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11202120032 = 256123512441
BaseRepresentation
bin10100110111011001…
…01100100101100000
31001220200202122210112
422123230230211200
5140420220320112
65051324150452
7544412310035
oct123354544540
931820678715
1011202120032
114829339644
122207698428
131096a748bc
14783a8538c
154586b6a22
hex29bb2c960

11202120032 has 48 divisors (see below), whose sum is σ = 22434439104. Its totient is φ = 5504640000.

The previous prime is 11202119993. The next prime is 11202120049. The reversal of 11202120032 is 23002120211.

It is a happy number.

It is a super-2 number, since 2×112021200322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11202119989 and 11202120016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4587932 + ... + 4590372.

It is an arithmetic number, because the mean of its divisors is an integer number (467384148).

Almost surely, 211202120032 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 11202120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217219552).

11202120032 is an abundant number, since it is smaller than the sum of its proper divisors (11232319072).

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

11202120032 is a wasteful number, since it uses less digits than its factorization.

11202120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11202120032 its reverse (23002120211), we get a palindrome (34204240243).

The spelling of 11202120032 in words is "eleven billion, two hundred two million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2351 2441 4702 4882 9404 9764 18808 19528 37616 39056 75232 78112 143411 148901 286822 297802 573644 595604 1147288 1191208 2294576 2382416 4589152 4764832 5738791 11477582 22955164 45910328 91820656 183641312 350066251 700132502 1400265004 2800530008 5601060016 11202120032