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11020220010 = 23255919910429
BaseRepresentation
bin10100100001101101…
…10011011001101010
31001110000111011212200
422100312303121222
5140032134020020
65021305321030
7540043216212
oct122066633152
931400434780
1011020220010
114745699448
122176796176
131068186c57
14767855242
15447735590
hex290db366a

11020220010 has 96 divisors (see below), whose sum is σ = 29287440000. Its totient is φ = 2874123648.

The previous prime is 11020219997. The next prime is 11020220047. The reversal of 11020220010 is 1002202011.

11020220010 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 = 11020219974 and 11020220001.

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, 1051476 + ... + 1061904.

It is an arithmetic number, because the mean of its divisors is an integer number (305077500).

Almost surely, 211020220010 is an apocalyptic number.

11020220010 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 11020220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14643720000).

11020220010 is an abundant number, since it is smaller than the sum of its proper divisors (18267219990).

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

11020220010 is a wasteful number, since it uses less digits than its factorization.

11020220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11020220010 its reverse (1002202011), we get a palindrome (12022422021).

The spelling of 11020220010 in words is "eleven billion, twenty million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 199 295 354 398 531 590 597 885 995 1062 1194 1770 1791 1990 2655 2985 3582 5310 5970 8955 10429 11741 17910 20858 23482 31287 35223 52145 58705 62574 70446 93861 104290 105669 117410 156435 176115 187722 211338 312870 352230 469305 528345 615311 938610 1056690 1230622 1845933 2075371 3076555 3691866 4150742 5537799 6153110 6226113 9229665 10376855 11075598 12452226 18459330 18678339 20753710 27688995 31130565 37356678 55377990 62261130 93391695 122446889 186783390 244893778 367340667 612234445 734681334 1102022001 1224468890 1836703335 2204044002 3673406670 5510110005 11020220010