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10033434411 = 37111337731237
BaseRepresentation
bin10010101100000101…
…00000111100101011
3221220020200021111220
421112002200330223
5131022024400121
64335335153123
7503431533240
oct112602407453
927806607456
1010033434411
114289680860
121b402157a3
13c3b8c5750
146b27875c7
153dacb46c6
hex2560a0f2b

10033434411 has 128 divisors (see below), whose sum is σ = 18715232256. Its totient is φ = 4613345280.

The previous prime is 10033434407. The next prime is 10033434503. The reversal of 10033434411 is 11443433001.

It is not a de Polignac number, because 10033434411 - 22 = 10033434407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10033434811) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8110485 + ... + 8111721.

It is an arithmetic number, because the mean of its divisors is an integer number (146212752).

Almost surely, 210033434411 is an apocalyptic number.

10033434411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10033434411 is a deficient number, since it is larger than the sum of its proper divisors (8681797845).

10033434411 is a wasteful number, since it uses less digits than its factorization.

10033434411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10033434411 its reverse (11443433001), we get a palindrome (21476867412).

It can be divided in two parts, 10033 and 434411, that added together give a palindrome (444444).

The spelling of 10033434411 in words is "ten billion, thirty-three million, four hundred thirty-four thousand, four hundred eleven".

Divisors: 1 3 7 11 13 21 33 37 39 73 77 91 111 143 219 231 259 273 407 429 481 511 777 803 949 1001 1221 1237 1443 1533 2409 2701 2847 2849 3003 3367 3711 5291 5621 6643 8103 8547 8659 10101 10439 13607 15873 16081 16863 18907 19929 25977 29711 31317 35113 37037 40821 45769 48243 56721 73073 89133 90301 95249 105339 111111 112567 137307 176891 207977 219219 245791 270903 285747 320383 337701 386243 503459 530673 594997 623931 632107 737373 961149 993311 1158729 1173913 1238237 1510377 1784991 1896321 2703701 2979933 3341137 3521739 3524213 3714711 4164979 6544967 6953177 8111103 8217391 10023411 10572639 12494937 12913043 19634901 20859531 23387959 24652173 36752507 38739129 43434781 45814769 70163877 90391301 110257521 130304343 137444307 257267549 271173903 304043467 477782591 771802647 912130401 1433347773 3344478137 10033434411