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11302232232 = 23319371813701
BaseRepresentation
bin10101000011010101…
…00110000010101000
31002011200010212220210
422201222212002220
5141121332412412
65105302021120
7550036250244
oct124152460250
932150125823
1011302232232
11487a8a73a5
1222351177a0
1310b17274a5
147930a5424
1546238e83c
hex2a1aa60a8

11302232232 has 128 divisors (see below), whose sum is σ = 30723638400. Its totient is φ = 3452544000.

The previous prime is 11302232231. The next prime is 11302232243. The reversal of 11302232232 is 23223220311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11302232199 and 11302232208.

It is not an unprimeable number, because it can be changed into a prime (11302232231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3051982 + ... + 3055682.

It is an arithmetic number, because the mean of its divisors is an integer number (240028425).

Almost surely, 211302232232 is an apocalyptic number.

11302232232 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 11302232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361819200).

11302232232 is an abundant number, since it is smaller than the sum of its proper divisors (19421406168).

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

11302232232 is a wasteful number, since it uses less digits than its factorization.

11302232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 11302232232 its reverse (23223220311), we get a palindrome (34525452543).

The spelling of 11302232232 in words is "eleven billion, three hundred two million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 181 222 228 296 362 444 456 543 703 724 888 1086 1406 1448 2109 2172 2812 3439 3701 4218 4344 5624 6697 6878 7402 8436 10317 11103 13394 13756 14804 16872 20091 20634 22206 26788 27512 29608 40182 41268 44412 53576 70319 80364 82536 88824 127243 136937 140638 160728 210957 254486 273874 281276 381729 410811 421914 508972 547748 562552 669881 763458 821622 843828 1017944 1095496 1339762 1526916 1643244 1687656 2009643 2601803 2679524 3053832 3286488 4019286 5203606 5359048 7805409 8038572 10407212 12727739 15610818 16077144 20814424 24785597 25455478 31221636 38183217 49571194 50910956 62443272 74356791 76366434 99142388 101821912 148713582 152732868 198284776 297427164 305465736 470926343 594854328 941852686 1412779029 1883705372 2825558058 3767410744 5651116116 11302232232