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20110212101100 = 223521113943841753
BaseRepresentation
bin1001001001010010001100…
…00011000111001111101100
32122012111222020222100001010
410210221012003013033230
510113441203244213400
6110434300501545220
74143625542306612
oct444510603071754
978174866870033
1020110212101100
116453769505910
1223095b1415210
13b2b500713c44
144d74a76936b2
1524d1a58c8450
hex124a460c73ec

20110212101100 has 144 divisors (see below), whose sum is σ = 63931799352960. Its totient is φ = 4840129420800.

The previous prime is 20110212101047. The next prime is 20110212101101. The reversal of 20110212101100 is 110121201102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20110212101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21462177 + ... + 22379576.

It is an arithmetic number, because the mean of its divisors is an integer number (443970828840).

Almost surely, 220110212101100 is an apocalyptic number.

20110212101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110212101100 is an abundant number, since it is smaller than the sum of its proper divisors (43821587251860).

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

20110212101100 is a wasteful number, since it uses less digits than its factorization.

20110212101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43841920 (or 43841913 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20110212101100 its reverse (110121201102), we get a palindrome (20220333302202).

The spelling of 20110212101100 in words is "twenty trillion, one hundred ten billion, two hundred twelve million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 139 150 165 220 275 278 300 330 417 550 556 660 695 825 834 1100 1390 1529 1650 1668 2085 2780 3058 3300 3475 4170 4587 6116 6950 7645 8340 9174 10425 13900 15290 18348 20850 22935 30580 38225 41700 45870 76450 91740 114675 152900 229350 458700 43841753 87683506 131525259 175367012 219208765 263050518 438417530 482259283 526101036 657626295 876835060 964518566 1096043825 1315252590 1446777849 1929037132 2192087650 2411296415 2630505180 2893555698 3288131475 4384175300 4822592830 5787111396 6094003667 6576262950 7233889245 9645185660 12056482075 12188007334 13152525900 14467778490 18282011001 24112964150 24376014668 28935556980 30470018335 36169446225 36564022002 48225928300 60940036670 67034040337 72338892450 73128044004 91410055005 121880073340 134068080674 144677784900 152350091675 182820110010 201102121011 268136161348 304700183350 335170201685 365640220020 402204242022 457050275025 609400366700 670340403370 804408484044 914100550050 1005510605055 1340680806740 1675851008425 1828201100100 2011021210110 3351702016850 4022042420220 5027553025275 6703404033700 10055106050550 20110212101100