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112261054546311 = 3111923179197220757
BaseRepresentation
bin11001100001100111010000…
…010001110100000110000111
3112201111001101220120121220120
4121201213100101310012013
5104203241114430440221
61034432003321433023
732434410404201436
oct3141472021640607
9481431356517816
10112261054546311
1132851711719510
1210710b4003b773
134a84230c09878
141da166d43111d
15cea27ac705c6
hex6619d0474187

112261054546311 has 128 divisors (see below), whose sum is σ = 181274460364800. Its totient is φ = 60997743797760.

The previous prime is 112261054546309. The next prime is 112261054546321. The reversal of 112261054546311 is 113645450162211.

It is a happy number.

It is not a de Polignac number, because 112261054546311 - 21 = 112261054546309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112261054546321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 508417345 + ... + 508638101.

It is an arithmetic number, because the mean of its divisors is an integer number (1416206721600).

Almost surely, 2112261054546311 is an apocalyptic number.

112261054546311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112261054546311 is a deficient number, since it is larger than the sum of its proper divisors (69013405818489).

112261054546311 is a wasteful number, since it uses less digits than its factorization.

112261054546311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221189.

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 112261054546311 in words is "one hundred twelve trillion, two hundred sixty-one billion, fifty-four million, five hundred forty-six thousand, three hundred eleven".

Divisors: 1 3 11 19 23 33 57 69 179 197 209 253 437 537 591 627 759 1311 1969 2167 3401 3743 4117 4531 4807 5907 6501 10203 11229 12351 13593 14421 35263 37411 41173 45287 49841 78223 86089 105789 112233 123519 135861 149523 220757 234669 258267 387893 662271 669997 811049 860453 946979 1163679 2009991 2428327 2433147 2581359 2840937 4194383 5077411 7284981 7369967 8921539 12583149 15232233 15409931 22109901 26764617 39515503 43489129 46138213 46229793 55851521 96470809 118546509 130467387 138414639 167554563 169509241 289412427 434670533 478380419 508527723 750794557 826293451 908856569 1000249967 1061178899 1304011599 1435141257 2252383671 2478880353 2726569707 3000749901 3183536697 7784554091 8258740127 9089227961 9997422259 11002749637 17268274811 19004749373 23353662273 24776220381 27267683883 29992266777 33008248911 51804824433 57014248119 85630095001 147906527729 179044744093 189951022921 209052243103 256890285003 443719583187 537134232279 569853068763 627156729309 1626971805019 1969492185023 3401850137767 4880915415057 5908476555069 10205550413301 37420351515437 112261054546311