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2133341120112 = 243235635716011
BaseRepresentation
bin11111000010110101000…
…010100010011001110000
321112221112012200120202020
4133002311002202121300
5234423040311320422
64312013211551440
7310062116216256
oct37026502423160
97487465616666
102133341120112
1175282149aa04
122a555775b580
131262336b7847
147537b99a5d6
153a75e31795c
hex1f0b50a2670

2133341120112 has 160 divisors (see below), whose sum is σ = 5772009424896. Its totient is φ = 677685676800.

The previous prime is 2133341120111. The next prime is 2133341120161. The reversal of 2133341120112 is 2110211433312.

It is a super-2 number, since 2×21333411201122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133341120111) 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, 354903187 + ... + 354909197.

Almost surely, 22133341120112 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 2133341120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886004712448).

2133341120112 is an abundant number, since it is smaller than the sum of its proper divisors (3638668304784).

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

2133341120112 is a wasteful number, since it uses less digits than its factorization.

2133341120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7179 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 2133341120112 its reverse (2110211433312), we get a palindrome (4243552553424).

The spelling of 2133341120112 in words is "two trillion, one hundred thirty-three billion, three hundred forty-one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 563 571 1104 1126 1142 1689 1713 2252 2284 3378 3426 4504 4568 6011 6756 6852 9008 9136 12022 12949 13133 13512 13704 18033 24044 25898 26266 27024 27408 36066 38847 39399 48088 51796 52532 72132 77694 78798 96176 103592 105064 138253 144264 155388 157596 207184 210128 276506 288528 310776 315192 321473 414759 553012 621552 630384 642946 829518 964419 1106024 1285892 1659036 1928838 2212048 2571784 3318072 3384193 3432281 3857676 5143568 6636144 6768386 6864562 7393879 7715352 10152579 10296843 13536772 13729124 14787758 15430704 20305158 20593686 22181637 27073544 27458248 29575516 40610316 41187372 44363274 54147088 54916496 59151032 77836439 78942463 81220632 82374744 88726548 118302064 155672878 157884926 162441264 164749488 177453096 233509317 236827389 311345756 315769852 354906192 467018634 473654778 622691512 631539704 934037268 947309556 1245383024 1263079408 1868074536 1894619112 1932374203 3736149072 3789238224 3864748406 5797122609 7729496812 11594245218 15458993624 23188490436 30917987248 44444606669 46376980872 88889213338 92753961744 133333820007 177778426676 266667640014 355556853352 533335280028 711113706704 1066670560056 2133341120112