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4112032133022 = 23111134016132243
BaseRepresentation
bin111011110101101000001…
…101101110111110011110
3112120002212120220201202020
4323311220031232332132
51014332420211224042
612425012543241010
7603040663266462
oct73655015567636
915502776821666
104112032133022
1113459a2a36360
12564b332a9166
1323a9bc3107c8
141030483844a2
1571e6b6b13ec
hex3bd6836ef9e

4112032133022 has 128 divisors (see below), whose sum is σ = 9092527437312. Its totient is φ = 1229405184000.

The previous prime is 4112032133021. The next prime is 4112032133029. The reversal of 4112032133022 is 2203312302114.

It is a junction number, because it is equal to n+sod(n) for n = 4112032132983 and 4112032133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112032133021) 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, 1833272233 + ... + 1833274475.

It is an arithmetic number, because the mean of its divisors is an integer number (71035370604).

Almost surely, 24112032133022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112032133022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546263718656).

4112032133022 is an abundant number, since it is smaller than the sum of its proper divisors (4980495304290).

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

4112032133022 is a wasteful number, since it uses less digits than its factorization.

4112032133022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4112032133022 its reverse (2203312302114), we get a palindrome (6315344435136).

The spelling of 4112032133022 in words is "four trillion, one hundred twelve billion, thirty-two million, one hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 113 226 339 401 613 678 802 1203 1226 1243 1839 2243 2406 2486 3678 3729 4411 4486 6729 6743 7458 8822 13233 13458 13486 20229 24673 26466 40458 45313 49346 69269 74019 90626 135939 138538 148038 207807 245813 253459 271878 415614 491626 498443 506918 737439 760377 761959 899443 996886 1374959 1474878 1495329 1520754 1523918 1798886 2285877 2698329 2703943 2749918 2788049 2990658 4124877 4571754 5396658 5407886 5576098 8111829 8249754 8364147 9893873 15124549 16223658 16728294 19787746 27776869 29681619 30249098 45373647 55553738 59363238 83330607 90747294 101637059 155370367 166661214 203274118 304911177 305545559 310740734 466111101 551358559 609822354 611091118 916636677 932222202 1102717118 1118007649 1654075677 1709074037 1833273354 2236015298 3308151354 3354022947 3418148074 5127222111 6064944149 6708045894 10254444222 12129888298 18194832447 36389664894 62303517167 124607034334 186910551501 373821103002 685338688837 1370677377674 2056016066511 4112032133022