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11021101020 = 223251711933019
BaseRepresentation
bin10100100001110100…
…01010011111011100
31001110002010221101200
422100322022133130
5140032400213040
65021340235500
7540053545566
oct122072123734
931402127350
1011021101020
114746140356
122176b3bb90
131068404c67
14767a04336
1544785b630
hex290e8a7dc

11021101020 has 144 divisors (see below), whose sum is σ = 35438588640. Its totient is φ = 2762846208.

The previous prime is 11021100991. The next prime is 11021101093. The reversal of 11021101020 is 2010112011.

It is a happy number.

11021101020 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 11021100993 and 11021101011.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3649071 + ... + 3652089.

It is an arithmetic number, because the mean of its divisors is an integer number (246101310).

Almost surely, 211021101020 is an apocalyptic number.

11021101020 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 11021101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719294320).

11021101020 is an abundant number, since it is smaller than the sum of its proper divisors (24417487620).

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

11021101020 is a wasteful number, since it uses less digits than its factorization.

11021101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11021101020 its reverse (2010112011), we get a palindrome (13031213031).

The spelling of 11021101020 in words is "eleven billion, twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1193 1530 2386 3019 3060 3579 4772 5965 6038 7158 9057 10737 11930 12076 14316 15095 17895 18114 20281 21474 23860 27171 30190 35790 36228 40562 42948 45285 51323 53685 54342 60380 60843 71580 81124 90570 101405 102646 107370 108684 121686 135855 153969 181140 182529 202810 205292 214740 243372 256615 271710 304215 307938 365058 405620 461907 513230 543420 608430 615876 730116 769845 912645 923814 1026460 1216860 1539690 1825290 1847628 2309535 3079380 3601667 3650580 4619070 7203334 9238140 10805001 14406668 18008335 21610002 32415003 36016670 43220004 54025005 61228339 64830006 72033340 108050010 122456678 129660012 162075015 183685017 216100020 244913356 306141695 324150030 367370034 551055051 612283390 648300060 734740068 918425085 1102110102 1224566780 1836850170 2204220204 2755275255 3673700340 5510550510 11021101020