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11111021010 = 2325235990977
BaseRepresentation
bin10100101100100010…
…01011100111010010
31001200100100100102200
422112101023213102
5140223410133020
65034311424030
7542225056155
oct122621134722
931610310380
1011111021010
1147919775a1
1221a1085016
131080c2965b
1477592dc9c
154506be590
hex29644b9d2

11111021010 has 96 divisors (see below), whose sum is σ = 30655946880. Its totient is φ = 2786049024.

The previous prime is 11111021003. The next prime is 11111021011. The reversal of 11111021010 is 1012011111.

It is a super-2 number, since 2×111110210102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11111020983 and 11111021001.

It is not an unprimeable number, because it can be changed into a prime (11111021011) 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, 76642 + ... + 167618.

It is an arithmetic number, because the mean of its divisors is an integer number (319332780).

Almost surely, 211111021010 is an apocalyptic number.

11111021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327973440).

11111021010 is an abundant number, since it is smaller than the sum of its proper divisors (19544925870).

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

11111021010 is a wasteful number, since it uses less digits than its factorization.

11111021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91072 (or 91069 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11111021010 its reverse (1012011111), we get a palindrome (12123032121).

It can be divided in two parts, 1111 and 1021010, that added together give a square (1022121 = 10112).

The spelling of 11111021010 in words is "eleven billion, one hundred eleven million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 59 69 90 115 118 138 177 207 230 295 345 354 414 531 590 690 885 1035 1062 1357 1770 2070 2655 2714 4071 5310 6785 8142 12213 13570 20355 24426 40710 61065 90977 122130 181954 272931 454885 545862 818793 909770 1364655 1637586 2092471 2729310 4093965 4184942 5367643 6277413 8187930 10462355 10735286 12554826 16102929 18832239 20924710 26838215 31387065 32205858 37664478 48308787 53676430 62774130 80514645 94161195 96617574 123455789 161029290 188322390 241543935 246911578 370367367 483087870 617278945 740734734 1111102101 1234557890 1851836835 2222204202 3703673670 5555510505 11111021010