Search a number
-
+
20002201110112 = 2513198837286369
BaseRepresentation
bin1001000110001001000000…
…00101111000011001100000
32121211012011210020111002111
410203010200011320121200
510110204001441010422
6110312515003325104
74133053122113344
oct443044005703140
977735153214074
1020002201110112
116411982085701
1222b0688820794
13b21279313760
144d217c707624
1524a483221a77
hex123120178660

20002201110112 has 96 divisors (see below), whose sum is σ = 44645747378400. Its totient is φ = 8744881471488.

The previous prime is 20002201110107. The next prime is 20002201110121. The reversal of 20002201110112 is 21101110220002.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 20002201110092 and 20002201110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69704464 + ... + 69990832.

It is an arithmetic number, because the mean of its divisors is an integer number (465059868525).

Almost surely, 220002201110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002201110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22322873689200).

20002201110112 is an abundant number, since it is smaller than the sum of its proper divisors (24643546268288).

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

20002201110112 is a wasteful number, since it uses less digits than its factorization.

20002201110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295248 (or 295240 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20002201110112 its reverse (21101110220002), we get a palindrome (41103311330114).

The spelling of 20002201110112 in words is "twenty trillion, two billion, two hundred one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 8837 17674 35348 70696 114881 141392 167903 229762 282784 286369 335806 459524 572738 671612 919048 1145476 1343224 1838096 2182739 2290952 2686448 3676192 3722797 4365478 4581904 5372896 5441011 7445594 8730956 9163808 10882022 14891188 17461912 21764044 29782376 34923824 43528088 59564752 69847648 70733143 87056176 119129504 141466286 174112352 282932572 565865144 1131730288 2263460576 2530642853 5061285706 10122571412 20245142824 32898357089 40490285648 48082214207 65796714178 80980571296 96164428414 131593428356 192328856828 263186856712 384657713656 526373713424 625068784691 769315427312 1052747426848 1250137569382 1538630854624 2500275138764 5000550277528 10001100555056 20002201110112