Search a number
-
+
10213200232 = 23233161149197
BaseRepresentation
bin10011000001100000…
…10001000101101000
3222100202221022212021
421200300101011220
5131404034401412
64405240154224
7511043524654
oct114060210550
928322838767
1010213200232
1143710a3554
121b90468974
13c69c16b61
146cc5bda64
153eb973607
hex260c11168

10213200232 has 128 divisors (see below), whose sum is σ = 21212928000. Its totient is φ = 4594867200.

The previous prime is 10213200229. The next prime is 10213200247. The reversal of 10213200232 is 23200231201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51843558 + ... + 51843754.

It is an arithmetic number, because the mean of its divisors is an integer number (165726000).

Almost surely, 210213200232 is an apocalyptic number.

It is an amenable number.

10213200232 is an abundant number, since it is smaller than the sum of its proper divisors (10999727768).

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

10213200232 is a wasteful number, since it uses less digits than its factorization.

10213200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10213200232 its reverse (23200231201), we get a palindrome (33413431433).

The spelling of 10213200232 in words is "ten billion, two hundred thirteen million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 23 31 46 61 62 92 122 124 149 184 197 244 248 298 394 488 596 713 788 1192 1403 1426 1576 1891 2806 2852 3427 3782 4531 4619 5612 5704 6107 6854 7564 9062 9089 9238 11224 12017 12214 13708 15128 18124 18178 18476 24034 24428 27416 29353 36248 36356 36952 43493 48068 48856 58706 72712 86986 96136 106237 117412 140461 173972 209047 212474 234824 276391 280922 281759 347944 372527 418094 424948 552782 561844 563518 675119 745054 836188 849896 909943 1105564 1123688 1127036 1350238 1490108 1672376 1790533 1819886 2211128 2254072 2700476 2980216 3581066 3639772 5400952 6480457 7162132 7279544 8568121 12960914 14324264 17136242 20928689 25921828 34272484 41182259 41857378 51843656 55506523 68544968 82364518 83714756 111013046 164729036 167429512 222026092 329458072 444052184 1276650029 2553300058 5106600116 10213200232