Search a number
-
+
10133132130310 = 2573153149591319
BaseRepresentation
bin1001001101110100110110…
…1111011011100000000110
31022212201101101211012111111
42103131031233123200012
52312010123311132220
633315032512355234
72064044313650020
oct223351557334006
938781341735444
1010133132130310
113257489a0aaa2
121177a51545b1a
1358671cbc78a7
14270636597010
151288bcc4a15a
hex9374dbdb806

10133132130310 has 128 divisors (see below), whose sum is σ = 22070900736000. Its totient is φ = 3276563996160.

The previous prime is 10133132130293. The next prime is 10133132130337. The reversal of 10133132130310 is 1303123133101.

It is a super-2 number, since 2×101331321303102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16840831 + ... + 17432149.

It is an arithmetic number, because the mean of its divisors is an integer number (172428912000).

Almost surely, 210133132130310 is an apocalyptic number.

10133132130310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10133132130310 is an abundant number, since it is smaller than the sum of its proper divisors (11937768605690).

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

10133132130310 is a wasteful number, since it uses less digits than its factorization.

10133132130310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591566.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10133132130310 its reverse (1303123133101), we get a palindrome (11436255263411).

The spelling of 10133132130310 in words is "ten trillion, one hundred thirty-three billion, one hundred thirty-two million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 31 35 53 62 70 106 149 155 217 265 298 310 371 434 530 742 745 1043 1085 1490 1643 1855 2086 2170 3286 3710 4619 5215 7897 8215 9238 10430 11501 15794 16430 23002 23095 32333 39485 46190 55279 57505 64666 78970 110558 115010 161665 244807 276395 323330 489614 552790 591319 1182638 1224035 1713649 2448070 2956595 3427298 4139233 5913190 8278466 8568245 17136490 18330889 20696165 31339907 36661778 41392330 62679814 88106531 91654445 128316223 156699535 176213062 183308890 219379349 256632446 313399070 438758698 440532655 616745717 641581115 881065310 971537117 1096896745 1233491434 1283162230 1943074234 2193793490 2731302461 3083728585 4669646143 4857685585 5462604922 6167457170 6800759819 9339292286 9715371170 13601519638 13656512305 19119117227 23348230715 27313024610 32687523001 34003799095 38238234454 46696461430 65375046002 68007598190 95595586135 144759030433 163437615005 191191172270 289518060866 326875230010 723795152165 1013313213031 1447590304330 2026626426062 5066566065155 10133132130310