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10020200211110 = 25171913498091093
BaseRepresentation
bin1001000111010000001001…
…1110010110001010100110
31022110220212222111022002102
42101310002132112022212
52303132332223223420
633151114425412102
72052635621325125
oct221640236261246
938426788438072
1010020200211110
1132135a787a671
121159b9493a032
13578b9316256b
14268da1c4dabc
151259ad55aa75
hex91d027962a6

10020200211110 has 128 divisors (see below), whose sum is σ = 19293748992000. Its totient is φ = 3733763604480.

The previous prime is 10020200211083. The next prime is 10020200211113. The reversal of 10020200211110 is 1111200202001.

It is a junction number, because it is equal to n+sod(n) for n = 10020200211091 and 10020200211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020200211113) by changing a digit.

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, 9167611724 + ... + 9167612816.

It is an arithmetic number, because the mean of its divisors is an integer number (150732414000).

Almost surely, 210020200211110 is an apocalyptic number.

10020200211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10020200211110 is a deficient number, since it is larger than the sum of its proper divisors (9273548780890).

10020200211110 is a wasteful number, since it uses less digits than its factorization.

10020200211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10020200211110 its reverse (1111200202001), we get a palindrome (11131400413111).

The spelling of 10020200211110 in words is "ten trillion, twenty billion, two hundred million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 10 17 34 85 170 191 349 382 698 809 955 1093 1618 1745 1910 2186 3247 3490 4045 5465 5933 6494 8090 10930 11866 13753 16235 18581 27506 29665 32470 37162 59330 66659 68765 92905 133318 137530 154519 185810 208763 282341 309038 333295 381457 417526 564682 666590 762914 772595 884237 1043815 1133203 1411705 1545190 1768474 1907285 2087630 2266406 2626823 2823410 3548971 3814570 4421185 4799797 5253646 5666015 6484769 7097942 8842370 9599594 11332030 12969538 13134115 15032029 17744855 23998985 26268230 30064058 32423845 35489710 47997970 53927131 64847690 72858287 75160145 107854262 145716574 150320290 168889267 269635655 308598713 337778534 364291435 539271310 617197426 728582870 844446335 916761227 1238590879 1542993565 1688892670 1833522454 2477181758 2871117539 3085987130 4583806135 5246178121 5742235078 6192954395 9167612270 10492356242 12385908790 14355587695 26230890605 28711175390 52461781210 58942354183 117884708366 294711770915 589423541830 1002020021111 2004040042222 5010100105555 10020200211110