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11031150214240 = 2551312494246147
BaseRepresentation
bin1010000010000110001111…
…0010100011110001100000
31110001120022211021111222221
42200201203302203301200
52421213243423323430
635243350200440424
72215655120504422
oct240414362436140
943046284244887
1011031150214240
113573314794a22
1212a1ab1a79114
13620304b9b8a0
142a1ca6670812
15141e2b28757a
hexa0863ca3c60

11031150214240 has 96 divisors (see below), whose sum is σ = 28088269020000. Its totient is φ = 4069778079744.

The previous prime is 11031150214159. The next prime is 11031150214247. The reversal of 11031150214240 is 4241205113011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031150214247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474847 + ... + 4720993.

It is an arithmetic number, because the mean of its divisors is an integer number (292586135625).

Almost surely, 211031150214240 is an apocalyptic number.

11031150214240 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 11031150214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14044134510000).

11031150214240 is an abundant number, since it is smaller than the sum of its proper divisors (17057118805760).

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

11031150214240 is a wasteful number, since it uses less digits than its factorization.

11031150214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247424 (or 4247416 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 11031150214240 its reverse (4241205113011), we get a palindrome (15272355327251).

The spelling of 11031150214240 in words is "eleven trillion, thirty-one billion, one hundred fifty million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1249 2080 2498 4996 6245 9992 12490 16237 19984 24980 32474 39968 49960 64948 81185 99920 129896 162370 199840 259792 324740 519584 649480 1298960 2597920 4246147 8492294 16984588 21230735 33969176 42461470 55199911 67938352 84922940 110399822 135876704 169845880 220799644 275999555 339691760 441599288 551999110 679383520 883198576 1103998220 1766397152 2207996440 4415992880 5303437603 8831985760 10606875206 21213750412 26517188015 42427500824 53034376030 68944688839 84855001648 106068752060 137889377678 169710003296 212137504120 275778755356 344723444195 424275008240 551557510712 689446888390 848550016480 1103115021424 1378893776780 2206230042848 2757787553560 5515575107120 11031150214240