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1110002002122 = 2313234911260143
BaseRepresentation
bin10000001001110001010…
…001100110100011001010
310221010002221121010020210
4100021301101212203022
5121141241003031442
62205532231101550
7143123612225406
oct20116121464312
93833087533223
101110002002122
11398827213252
1215b1615118b6
1380899016b20
143ba1d9cc106
151dd18b0719c
hex102714668ca

1110002002122 has 64 divisors (see below), whose sum is σ = 2499803099136. Its totient is φ = 326023938240.

The previous prime is 1110002002121. The next prime is 1110002002129. The reversal of 1110002002122 is 2212002000111.

It is a junction number, because it is equal to n+sod(n) for n = 1110002002098 and 1110002002107.

It is not an unprimeable number, because it can be changed into a prime (1110002002121) 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, 250783 + ... + 1510925.

It is an arithmetic number, because the mean of its divisors is an integer number (39059423424).

Almost surely, 21110002002122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110002002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249901549568).

1110002002122 is an abundant number, since it is smaller than the sum of its proper divisors (1389801097014).

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

1110002002122 is a wasteful number, since it uses less digits than its factorization.

1110002002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260675.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1110002002122 its reverse (2212002000111), we get a palindrome (3322004002233).

The spelling of 1110002002122 in words is "one trillion, one hundred ten billion, two million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 491 598 897 982 1473 1794 2946 6383 11293 12766 19149 22586 33879 38298 67758 146809 293618 440427 880854 1260143 2520286 3780429 7560858 16381859 28983289 32763718 49145577 57966578 86949867 98291154 173899734 376782757 618730213 753565514 1130348271 1237460426 1856190639 2260696542 3712381278 8043492769 14230794899 16086985538 24130478307 28461589798 42692384697 48260956614 85384769394 185000333687 370000667374 555001001061 1110002002122