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10434222320214 = 23711171328523341
BaseRepresentation
bin1001011111010110100000…
…0111010110101001010110
31100221111112220010121122110
42113311220013112221112
52331423241403221324
634105225432211450
72124563520226530
oct227655007265126
940844486117573
1010434222320214
113363146531090
12120627bb39b86
135a8c34850b84
1428103a402850
15131640ea3329
hex97d681d6a56

10434222320214 has 64 divisors (see below), whose sum is σ = 27548260019712. Its totient is φ = 2550764812800.

The previous prime is 10434222320201. The next prime is 10434222320233. The reversal of 10434222320214 is 41202322243401.

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 31 ways as a sum of consecutive naturals, for example, 664253817 + ... + 664269524.

It is an arithmetic number, because the mean of its divisors is an integer number (430441562808).

Almost surely, 210434222320214 is an apocalyptic number.

10434222320214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10434222320214 is an abundant number, since it is smaller than the sum of its proper divisors (17114037699498).

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

10434222320214 is a wasteful number, since it uses less digits than its factorization.

10434222320214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328523381.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10434222320214 its reverse (41202322243401), we get a palindrome (51636544563615).

The spelling of 10434222320214 in words is "ten trillion, four hundred thirty-four billion, two hundred twenty-two million, three hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 1122 1309 2618 3927 7854 1328523341 2657046682 3985570023 7971140046 9299663387 14613756751 18599326774 22584896797 27898990161 29227513502 43841270253 45169793594 55797980322 67754690391 87682540506 102296297257 135509380782 158094277579 204592594514 248433864767 306888891771 316188555158 474282832737 496867729534 613777783542 745301594301 948565665474 1490603188602 1739037053369 3478074106738 5217111160107 10434222320214