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11111110020 = 223252315311753
BaseRepresentation
bin10100101100100011…
…00001010110000100
31001200100111212112100
422112101201112010
5140223421010040
65034313352100
7542225606523
oct122621412604
931610455470
1011111110020
114791a2845a
1221a1108630
131080c5b01a
147759544ba
154506dab30
hex296461584

11111110020 has 144 divisors (see below), whose sum is σ = 35212125312. Its totient is φ = 2830671360.

The previous prime is 11111110013. The next prime is 11111110033. The reversal of 11111110020 is 2001111111.

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 = 11111109984 and 11111110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6337464 + ... + 6339216.

It is an arithmetic number, because the mean of its divisors is an integer number (244528648).

Almost surely, 211111110020 is an apocalyptic number.

11111110020 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 11111110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606062656).

11111110020 is an abundant number, since it is smaller than the sum of its proper divisors (24101015292).

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

11111110020 is a wasteful number, since it uses less digits than its factorization.

11111110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3317 counting only the distinct ones).

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

Adding to 11111110020 its reverse (2001111111), we get a palindrome (13112221131).

The spelling of 11111110020 in words is "eleven billion, one hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 1531 1753 2070 3062 3506 4140 4593 5259 6124 7012 7655 8765 9186 10518 13779 15310 15777 17530 18372 21036 22965 26295 27558 30620 31554 35060 35213 40319 45930 52590 55116 63108 68895 70426 78885 80638 91860 105180 105639 120957 137790 140852 157770 161276 176065 201595 211278 241914 275580 315540 316917 352130 362871 403190 422556 483828 528195 604785 633834 704260 725742 806380 1056390 1209570 1267668 1451484 1584585 1814355 2112780 2419140 2683843 3169170 3628710 5367686 6338340 7257420 8051529 10735372 13419215 16103058 24154587 26838430 32206116 40257645 48309174 53676860 61728389 80515290 96618348 120772935 123456778 161030580 185185167 241545870 246913556 308641945 370370334 483091740 555555501 617283890 740740668 925925835 1111111002 1234567780 1851851670 2222222004 2777777505 3703703340 5555555010 11111110020