Search a number
-
+
20112102200022 = 23719291495832709
BaseRepresentation
bin1001001001010101101101…
…01101010001001011010110
32122012200211222112022022220
410210222312231101023112
510114004041130400042
6110435212221203210
74144023433011240
oct444526655211326
978180758468286
1020112102200022
116454549409138
122309a3a400506
13b2b74218bc81
144d7606701090
1524d2667cc8ec
hex124ab6b512d6

20112102200022 has 128 divisors (see below), whose sum is σ = 50394614400000. Its totient is φ = 5220880261632.

The previous prime is 20112102199957. The next prime is 20112102200039. The reversal of 20112102200022 is 22000220121102.

It is a junction number, because it is equal to n+sod(n) for n = 20112102199974 and 20112102200010.

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, 531804 + ... + 6364512.

It is an arithmetic number, because the mean of its divisors is an integer number (393707925000).

Almost surely, 220112102200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112102200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25197307200000).

20112102200022 is an abundant number, since it is smaller than the sum of its proper divisors (30282512199978).

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

20112102200022 is a wasteful number, since it uses less digits than its factorization.

20112102200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832918.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20112102200022 its reverse (22000220121102), we get a palindrome (42112322321124).

The spelling of 20112102200022 in words is "twenty trillion, one hundred twelve billion, one hundred two million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 149 174 203 266 298 399 406 447 551 609 798 894 1043 1102 1218 1653 2086 2831 3129 3306 3857 4321 5662 6258 7714 8493 8642 11571 12963 16986 19817 23142 25926 30247 39634 59451 60494 82099 90741 118902 164198 181482 246297 492594 574693 1149386 1724079 3448158 5832709 11665418 17498127 34996254 40828963 81657926 110821471 122486889 169148561 221642942 244973778 332464413 338297122 507445683 664928826 775750297 869073641 1014891366 1184039927 1551500594 1738147282 2327250891 2368079854 2607220923 3213822659 3552119781 4654501782 5214441846 6083515487 6427645318 7104239562 9641467977 12167030974 16512399179 18250546461 19282935954 22496758613 25203135589 33024798358 36501092922 44993517226 49537197537 50406271178 67490275839 75609406767 99074395074 115586794253 134980551678 151218813534 176421949123 231173588506 346760382759 352843898246 478859576191 529265847369 693520765518 957719152382 1058531694738 1436578728573 2873157457146 3352017033337 6704034066674 10056051100011 20112102200022