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1045111122 = 2321122331673
BaseRepresentation
bin111110010010110…
…010000101010010
32200211120010221100
4332102302011102
54120022023442
6251412205230
734620204126
oct7622620522
92624503840
101045111122
11496a35500
12252009816
131386a3263
149cb31586
1561b4284c
hex3e4b2152

1045111122 has 144 divisors (see below), whose sum is σ = 2684957184. Its totient is φ = 292723200.

The previous prime is 1045111121. The next prime is 1045111141. The reversal of 1045111122 is 2211115401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1045111095 and 1045111104.

It is not an unprimeable number, because it can be changed into a prime (1045111121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1552578 + ... + 1553250.

It is an arithmetic number, because the mean of its divisors is an integer number (18645536).

Almost surely, 21045111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342478592).

1045111122 is an abundant number, since it is smaller than the sum of its proper divisors (1639846062).

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

1045111122 is a wasteful number, since it uses less digits than its factorization.

1045111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1045111122 is about 32328.1784516233. The cubic root of 1045111122 is about 1014.8164298724.

Adding to 1045111122 its reverse (2211115401), we get a palindrome (3256226523).

The spelling of 1045111122 in words is "one billion, forty-five million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 31 33 46 62 66 69 93 99 121 138 186 198 207 242 253 279 341 363 414 506 558 673 682 713 726 759 1023 1089 1346 1426 1518 2019 2046 2139 2178 2277 2783 3069 3751 4038 4278 4554 5566 6057 6138 6417 7403 7502 7843 8349 11253 12114 12834 14806 15479 15686 16698 20863 22209 22506 23529 25047 30958 33759 41726 44418 46437 47058 50094 62589 66627 67518 70587 81433 86273 92874 125178 133254 139311 141174 162866 170269 172546 187767 229493 244299 258819 278622 340538 375534 458986 479849 488598 510807 517638 688479 732897 776457 959698 1021614 1376958 1439547 1465794 1532421 1552914 1872959 2065437 2524423 2879094 3064842 3745918 4130874 4318641 5048846 5278339 5618877 7573269 8637282 10556678 11237754 15146538 15835017 16856631 22719807 31670034 33713262 45439614 47505051 58061729 95010102 116123458 174185187 348370374 522555561 1045111122