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420311024133 = 371113373782803
BaseRepresentation
bin1100001110111000111…
…11010100001000000101
31111011220012100022010220
412013130133110020011
523341244110233013
6521031015534553
742236461520550
oct6073437241005
91434805308126
10420311024133
11152286685460
126956138a459
13308345a3810
14164b38cb697
15adeeaeeb23
hex61dc7d4205

420311024133 has 64 divisors (see below), whose sum is σ = 772781463552. Its totient is φ = 196100455680.

The previous prime is 420311024129. The next prime is 420311024141. The reversal of 420311024133 is 331420113024.

It is a happy number.

It is not a de Polignac number, because 420311024133 - 22 = 420311024129 is a prime.

It is a super-2 number, since 2×4203110241332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420311024033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1780291 + ... + 2002512.

It is an arithmetic number, because the mean of its divisors is an integer number (12074710368).

Almost surely, 2420311024133 is an apocalyptic number.

It is an amenable number.

420311024133 is a deficient number, since it is larger than the sum of its proper divisors (352470439419).

420311024133 is a wasteful number, since it uses less digits than its factorization.

420311024133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782874.

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

Adding to 420311024133 its reverse (331420113024), we get a palindrome (751731137157).

The spelling of 420311024133 in words is "four hundred twenty billion, three hundred eleven million, twenty-four thousand, one hundred thirty-three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 3782803 11348409 26479621 41610833 49176439 79438863 124832499 139963711 147529317 291275831 344235073 419891133 540940829 873827493 979745977 1032705219 1539600821 1622822487 1819528243 2939237931 3786585803 4618802463 5458584729 10777205747 11359757409 12736697701 20014810673 32331617241 38210093103 60044432019 140103674711 420311024133