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113334434108148 = 2231122931311978657
BaseRepresentation
bin11001110001001110111010…
…101011111001001011110100
3112212021122222120121000120010
4121301032322223321023310
5104323332410112430043
61041013041550540220
732605066634012211
oct3161167253711364
9485248876530503
10113334434108148
1133125955482290
1210864b80807670
134b3151183ab86
141ddb5b725ab08
15d1814e664133
hex6713baaf92f4

113334434108148 has 96 divisors (see below), whose sum is σ = 290673156735360. Its totient is φ = 34084546928640.

The previous prime is 113334434108141. The next prime is 113334434108153. The reversal of 113334434108148 is 841801434433311.

It is a super-2 number, since 2×1133344341081482 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113334434108097 and 113334434108106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113334434108141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3472036 + ... + 15450692.

It is an arithmetic number, because the mean of its divisors is an integer number (3027845382660).

Almost surely, 2113334434108148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113334434108148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145336578367680).

113334434108148 is an abundant number, since it is smaller than the sum of its proper divisors (177338722627212).

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

113334434108148 is a wasteful number, since it uses less digits than its factorization.

113334434108148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979217 (or 11979215 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 113334434108148 in words is "one hundred thirteen trillion, three hundred thirty-four billion, four hundred thirty-four million, one hundred eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 229 313 458 626 687 916 939 1252 1374 1878 2519 2748 3443 3756 5038 6886 7557 10076 10329 13772 15114 20658 30228 41316 71677 143354 215031 286708 430062 788447 860124 1576894 2365341 3153788 4730682 9461364 11978657 23957314 35935971 47914628 71871942 131765227 143743884 263530454 395295681 527060908 790591362 1581182724 2743112453 3749319641 5486224906 7498639282 8229337359 10972449812 11247958923 14997278564 16458674718 22495917846 30174236983 32917349436 41242516051 44991835692 60348473966 82485032102 90522710949 120696947932 123727548153 164970064204 181045421898 247455096306 362090843796 494910192612 858594197789 1717188395578 2575782593367 3434376791156 5151565186734 9444536175679 10303130373468 18889072351358 28333608527037 37778144702716 56667217054074 113334434108148