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11331203311032 = 23311374792421781
BaseRepresentation
bin1010010011100100000001…
…0110010010010110111000
31111010020211001010010211220
42210321000112102112320
52441122301021423112
640033252151552040
72246436531653163
oct244710026222670
944106731103756
1011331203311032
113679599957670
12133009108b620
136426b29cb2c7
142b260c874ada
15149b3d43398c
hexa4e405925b8

11331203311032 has 128 divisors (see below), whose sum is σ = 31804778649600. Its totient is φ = 3333919219200.

The previous prime is 11331203310991. The next prime is 11331203311037. The reversal of 11331203311032 is 23011330213311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11331203310993 and 11331203311011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331203311037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3467982 + ... + 5889762.

It is an arithmetic number, because the mean of its divisors is an integer number (248474833200).

Almost surely, 211331203311032 is an apocalyptic number.

11331203311032 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 11331203311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15902389324800).

11331203311032 is an abundant number, since it is smaller than the sum of its proper divisors (20473575338568).

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

11331203311032 is a wasteful number, since it uses less digits than its factorization.

11331203311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422317 (or 2422313 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11331203311032 its reverse (23011330213311), we get a palindrome (34342533524343).

The spelling of 11331203311032 in words is "eleven trillion, three hundred thirty-one billion, two hundred three million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 479 814 888 958 1221 1437 1628 1916 2442 2874 3256 3832 4884 5269 5748 9768 10538 11496 15807 17723 21076 31614 35446 42152 53169 63228 70892 106338 126456 141784 194953 212676 389906 425352 584859 779812 1169718 1559624 2339436 2421781 4678872 4843562 7265343 9687124 14530686 19374248 26639591 29061372 53279182 58122744 79918773 89605897 106558364 159837546 179211794 213116728 268817691 319675092 358423588 537635382 639350184 716847176 985664867 1075270764 1160033099 1971329734 2150541528 2320066198 2956994601 3480099297 3942659468 4640132396 5913989202 6960198594 7885318936 9280264792 11827978404 12760364089 13920397188 23655956808 25520728178 27840794376 38281092267 42921224663 51041456356 76562184534 85842449326 102082912712 128763673989 153124369068 171684898652 257527347978 306248738136 343369797304 472133471293 515054695956 944266942586 1030109391912 1416400413879 1888533885172 2832800827758 3777067770344 5665601655516 11331203311032