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13022132033232 = 2433717681243553
BaseRepresentation
bin1011110101111111001110…
…0011011101011011010000
31201002220101202211022022000
42331133303203131123100
53201323311300030412
643410141310514000
72512550366646540
oct275376343353320
951086352738260
1013022132033232
114170723056953
121563939805900
13735c9bc8847a
143303bb535320
15178b076964dc
hexbd7f38dd6d0

13022132033232 has 160 divisors (see below), whose sum is σ = 42720696533760. Its totient is φ = 3720383447040.

The previous prime is 13022132033221. The next prime is 13022132033233. The reversal of 13022132033232 is 23233023122031.

13022132033232 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 1 + 320 + 332 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13022132033196 and 13022132033205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022132033233) 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, 53345568 + ... + 53589120.

It is an arithmetic number, because the mean of its divisors is an integer number (267004353336).

Almost surely, 213022132033232 is an apocalyptic number.

13022132033232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13022132033232 is an abundant number, since it is smaller than the sum of its proper divisors (29698564500528).

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

13022132033232 is a wasteful number, since it uses less digits than its factorization.

13022132033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261258 (or 261246 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13022132033232 its reverse (23233023122031), we get a palindrome (36255155155263).

The spelling of 13022132033232 in words is "thirteen trillion, twenty-two billion, one hundred thirty-two million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 17681 35362 53043 70724 106086 123767 141448 159129 212172 243553 247534 282896 318258 371301 424344 477387 487106 495068 636516 730659 742602 848688 954774 974212 990136 1113903 1273032 1461318 1485204 1704871 1909548 1948424 1980272 2191977 2227806 2546064 2922636 2970408 3341709 3409742 3819096 3896848 4383954 4455612 5114613 5845272 5940816 6575931 6683418 6819484 7638192 8767908 8911224 10229226 11690544 13151862 13366836 13638968 15343839 17535816 17822448 20458452 26303724 26733672 27277936 30687678 35071632 40916904 46031517 52607448 53467344 61375356 81833808 92063034 105214896 122750712 184126068 245501424 368252136 736504272 4306260593 8612521186 12918781779 17225042372 25837563558 30143824151 34450084744 38756345337 51675127116 60287648302 68900169488 77512690674 90431472453 103350254232 116269036011 120575296604 155025381348 180862944906 206700508464 232538072022 241150593208 271294417359 310050762696 361725889812 465076144044 482301186416 542588834718 620101525392 723451779624 813883252077 930152288088 1085177669436 1446903559248 1627766504154 1860304576176 2170355338872 3255533008308 4340710677744 6511066016616 13022132033232