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11242211435400 = 23352111703365369
BaseRepresentation
bin1010001110011000100000…
…0001001110001110001000
31110210202010001012110101010
42203212020001032032020
52433143022111413100
635524333423123520
72240136323335551
oct243461001161610
943722101173333
1011242211435400
1136448822a9310
121316995a435a0
1363719c9cc12a
142ac1a97db328
15147680840750
hexa398804e388

11242211435400 has 96 divisors (see below), whose sum is σ = 38019115058400. Its totient is φ = 2725384588800.

The previous prime is 11242211435369. The next prime is 11242211435419. The reversal of 11242211435400 is 453411224211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851676085 + ... + 851689284.

It is an arithmetic number, because the mean of its divisors is an integer number (396032448525).

Almost surely, 211242211435400 is an apocalyptic number.

11242211435400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242211435400 is an abundant number, since it is smaller than the sum of its proper divisors (26776903623000).

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

11242211435400 is a wasteful number, since it uses less digits than its factorization.

11242211435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703365399 (or 1703365390 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11242211435400 its reverse (453411224211), we get a palindrome (11695622659611).

It can be divided in two parts, 11242211 and 435400, that added together give a palindrome (11677611).

The spelling of 11242211435400 in words is "eleven trillion, two hundred forty-two billion, two hundred eleven million, four hundred thirty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 1703365369 3406730738 5110096107 6813461476 8516826845 10220192214 13626922952 17033653690 18737019059 20440384428 25550480535 34067307380 37474038118 40880768856 42584134225 51100961070 56211057177 68134614760 74948076236 85168268450 93685095295 102201922140 112422114354 127752402675 149896152472 170336536900 187370190590 204403844280 224844228708 255504805350 281055285885 340673073800 374740381180 449688457416 468425476475 511009610700 562110571770 749480762360 936850952950 1022019221400 1124221143540 1405276429425 1873701905900 2248442287080 2810552858850 3747403811800 5621105717700 11242211435400