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11200333332 = 22319535871579
BaseRepresentation
bin10100110111001011…
…11000011000010100
31001220120101212220110
422123211320120110
5140414241131312
65051222003020
7544361156016
oct123345703024
931816355813
1011200333332
114828329231
122206b76470
13109659a596
1478373c1b6
1545846243c
hex29b978614

11200333332 has 96 divisors (see below), whose sum is σ = 28094169600. Its totient is φ = 3462106752.

The previous prime is 11200333321. The next prime is 11200333349. The reversal of 11200333332 is 23333300211.

It is a junction number, because it is equal to n+sod(n) for n = 11200333299 and 11200333308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7092519 + ... + 7094097.

It is an arithmetic number, because the mean of its divisors is an integer number (292647600).

Almost surely, 211200333332 is an apocalyptic number.

11200333332 is a gapful number since it is divisible by the number (12) 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 11200333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047084800).

11200333332 is an abundant number, since it is smaller than the sum of its proper divisors (16893836268).

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

11200333332 is a wasteful number, since it uses less digits than its factorization.

11200333332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 11200333332 its reverse (23333300211), we get a palindrome (34533633543).

The spelling of 11200333332 in words is "eleven billion, two hundred million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 587 636 1007 1174 1579 1761 2014 2348 3021 3158 3522 4028 4737 6042 6316 7044 9474 11153 12084 18948 22306 30001 31111 33459 44612 60002 62222 66918 83687 90003 93333 120004 124444 133836 167374 180006 186666 251061 334748 360012 373332 502122 591109 926873 1004244 1182218 1590053 1773327 1853746 2364436 2780619 3180106 3546654 3707492 4770159 5561238 6360212 7093308 9540318 11122476 17610587 19080636 35221174 49124269 52831761 70442348 98248538 105663522 147372807 196497076 211327044 294745614 589491228 933361111 1866722222 2800083333 3733444444 5600166666 11200333332