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131101230222431 = 7194764136319011
BaseRepresentation
bin11101110011110001100010…
…010000011100110001011111
3122012012011012010221211102022
4131303301202100130301133
5114140430304414104211
61142455023531250355
736420515462150360
oct3563614220346137
9565164163854368
10131101230222431
11388557a0727577
12128543688a99bb
13581ca401a6c11
142453494bc1b67
15102539d054bdb
hex773c6241cc5f

131101230222431 has 64 divisors (see below), whose sum is σ = 161385038807040. Its totient is φ = 103990334976000.

The previous prime is 131101230222409. The next prime is 131101230222437. The reversal of 131101230222431 is 134222032101131.

It is a cyclic number.

It is not a de Polignac number, because 131101230222431 - 214 = 131101230206047 is a prime.

It is a super-2 number, since 2×1311012302224312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131101230222431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101230222437) 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, 14549016716 + ... + 14549025726.

It is an arithmetic number, because the mean of its divisors is an integer number (2521641231360).

Almost surely, 2131101230222431 is an apocalyptic number.

131101230222431 is a deficient number, since it is larger than the sum of its proper divisors (30283808584609).

131101230222431 is a wasteful number, since it uses less digits than its factorization.

131101230222431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13356.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131101230222431 its reverse (134222032101131), we get a palindrome (265323262323562).

The spelling of 131101230222431 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred thirty million, two hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 7 19 47 133 329 641 893 3631 4487 6251 9011 12179 25417 30127 63077 68989 85253 170657 171209 210889 423517 482923 572413 1194599 1198463 2327471 2964619 3242483 4006891 5776051 8046823 16292297 22697381 32718941 40432357 44221949 56327761 109391137 109744969 229032587 271474397 309553643 621659879 765737959 768214783 1537790227 1900320779 2078431603 4351619153 5158013543 10764531589 14549021221 20972841181 29218014313 36106094801 146809888267 204526100191 398483982439 985723535507 2789387877073 6900064748549 18728747174633 131101230222431