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11435432330 = 2572172233511
BaseRepresentation
bin10101010011001101…
…01101100110001010
31002111221210011002202
422221212231212022
5141404432313310
65130421000202
7553244366600
oct125146554612
932457704082
1011435432330
114939004623
122271853062
1311031c370a
147a6a59870
1546de013a5
hex2a99ad98a

11435432330 has 144 divisors (see below), whose sum is σ = 26549202816. Its totient is φ = 3528645120.

The previous prime is 11435432329. The next prime is 11435432339. The reversal of 11435432330 is 3323453411.

11435432330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114354323302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11435432293 and 11435432302.

It is not an unprimeable number, because it can be changed into a prime (11435432339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3255275 + ... + 3258785.

It is an arithmetic number, because the mean of its divisors is an integer number (184369464).

Almost surely, 211435432330 is an apocalyptic number.

11435432330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11435432330 is an abundant number, since it is smaller than the sum of its proper divisors (15113770486).

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

11435432330 is a wasteful number, since it uses less digits than its factorization.

11435432330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 11435432330 its reverse (3323453411), we get a palindrome (14758885741).

The spelling of 11435432330 in words is "eleven billion, four hundred thirty-five million, four hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 23 34 35 46 49 70 85 98 115 119 161 170 230 238 245 289 322 391 490 578 595 782 805 833 1127 1190 1445 1610 1666 1955 2023 2254 2737 2890 3511 3910 4046 4165 5474 5635 6647 7022 8330 10115 11270 13294 13685 14161 17555 19159 20230 24577 27370 28322 33235 35110 38318 46529 49154 59687 66470 70805 80753 93058 95795 119374 122885 141610 161506 172039 191590 232645 245770 298435 325703 344078 403765 417809 465290 565271 596870 651406 807530 835618 860195 1014679 1130542 1372801 1628515 1720390 2029358 2089045 2745602 2826355 2924663 3257030 3956897 4178090 5073395 5652710 5849326 6864005 7102753 7913794 9609607 10146790 13728010 14205506 14623315 19219214 19784485 23337617 29246630 35513765 39568970 46675234 48048035 49719271 67267249 71027530 96096070 99438542 116688085 134534498 163363319 233376170 248596355 326726638 336336245 497192710 672672490 816816595 1143543233 1633633190 2287086466 5717716165 11435432330