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1100220212 = 2271317296131
BaseRepresentation
bin100000110010100…
…0000011100110100
32211200020222101202
41001211000130310
54223124021322
6301101312032
736156501050
oct10145003464
92750228352
101100220212
11515055803
12268565618
13146c29ca0
14a6198c60
15668cb292
hex41940734

1100220212 has 96 divisors (see below), whose sum is σ = 2596043520. Its totient is φ = 395458560.

The previous prime is 1100220211. The next prime is 1100220223. The reversal of 1100220212 is 2120220011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1100220193 and 1100220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100220211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176387 + ... + 182517.

It is an arithmetic number, because the mean of its divisors is an integer number (27042120).

Almost surely, 21100220212 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 1100220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298021760).

1100220212 is an abundant number, since it is smaller than the sum of its proper divisors (1495823308).

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

1100220212 is a wasteful number, since it uses less digits than its factorization.

1100220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1100220212 is about 33169.5675582302. The cubic root of 1100220212 is about 1032.3489958507.

Adding to 1100220212 its reverse (2120220011), we get a palindrome (3220440223).

The spelling of 1100220212 in words is "one billion, one hundred million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 17 26 28 29 34 52 58 68 91 116 119 182 203 221 238 364 377 406 442 476 493 754 812 884 986 1508 1547 1972 2639 3094 3451 5278 6131 6188 6409 6902 10556 12262 12818 13804 24524 25636 42917 44863 79703 85834 89726 104227 159406 171668 177799 179452 208454 318812 355598 416908 557921 711196 729589 1115842 1244593 1354951 1459178 2231684 2311387 2489186 2709902 2918356 3022583 4622774 4978372 5419804 6045166 9245548 9484657 12090332 16179709 18969314 21158081 32359418 37938628 39293579 42316162 64718836 78587158 84632324 157174316 275055053 550110106 1100220212