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1102003122132 = 22321121122957593
BaseRepresentation
bin10000000010010100100…
…000010010111111010100
310220100110111021220201100
4100002110200102333110
5121023400244402012
62202130411230100
7142421443661523
oct20022440227724
93810414256640
101102003122132
113953a2040330
121596aa748330
137cbc2aa6743
143b4a15364ba
151d9eb77d8dc
hex10094812fd4

1102003122132 has 144 divisors (see below), whose sum is σ = 3066645516480. Its totient is φ = 330900595200.

The previous prime is 1102003122127. The next prime is 1102003122151. The reversal of 1102003122132 is 2312213002011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19105528 + ... + 19163120.

It is an arithmetic number, because the mean of its divisors is an integer number (21296149420).

Almost surely, 21102003122132 is an apocalyptic number.

1102003122132 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 1102003122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533322758240).

1102003122132 is an abundant number, since it is smaller than the sum of its proper divisors (1964642394348).

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

1102003122132 is a wasteful number, since it uses less digits than its factorization.

1102003122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58054 (or 58049 counting only the distinct ones).

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

Adding to 1102003122132 its reverse (2312213002011), we get a palindrome (3414216124143).

The spelling of 1102003122132 in words is "one trillion, one hundred two billion, three million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 211 229 396 422 458 633 687 844 916 1266 1374 1899 2061 2321 2519 2532 2748 3798 4122 4642 5038 6963 7557 7596 8244 9284 10076 13926 15114 20889 22671 27852 30228 41778 45342 48319 57593 83556 90684 96638 115186 144957 172779 193276 230372 289914 345558 434871 518337 531509 579828 633523 691116 869742 1036674 1063018 1267046 1594527 1739484 1900569 2073348 2126036 2534092 3189054 3801138 4783581 5701707 6378108 7602276 9567162 11403414 12152123 13188797 19134324 22806828 24304246 26377594 36456369 39566391 48608492 52755188 72912738 79132782 109369107 118699173 133673353 145076767 145825476 158265564 218738214 237398346 267346706 290153534 401020059 435230301 437476428 474796692 534693412 580307068 802040118 870460602 1203060177 1305690903 1604080236 1740921204 2406120354 2611381806 2782836167 4812240708 5222763612 5565672334 8348508501 11131344668 16697017002 25045525503 30611197837 33394034004 50091051006 61222395674 91833593511 100182102012 122444791348 183667187022 275500780533 367334374044 551001561066 1102003122132