Search a number
-
+
10322401230 = 2325296759029
BaseRepresentation
bin10011001110100001…
…10101011111001110
3222122101102022110200
421213100311133032
5132120013314410
64424140514330
7513540651141
oct114720653716
928571368420
1010322401230
1144177a9909
122000b4b9a6
13c8672c62b
146dccc8058
154063443c0
hex2674357ce

10322401230 has 96 divisors (see below), whose sum is σ = 28178560800. Its totient is φ = 2618009856.

The previous prime is 10322401213. The next prime is 10322401231. The reversal of 10322401230 is 3210422301.

10322401230 is a `hidden beast` number, since 1 + 0 + 32 + 2 + 401 + 230 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322401231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145356 + ... + 204384.

It is an arithmetic number, because the mean of its divisors is an integer number (293526675).

Almost surely, 210322401230 is an apocalyptic number.

10322401230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10322401230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14089280400).

10322401230 is an abundant number, since it is smaller than the sum of its proper divisors (17856159570).

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

10322401230 is a wasteful number, since it uses less digits than its factorization.

10322401230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59138 (or 59135 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10322401230 its reverse (3210422301), we get a palindrome (13532823531).

The spelling of 10322401230 in words is "ten billion, three hundred twenty-two million, four hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 67 87 90 134 145 174 201 261 290 335 402 435 522 603 670 870 1005 1206 1305 1943 2010 2610 3015 3886 5829 6030 9715 11658 17487 19430 29145 34974 58290 59029 87435 118058 174870 177087 295145 354174 531261 590290 885435 1062522 1711841 1770870 2656305 3423682 3954943 5135523 5312610 7909886 8559205 10271046 11864829 15406569 17118410 19774715 23729658 25677615 30813138 35594487 39549430 51355230 59324145 71188974 77032845 114693347 118648290 154065690 177972435 229386694 344080041 355944870 573466735 688160082 1032240123 1146933470 1720400205 2064480246 3440800410 5161200615 10322401230