Search a number
-
+
21201033132 = 223217297915121
BaseRepresentation
bin10011101111101011…
…100001011110101100
32000201112111001222100
4103233223201132230
5321404431030012
613423431415100
71350244544136
oct235753413654
960645431870
1021201033132
118a9a480a94
124138224490
131ccb471426
141051a04056
1584140c8dc
hex4efae17ac

21201033132 has 144 divisors (see below), whose sum is σ = 59447606400. Its totient is φ = 6340239360.

The previous prime is 21201033109. The next prime is 21201033187. The reversal of 21201033132 is 23133010212.

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

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, 1394532 + ... + 1409652.

It is an arithmetic number, because the mean of its divisors is an integer number (412830600).

Almost surely, 221201033132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29723803200).

21201033132 is an abundant number, since it is smaller than the sum of its proper divisors (38246573268).

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

21201033132 is a wasteful number, since it uses less digits than its factorization.

21201033132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21201033132 its reverse (23133010212), we get a palindrome (44334043344).

The spelling of 21201033132 in words is "twenty-one billion, two hundred one million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 79 87 102 116 153 158 174 204 237 261 306 316 348 474 493 522 612 711 948 986 1044 1343 1422 1479 1972 2291 2686 2844 2958 4029 4437 4582 5372 5916 6873 8058 8874 9164 12087 13746 15121 16116 17748 20619 24174 27492 30242 38947 41238 45363 48348 60484 77894 82476 90726 116841 136089 155788 181452 233682 257057 272178 350523 438509 467364 514114 544356 701046 771171 877018 1028228 1194559 1315527 1402092 1542342 1754036 2313513 2389118 2631054 3084684 3583677 3946581 4627026 4778236 5262108 7167354 7454653 7893162 9254052 10751031 14334708 14909306 15786324 20307503 21502062 22363959 29818612 34642211 40615006 43004124 44727918 60922509 67091877 69284422 81230012 89455836 103926633 121845018 134183754 138568844 182767527 207853266 243690036 268367508 311779899 365535054 415706532 588917587 623559798 731070108 1177835174 1247119596 1766752761 2355670348 3533505522 5300258283 7067011044 10600516566 21201033132