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11331221330232 = 23322940911326529
BaseRepresentation
bin1010010011100100000101…
…1011000001100100111000
31111010020212022000121112200
42210321001123001210320
52441122320130031412
640033254034110200
72246440141062246
oct244710133014470
944106768017480
1011331221330232
1136795a9044771
12133009711b360
136426b6669c5b
142b2611005796
15149b3ece29dc
hexa4e416c1938

11331221330232 has 96 divisors (see below), whose sum is σ = 31754740446000. Its totient is φ = 3645935677440.

The previous prime is 11331221330137. The next prime is 11331221330267. The reversal of 11331221330232 is 23203312213311.

11331221330232 is a `hidden beast` number, since 1 + 1 + 3 + 312 + 2 + 13 + 302 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11331221330196 and 11331221330205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7878744 + ... + 9205272.

Almost surely, 211331221330232 is an apocalyptic number.

11331221330232 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 11331221330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877370223000).

11331221330232 is an abundant number, since it is smaller than the sum of its proper divisors (20423519115768).

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

11331221330232 is a wasteful number, since it uses less digits than its factorization.

11331221330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330661 (or 1330654 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11331221330232 its reverse (23203312213311), we get a palindrome (34534533543543).

The spelling of 11331221330232 in words is "eleven trillion, three hundred thirty-one billion, two hundred twenty-one million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 4091 8182 12273 16364 24546 32728 36819 49092 73638 98184 118639 147276 237278 294552 355917 474556 711834 949112 1067751 1326529 1423668 2135502 2653058 2847336 3979587 4271004 5306116 7959174 8542008 10612232 11938761 15918348 23877522 31836696 38469341 47755044 76938682 95510088 115408023 153877364 230816046 307754728 346224069 461632092 692448138 923264184 1384896276 2769792552 5426830139 10853660278 16280490417 21707320556 32560980834 43414641112 48841471251 65121961668 97682942502 130243923336 157378074031 195365885004 314756148062 390731770008 472134222093 629512296124 944268444186 1259024592248 1416402666279 1888536888372 2832805332558 3777073776744 5665610665116 11331221330232