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12000101022 = 23371312291987
BaseRepresentation
bin10110010110100001…
…10000001010011110
31010222022022021221000
423023100300022132
5144034011213042
65302431451130
7603242114160
oct131320601236
933868267830
1012000101022
1150a8820568
1223aa986aa6
13119319b7c0
1481ba46930
154a379074c
hex2cb43029e

12000101022 has 128 divisors (see below), whose sum is σ = 32864025600. Its totient is φ = 3160695168.

The previous prime is 12000101021. The next prime is 12000101089. The reversal of 12000101022 is 22010100021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000100995 and 12000101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000101021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6038313 + ... + 6040299.

It is an arithmetic number, because the mean of its divisors is an integer number (256750200).

Almost surely, 212000101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432012800).

12000101022 is an abundant number, since it is smaller than the sum of its proper divisors (20863924578).

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

12000101022 is a wasteful number, since it uses less digits than its factorization.

12000101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000101022 its reverse (22010100021), we get a palindrome (34010201043).

The spelling of 12000101022 in words is "twelve billion, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1229 1638 1987 2457 2458 3687 3974 4914 5961 7374 8603 11061 11922 13909 15977 17206 17883 22122 25809 25831 27818 31954 33183 35766 41727 47931 51618 51662 53649 66366 77427 77493 83454 95862 107298 111839 125181 143793 154854 154986 180817 223678 232281 232479 250362 287586 335517 361634 375543 431379 464562 464958 542451 671034 697437 751086 862758 1006551 1084902 1394874 1627353 2013102 2442023 3019653 3254706 4882059 4884046 6039306 7326069 9764118 14652138 17094161 21978207 31746299 34188322 43956414 51282483 63492598 65934621 95238897 102564966 131869242 153847449 190477794 222224093 285716691 307694898 444448186 461542347 571433382 666672279 857150073 923084694 1333344558 1714300146 2000016837 4000033674 6000050511 12000101022