bfe9830

1106155313200 has 120 divisors (see below), whose sum is σ = 3215844610272. Its totient is φ = 356944220160.

The previous prime is 1106155313143. The next prime is 1106155313213. The reversal of 1106155313200 is 23135516011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11571679 + ... + 11666878.

Almost surely, 21106155313200 is an apocalyptic number.

1106155313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106155313200 is an abundant number, since it is smaller than the sum of its proper divisors (2109689297072).

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

1106155313200 is a wasteful number, since it uses less digits than its factorization.

1106155313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23238599 (or 23238588 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The spelling of 1106155313200 in words is "one trillion, one hundred six billion, one hundred fifty-five million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 136 140 170 175 200 238 272 280 340 350 400 425 476 560 595 680 700 850 952 1190 1360 1400 1700 1904 2380 2800 2975 3400 4760 5950 6800 9520 11900 23800 47600 23238557 46477114 92954228 116192785 162669899 185908456 232385570 325339798 371816912 395055469 464771140 580963925 650679596 790110938 813349495 929542280 1161927850 1301359192 1580221876 1626698990 1859084560 1975277345 2323855700 2602718384 2765388283 3160443752 3253397980 3950554690 4066747475 4647711400 5530776566 6320887504 6506795960 7901109380 8133494950 9295422800 9876386725 11061553132 13013591920 13826941415 15802218760 16266989900 19752773450 22123106264 27653882830 31604437520 32533979800 39505546900 44246212528 55307765660 65067959600 69134707075 79011093800 110615531320 138269414150 158022187600 221231062640 276538828300 553077656600 1106155313200