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11010010100100 = 223521111329525369
BaseRepresentation
bin1010000000110111011110…
…1111011011000110000100
31102222112202112102110011120
42200031313233123012010
52420342000041200400
635225532342433540
72214306212502534
oct240156757330604
942875675373146
1011010010100100
113565356742310
1212999921328b0
1361b3162397cb
142a0c5cba74c4
151415e03aeca0
hexa0377bdb184

11010010100100 has 144 divisors (see below), whose sum is σ = 35059132946880. Its totient is φ = 2645472972800.

The previous prime is 11010010099931. The next prime is 11010010100101. The reversal of 11010010100100 is 100101001011.

11010010100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (11010010100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14389785 + ... + 15135584.

It is an arithmetic number, because the mean of its divisors is an integer number (243466201020).

Almost surely, 211010010100100 is an apocalyptic number.

11010010100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010010100100 is an abundant number, since it is smaller than the sum of its proper divisors (24049122846780).

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

11010010100100 is a wasteful number, since it uses less digits than its factorization.

11010010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29525510 (or 29525503 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11010010100100 its reverse (100101001011), we get a palindrome (11110111101111).

It can be divided in two parts, 1 and 1010010100100, that added together give a palindrome (1010010100101).

The spelling of 11010010100100 in words is "eleven trillion, ten billion, ten million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 113 132 150 165 220 226 275 300 330 339 452 550 565 660 678 825 1100 1130 1243 1356 1650 1695 2260 2486 2825 3300 3390 3729 4972 5650 6215 6780 7458 8475 11300 12430 14916 16950 18645 24860 31075 33900 37290 62150 74580 93225 124300 186450 372900 29525369 59050738 88576107 118101476 147626845 177152214 295253690 324779059 354304428 442880535 590507380 649558118 738134225 885761070 974337177 1299116236 1476268450 1623895295 1771522140 1948674354 2214402675 2952536900 3247790590 3336366697 3897348708 4428805350 4871685885 6495581180 6672733394 8119476475 8857610700 9743371770 10009100091 13345466788 16238952950 16681833485 19486743540 20018200182 24358429425 32477905900 33363666970 36700033667 40036400364 48716858850 50045500455 66727333940 73400067334 83409167425 97433717700 100091000910 110100101001 146800134668 166818334850 183500168335 200182001820 220200202002 250227502275 333636669700 367000336670 440400404004 500455004550 550500505005 734000673340 917500841675 1000910009100 1101001010010 1835001683350 2202002020020 2752502525025 3670003366700 5505005050050 11010010100100