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1122203103012 = 22321710140944389
BaseRepresentation
bin10000010101001000100…
…001000110111100100100
310222021121021010021011100
4100111020201012330210
5121341232443244022
62215311043040100
7144035144663205
oct20251041067444
93867537107140
101122203103012
113a2a18439a02
121615a7670030
1381a91a2ca54
143c45a1d75ac
151e2ced4d1ac
hex10548846f24

1122203103012 has 144 divisors (see below), whose sum is σ = 3040766492400. Its totient is φ = 347717836800.

The previous prime is 1122203102959. The next prime is 1122203103013. The reversal of 1122203103012 is 2103013022211.

1122203103012 is a `hidden beast` number, since 11 + 22 + 20 + 310 + 301 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 791007456996 + 331195646016 = 889386^2 + 575496^2 .

It is a super-2 number, since 2×11222031030122 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1122203103013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25258914 + ... + 25303302.

It is an arithmetic number, because the mean of its divisors is an integer number (21116433975).

Almost surely, 21122203103012 is an apocalyptic number.

1122203103012 is a gapful number since it is divisible by the number (12) 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 1122203103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520383246200).

1122203103012 is an abundant number, since it is smaller than the sum of its proper divisors (1918563389388).

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

1122203103012 is a wasteful number, since it uses less digits than its factorization.

1122203103012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44926 (or 44921 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1122203103012 its reverse (2103013022211), we get a palindrome (3225216125223).

The spelling of 1122203103012 in words is "one trillion, one hundred twenty-two billion, two hundred three million, one hundred three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 303 306 404 409 606 612 818 909 1212 1227 1636 1717 1818 2454 3434 3636 3681 4908 5151 6868 6953 7362 10302 13906 14724 15453 20604 20859 27812 30906 41309 41718 44389 61812 62577 82618 83436 88778 123927 125154 133167 165236 177556 247854 250308 266334 371781 399501 495708 532668 702253 743562 754613 799002 1404506 1487124 1509226 1598004 2106759 2263839 2809012 3018452 4213518 4483289 4527678 6320277 6791517 8427036 8966578 9055356 12640554 13449867 13583034 17933156 18155101 25281108 26899734 27166068 36310202 40349601 53799468 54465303 72620404 76215913 80699202 108930606 152431826 161398404 163395909 217861212 228647739 304863652 308636717 326791818 457295478 617273434 653583636 685943217 914590956 925910151 1234546868 1371886434 1833665201 1851820302 2743772868 2777730453 3667330402 3703640604 5500995603 5555460906 7334660804 11001991206 11110921812 16502986809 22003982412 31172308417 33005973618 62344616834 66011947236 93516925251 124689233668 187033850502 280550775753 374067701004 561101551506 1122203103012