Search a number
-
+
123311404342000 = 2453712017333853
BaseRepresentation
bin11100000010011010101100…
…011100111101101011110000
3121011121110021210020221022201
4130002122230130331223300
5112130313224002421000
61114132251020112544
734654645360524250
oct3402325434755360
9534543253227281
10123311404342000
1136322089036116
12119b66ab995754
1353a62a56b4824
14226443794d960
15e3c92c86796a
hex7026ac73daf0

123311404342000 has 160 divisors (see below), whose sum is σ = 341046036549504. Its totient is φ = 42242987520000.

The previous prime is 123311404341997. The next prime is 123311404342019. The reversal of 123311404342000 is 243404113321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 123311404342000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13147074 + ... + 20480926.

Almost surely, 2123311404342000 is an apocalyptic number.

123311404342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123311404342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170523018274752).

123311404342000 is an abundant number, since it is smaller than the sum of its proper divisors (217734632207504).

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

123311404342000 is a wasteful number, since it uses less digits than its factorization.

123311404342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335084 (or 7335068 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 123311404342000 its reverse (243404113321), we get a palindrome (123554808455321).

The spelling of 123311404342000 in words is "one hundred twenty-three trillion, three hundred eleven billion, four hundred four million, three hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1201 1400 1750 2000 2402 2800 3500 4804 6005 7000 8407 9608 12010 14000 16814 19216 24020 30025 33628 42035 48040 60050 67256 84070 96080 120100 134512 150125 168140 210175 240200 300250 336280 420350 480400 600500 672560 840700 1050875 1201000 1681400 2101750 2402000 3362800 4203500 7333853 8407000 14667706 16814000 29335412 36669265 51336971 58670824 73338530 102673942 117341648 146677060 183346325 205347884 256684855 293354120 366692650 410695768 513369710 586708240 733385300 821391536 916731625 1026739420 1283424275 1466770600 1833463250 2053478840 2566848550 2933541200 3666926500 4106957680 5133697100 6417121375 7333853000 8807957453 10267394200 12834242750 14667706000 17615914906 20534788400 25668485500 35231829812 44039787265 51336971000 61655702171 70463659624 88079574530 102673942000 123311404342 140927319248 176159149060 220198936325 246622808684 308278510855 352318298120 440397872650 493245617368 616557021710 704636596240 880795745300 986491234736 1100994681625 1233114043420 1541392554275 1761591490600 2201989363250 2466228086840 3082785108550 3523182981200 4403978726500 4932456173680 6165570217100 7706962771375 8807957453000 12331140434200 15413925542750 17615914906000 24662280868400 30827851085500 61655702171000 123311404342000