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11003202112 = 267227257421
BaseRepresentation
bin10100011111101011…
…11000101001000000
31001101211110120201011
422033311320221000
5140013304431422
65015500450304
7536445450310
oct121765705100
931354416634
1011003202112
114737025671
122170b49994
1310647a8ca6
147654a5440
15445ec3077
hex28fd78a40

11003202112 has 112 divisors (see below), whose sum is σ = 25220907648. Its totient is φ = 4665507840.

The previous prime is 11003202107. The next prime is 11003202131. The reversal of 11003202112 is 21120230011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 11003202092 and 11003202101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26135662 + ... + 26136082.

Almost surely, 211003202112 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 11003202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610453824).

11003202112 is an abundant number, since it is smaller than the sum of its proper divisors (14217705536).

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

11003202112 is a wasteful number, since it uses less digits than its factorization.

11003202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11003202112 its reverse (21120230011), we get a palindrome (32123432123).

The spelling of 11003202112 in words is "eleven billion, three million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 227 257 421 448 454 514 842 908 1028 1589 1684 1799 1816 2056 2947 3178 3368 3598 3632 4112 5894 6356 6736 7196 7264 8224 11788 12712 13472 14392 14528 16448 23576 25424 26944 28784 47152 50848 57568 58339 94304 95567 101696 108197 115136 116678 188608 191134 216394 233356 382268 408373 432788 466712 668969 757379 764536 816746 865576 933424 1337938 1514758 1529072 1633492 1731152 1866848 2675876 3029516 3058144 3266984 3462304 3733696 5351752 6059032 6116288 6533968 6924608 10703504 12118064 13067936 21407008 24236128 24560719 26135872 42814016 48472256 49121438 98242876 171925033 196485752 343850066 392971504 687700132 785943008 1375400264 1571886016 2750800528 5501601056 11003202112