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2110131221022 = 2331131331735803
BaseRepresentation
bin11110101101001101100…
…111110011001000011110
321110201121200011112202000
4132231031213303020132
5234033022043033042
64253214135143130
7305311006303056
oct36551547631036
97421550145660
102110131221022
117439a1077220
122a0b5a814aa6
13123ca4cb6746
14741b9270566
1539d5189574c
hex1eb4d9f321e

2110131221022 has 128 divisors (see below), whose sum is σ = 5148145451520. Its totient is φ = 635362341120.

The previous prime is 2110131220969. The next prime is 2110131221059. The reversal of 2110131221022 is 2201221310112.

2110131221022 is a `hidden beast` number, since 21 + 101 + 312 + 210 + 22 = 666.

It is a super-2 number, since 2×21101312210222 (a number of 25 digits) contains 22 as substring.

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 = 2110131220986 and 2110131221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58919373 + ... + 58955175.

It is an arithmetic number, because the mean of its divisors is an integer number (40219886340).

Almost surely, 22110131221022 is an apocalyptic number.

2110131221022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110131221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574072725760).

2110131221022 is an abundant number, since it is smaller than the sum of its proper divisors (3038014230498).

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

2110131221022 is a wasteful number, since it uses less digits than its factorization.

2110131221022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36455 (or 36449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2110131221022 its reverse (2201221310112), we get a palindrome (4311352531134).

The spelling of 2110131221022 in words is "two trillion, one hundred ten billion, one hundred thirty-one million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 313 317 594 626 634 939 951 1878 1902 2817 2853 3443 3487 5634 5706 6886 6974 8451 8559 10329 10461 16902 17118 20658 20922 30987 31383 35803 61974 62766 71606 92961 94149 99221 107409 185922 188298 198442 214818 297663 322227 393833 595326 644454 787666 892989 966681 1091431 1181499 1785978 1933362 2182862 2362998 2678967 3274293 3544497 5357934 6548586 7088994 9822879 10633491 11206339 11349551 19645758 21266982 22412678 22699102 29468637 33619017 34048653 58937274 67238034 68097306 100857051 102145959 123269729 124845061 201714102 204291918 246539458 249690122 302571153 306437877 369809187 374535183 605142306 612875754 739618374 749070366 1109427561 1123605549 2218855122 2247211098 3328282683 3370816647 3552409463 6656565366 6741633294 7104818926 10657228389 21314456778 31971685167 39076504093 63943370334 78153008186 95915055501 117229512279 191830111002 234459024558 351688536837 703377073674 1055065610511 2110131221022