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11020205252 = 22723110317609
BaseRepresentation
bin10100100001101101…
…01111110011000100
31001110000110102122002
422100312233303010
5140032133032002
65021305124432
7540043125200
oct122066576304
931400412562
1011020205252
114745689351
122176789718
131068180314
1476784db00
15447731002
hex290dafcc4

11020205252 has 72 divisors (see below), whose sum is σ = 23383825920. Its totient is φ = 4525960320.

The previous prime is 11020205227. The next prime is 11020205269. The reversal of 11020205252 is 25250202011.

It is a happy number.

11020205252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 617024 + ... + 634632.

It is an arithmetic number, because the mean of its divisors is an integer number (324775360).

Almost surely, 211020205252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020205252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11691912960).

11020205252 is an abundant number, since it is smaller than the sum of its proper divisors (12363620668).

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

11020205252 is a wasteful number, since it uses less digits than its factorization.

11020205252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17761 (or 17752 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 11020205252 its reverse (25250202011), we get a palindrome (36270407263).

The spelling of 11020205252 in words is "eleven billion, twenty million, two hundred five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 49 62 98 103 124 196 206 217 412 434 721 868 1442 1519 2884 3038 3193 5047 6076 6386 10094 12772 17609 20188 22351 35218 44702 70436 89404 123263 156457 246526 312914 493052 545879 625828 862841 1091758 1725682 1813727 2183516 3451364 3627454 3821153 7254908 7642306 12696089 15284612 25392178 26748071 50784356 53496142 56225537 88872623 106992284 112451074 177745246 224902148 355490492 393578759 787157518 1574315036 2755051313 5510102626 11020205252