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1111411223032 = 23111910715739569
BaseRepresentation
bin10000001011000101010…
…001010110100111111000
310221020202011021221220211
4100023011101112213320
5121202132233114112
62210324131400504
7143203543344235
oct20130521264770
93836664257824
101111411223032
1139938a72a830
1215b495453134
1380a61c73656
143bb14c2078c
151dd9c6be0a7
hex102c54569f8

1111411223032 has 128 divisors (see below), whose sum is σ = 2430800928000. Its totient is φ = 471093442560.

The previous prime is 1111411223011. The next prime is 1111411223033. The reversal of 1111411223032 is 2303221141111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1111411222994 and 1111411223012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111411223033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28068144 + ... + 28107712.

It is an arithmetic number, because the mean of its divisors is an integer number (18990632250).

Almost surely, 21111411223032 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 1111411223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215400464000).

1111411223032 is an abundant number, since it is smaller than the sum of its proper divisors (1319389704968).

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

1111411223032 is a wasteful number, since it uses less digits than its factorization.

1111411223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39869 (or 39865 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1111411223032 its reverse (2303221141111), we get a palindrome (3414632364143).

The spelling of 1111411223032 in words is "one trillion, one hundred eleven billion, four hundred eleven million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 107 152 157 209 214 314 418 428 628 836 856 1177 1256 1672 1727 2033 2354 2983 3454 4066 4708 5966 6908 8132 9416 11932 13816 16264 16799 22363 23864 32813 33598 39569 44726 65626 67196 79138 89452 131252 134392 158276 178904 184789 262504 316552 319181 369578 435259 638362 739156 751811 870518 1276724 1478312 1503622 1741036 2553448 3007244 3482072 3510991 4233883 6014488 6212333 7021982 8269921 8467766 12424666 14043964 16539842 16935532 24849332 28087928 33079684 33871064 46572713 49698664 66159368 68335663 80443777 93145426 118034327 136671326 160887554 186290852 236068654 273342652 321775108 372581704 472137308 546685304 643550216 664719631 884881547 944274616 1298377597 1329439262 1769763094 2596755194 2658878524 3539526188 5193510388 5317757048 7079052376 7311915941 10387020776 12629672989 14623831882 25259345978 29247663764 50518691956 58495327528 101037383912 138926402879 277852805758 555705611516 1111411223032