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10130412241235 = 5111367883239489
BaseRepresentation
bin1001001101101010101110…
…0111111000000101010011
31022212110100211212112010002
42103122223213320011103
52311434041013204420
633313502552000215
72063620026166166
oct223325347700523
938773324775102
1010130412241235
11325631367a090
12117741269006b
135863a8569380
14270459267add
151287ae087075
hex936ab9f8153

10130412241235 has 64 divisors (see below), whose sum is σ = 14511392663040. Its totient is φ = 6691716218880.

The previous prime is 10130412241231. The next prime is 10130412241237. The reversal of 10130412241235 is 53214221403101.

It is a happy number.

It is not a de Polignac number, because 10130412241235 - 22 = 10130412241231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10130412241198 and 10130412241207.

It is not an unprimeable number, because it can be changed into a prime (10130412241231) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 42180371 + ... + 42419859.

It is an arithmetic number, because the mean of its divisors is an integer number (226740510360).

Almost surely, 210130412241235 is an apocalyptic number.

10130412241235 is a deficient number, since it is larger than the sum of its proper divisors (4380980421805).

10130412241235 is a wasteful number, since it uses less digits than its factorization.

10130412241235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240468.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 10130412241235 its reverse (53214221403101), we get a palindrome (63344633644336).

The spelling of 10130412241235 in words is "ten trillion, one hundred thirty billion, four hundred twelve million, two hundred forty-one thousand, two hundred thirty-five".

Divisors: 1 5 11 13 55 65 67 143 335 715 737 871 883 3685 4355 4415 9581 9713 11479 47905 48565 57395 59161 126269 239489 295805 631345 650771 769093 1197445 2634379 3113357 3253855 3845465 8460023 13171895 15566785 16045763 34246927 42300115 80228815 171234635 176503393 208594919 211468787 882516965 1042974595 1057343935 2294544109 2326156657 2749094231 11472720545 11630783285 13745471155 14168408729 30240036541 70842043645 151200182705 155852496019 184189313477 779262480095 920946567385 2026082448247 10130412241235