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11012221020 = 22351919350051
BaseRepresentation
bin10100100000110000…
…10010100001011100
31001102110102210022210
422100120102201130
5140023112033040
65020422040420
7536615222433
oct122030224134
931373383283
1011012221020
114741125709
122173b79110
131066616118
1476677211a
15446ba5480
hex29061285c

11012221020 has 96 divisors (see below), whose sum is σ = 32625895680. Its totient is φ = 2767564800.

The previous prime is 11012220959. The next prime is 11012221027. The reversal of 11012221020 is 2012221011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11012220987 and 11012221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012221027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194995 + ... + 245045.

It is an arithmetic number, because the mean of its divisors is an integer number (339853080).

Almost surely, 211012221020 is an apocalyptic number.

11012221020 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 11012221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312947840).

11012221020 is an abundant number, since it is smaller than the sum of its proper divisors (21613674660).

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

11012221020 is a wasteful number, since it uses less digits than its factorization.

11012221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50275 (or 50273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012221020 its reverse (2012221011), we get a palindrome (13024442031).

Subtracting from 11012221020 its reverse (2012221011), we obtain a palindrome (9000000009).

The spelling of 11012221020 in words is "eleven billion, twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 193 228 285 380 386 570 579 772 965 1140 1158 1930 2316 2895 3667 3860 5790 7334 11001 11580 14668 18335 22002 36670 44004 50051 55005 73340 100102 110010 150153 200204 220020 250255 300306 500510 600612 750765 950969 1001020 1501530 1901938 2852907 3003060 3803876 4754845 5705814 9509690 9659843 11411628 14264535 19019380 19319686 28529070 28979529 38639372 48299215 57058140 57959058 96598430 115918116 144897645 183537017 193196860 289795290 367074034 550611051 579590580 734148068 917685085 1101222102 1835370170 2202444204 2753055255 3670740340 5506110510 11012221020