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12211111022010 = 23519531016939749
BaseRepresentation
bin1011000110110001111011…
…1011110100110110111010
31121020101000022201012002120
42301230132323310312322
53100031323410201020
641545412411542110
72400136500051465
oct261543673646672
947211008635076
1012211111022010
11398878091331a
12145271845a936
136a766c9389a4
143030415d02dc
1516298ba64740
hexb1b1eef4dba

12211111022010 has 128 divisors (see below), whose sum is σ = 31435063200000. Its totient is φ = 3026332588032.

The previous prime is 12211111021939. The next prime is 12211111022081. The reversal of 12211111022010 is 1022011111221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12211111021939) and next prime (12211111022081).

It is a super-2 number, since 2×122111110220102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 307185616 + ... + 307225364.

It is an arithmetic number, because the mean of its divisors is an integer number (245586431250).

Almost surely, 212211111022010 is an apocalyptic number.

12211111022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211111022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717531600000).

12211111022010 is an abundant number, since it is smaller than the sum of its proper divisors (19223952177990).

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

12211111022010 is a wasteful number, since it uses less digits than its factorization.

12211111022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50000.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12211111022010 its reverse (1022011111221), we get a palindrome (13233122133231).

The spelling of 12211111022010 in words is "twelve trillion, two hundred eleven billion, one hundred eleven million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 106 114 159 190 265 285 318 530 570 795 1007 1590 2014 3021 5035 6042 10070 10169 15105 20338 30210 30507 39749 50845 61014 79498 101690 119247 152535 193211 198745 238494 305070 386422 397490 538957 579633 596235 755231 966055 1077914 1159266 1192470 1510462 1616871 1932110 2106697 2265693 2694785 2898165 3233742 3776155 4213394 4531386 5389570 5796330 6320091 7552310 8084355 10240183 10533485 11328465 12640182 16168710 20480366 21066970 22656930 30720549 31600455 40027243 51200915 61441098 63200910 80054486 102401830 120081729 153602745 200136215 240163458 307205490 400272430 404207581 600408645 808415162 1200817290 1212622743 2021037905 2425245486 4042075810 6063113715 7679944039 12126227430 15359888078 21423001793 23039832117 38399720195 42846003586 46079664234 64269005379 76799440390 107115008965 115199160585 128538010758 214230017930 230398321170 321345026895 407037034067 642690053790 814074068134 1221111102201 2035185170335 2442222204402 4070370340670 6105555511005 12211111022010