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20002212100110 = 23537413541124121
BaseRepresentation
bin1001000110001001000001…
…01111110011100000001110
32121211012012112220211112110
410203010200233303200032
510110204012244200420
6110312520035044450
74133053314405222
oct443044057634016
977735175824473
1020002212100110
116411988301649
1222b0690440726
13b2127b690b06
144d217dd68782
1524a484192ee0
hex123120bf380e

20002212100110 has 128 divisors (see below), whose sum is σ = 50519925929088. Its totient is φ = 5061712896000.

The previous prime is 20002212100103. The next prime is 20002212100127. The reversal of 20002212100110 is 1100121220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161088850 + ... + 161212970.

It is an arithmetic number, because the mean of its divisors is an integer number (394686921321).

Almost surely, 220002212100110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002212100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25259962964544).

20002212100110 is an abundant number, since it is smaller than the sum of its proper divisors (30517713828978).

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

20002212100110 is a wasteful number, since it uses less digits than its factorization.

20002212100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127750.

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

Adding to 20002212100110 its reverse (1100121220002), we get a palindrome (21102333320112).

The spelling of 20002212100110 in words is "twenty trillion, two billion, two hundred twelve million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 41 74 82 111 123 185 205 222 246 370 410 555 615 1110 1230 1517 3034 3541 4551 7082 7585 9102 10623 15170 17705 21246 22755 35410 45510 53115 106230 124121 131017 145181 248242 262034 290362 372363 393051 435543 620605 655085 725905 744726 786102 871086 1241210 1310170 1451810 1861815 1965255 2177715 3723630 3930510 4355430 4592477 5088961 5371697 9184954 10177922 10743394 13777431 15266883 16115091 22962385 25444805 26858485 27554862 30533766 32230182 45924770 50889610 53716970 68887155 76334415 80575455 137774310 152668830 161150910 188291557 376583114 439512461 564874671 879024922 941457785 1129749342 1318537383 1882915570 2197562305 2637074766 2824373355 4395124610 5648746710 6592686915 13185373830 16261961057 18020010901 32523922114 36040021802 48785883171 54060032703 81309805285 90100054505 97571766342 108120065406 162619610570 180200109010 243929415855 270300163515 487858831710 540600327030 666740403337 1333480806674 2000221210011 3333702016685 4000442420022 6667404033370 10001106050055 20002212100110