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2011020110022 = 2371117935336883
BaseRepresentation
bin11101010000111010001…
…000111010100011000110
321010020210110010102222010
4131100322020322203012
5230422032122010042
64135503324115050
7265201644615510
oct35207210724306
97106713112863
102011020110022
11705961474630
122858ba695a86
1311783b6b0231
146d4962b6bb0
15374a06e059c
hex1d43a23a8c6

2011020110022 has 128 divisors (see below), whose sum is σ = 5044665692160. Its totient is φ = 519202304640.

The previous prime is 2011020109951. The next prime is 2011020110039. The reversal of 2011020110022 is 2200110201102.

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, 292168593 + ... + 292175475.

It is an arithmetic number, because the mean of its divisors is an integer number (39411450720).

Almost surely, 22011020110022 is an apocalyptic number.

2011020110022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011020110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522332846080).

2011020110022 is an abundant number, since it is smaller than the sum of its proper divisors (3033645582138).

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

2011020110022 is a wasteful number, since it uses less digits than its factorization.

2011020110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618.

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

Adding to 2011020110022 its reverse (2200110201102), we get a palindrome (4211130311124).

The spelling of 2011020110022 in words is "two trillion, eleven billion, twenty million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 179 231 358 462 537 1074 1253 1969 2506 3533 3759 3938 5907 6883 7066 7518 10599 11814 13766 13783 20649 21198 24731 27566 38863 41298 41349 48181 49462 74193 75713 77726 82698 96362 116589 144543 148386 151426 227139 233178 272041 289086 454278 529991 544082 632407 816123 1059982 1232057 1264814 1589973 1632246 1897221 2464114 3179946 3696171 3794442 4426849 6956477 7392342 8624399 8853698 13280547 13552627 13912954 17248798 20869431 24317639 25873197 26561094 27105254 40657881 41738862 48635278 48695339 51746394 72952917 81315762 94868389 97390678 145905834 146086017 170223473 189736778 267494029 284605167 292172034 340446946 510670419 534988058 569210334 802482087 1021340838 1604964174 1872458203 3744916406 4352857381 5617374609 8705714762 11234749218 13058572143 26117144286 30470001667 47881431191 60940003334 91410005001 95762862382 143644293573 182820010002 287288587146 335170018337 670340036674 1005510055011 2011020110022