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10302120234434 = 2779599115313487
BaseRepresentation
bin1001010111101010011000…
…1101111000110111000010
31100110212120110202100102202
42111322212031320313002
52322242220240000214
633524421222113202
72112206100100310
oct225724615706702
940425513670382
1010302120234434
113312117329886
1211a475327b802
1359964130b002
142788a7aa70b0
1512cead8146de
hex95ea6378dc2

10302120234434 has 64 divisors (see below), whose sum is σ = 17931055104000. Its totient is φ = 4347931281408.

The previous prime is 10302120234281. The next prime is 10302120234451. The reversal of 10302120234434 is 43443202120301.

It is a super-2 number, since 2×103021202344342 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10302120234397 and 10302120234406.

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, 763848839 + ... + 763862325.

It is an arithmetic number, because the mean of its divisors is an integer number (280172736000).

Almost surely, 210302120234434 is an apocalyptic number.

10302120234434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10302120234434 is a deficient number, since it is larger than the sum of its proper divisors (7628934869566).

10302120234434 is a wasteful number, since it uses less digits than its factorization.

10302120234434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15327.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10302120234434 its reverse (43443202120301), we get a palindrome (53745322354735).

The spelling of 10302120234434 in words is "ten trillion, three hundred two billion, one hundred twenty million, two hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 7 14 79 158 553 599 1106 1153 1198 2306 4193 8071 8386 13487 16142 26974 47321 91087 94409 94642 182174 188818 331247 637609 662494 690647 1065473 1275218 1381294 2130946 4834529 7458311 8078713 9669058 14916622 15550511 16157426 31101022 54561113 56550991 108853577 109122226 113101982 217707154 381927791 638218327 763855582 1228490369 1276436654 2456980738 4467528289 8599432583 8935056578 9314756089 17198865166 18629512178 65203292623 130406585246 735865731031 1471731462062 5151060117217 10302120234434