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11033210196 = 2232292373977
BaseRepresentation
bin10100100011010000…
…10110110101010100
31001110220221011001200
422101220112311110
5140044000211241
65022451552500
7540261511401
oct122150266524
931426834050
1011033210196
114751a61138
12217abbb730
13106aa84858
147694772a8
1544894e4b6
hex291a16d54

11033210196 has 108 divisors (see below), whose sum is σ = 28991454492. Its totient is φ = 3537773568.

The previous prime is 11033210143. The next prime is 11033210219. The reversal of 11033210196 is 69101233011.

It can be written as a sum of positive squares in 6 ways, for example, as 1030410000 + 10002800196 = 32100^2 + 100014^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11292460 + ... + 11293436.

Almost surely, 211033210196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033210196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495727246).

11033210196 is an abundant number, since it is smaller than the sum of its proper divisors (17958244296).

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

11033210196 is a wasteful number, since it uses less digits than its factorization.

11033210196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11033210196 in words is "eleven billion, thirty-three million, two hundred ten thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 373 522 746 841 977 1044 1119 1492 1682 1954 2238 2523 2931 3357 3364 3908 4476 5046 5862 6714 7569 8793 10092 10817 11724 13428 15138 17586 21634 28333 30276 32451 35172 43268 56666 64902 84999 97353 113332 129804 169998 194706 254997 313693 339996 364421 389412 509994 627386 728842 821657 941079 1019988 1093263 1254772 1457684 1643314 1882158 2186526 2464971 2823237 3279789 3286628 3764316 4373052 4929942 5646474 6559578 7394913 9859884 10568209 11292948 13119156 14789826 21136418 29579652 31704627 42272836 63409254 95113881 126818508 190227762 306478061 380455524 612956122 919434183 1225912244 1838868366 2758302549 3677736732 5516605098 11033210196