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11200332012 = 2233755745289
BaseRepresentation
bin10100110111001011…
…11000000011101100
31001220120101211002120
422123211320003230
5140414241111022
65051221552540
7544361152122
oct123345700354
931816354076
1011200332012
114828328241
122206b75750
131096599abc
1478373b912
15458461d5c
hex29b9780ec

11200332012 has 48 divisors (see below), whose sum is σ = 26889216480. Its totient is φ = 3625938432.

The previous prime is 11200332001. The next prime is 11200332029. The reversal of 11200332012 is 21023300211.

11200332012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11200331982 and 11200332000.

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 15 ways as a sum of consecutive naturals, for example, 224664 + ... + 269952.

It is an arithmetic number, because the mean of its divisors is an integer number (560192010).

Almost surely, 211200332012 is an apocalyptic number.

11200332012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200332012 is an abundant number, since it is smaller than the sum of its proper divisors (15688884468).

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

11200332012 is a wasteful number, since it uses less digits than its factorization.

11200332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45890 (or 45888 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11200332012 its reverse (21023300211), we get a palindrome (32223632223).

The spelling of 11200332012 in words is "eleven billion, two hundred million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 557 1114 1671 2228 3342 6684 20609 41218 45289 61827 82436 90578 123654 135867 181156 247308 271734 543468 1675693 3351386 5027079 6702772 10054158 20108316 25225973 50451946 75677919 100903892 151355838 302711676 933361001 1866722002 2800083003 3733444004 5600166006 11200332012