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212211001102100 = 2252711132119990021
BaseRepresentation
bin110000010000000100111001…
…010101101000111100010100
31000211101011200112111201220012
4300100010321111220330110
5210303331112240231400
62031200215453255352
762461511302160150
oct6020047125507424
91024334615451805
10212211001102100
11616871a887a170
121b973ab6a94558
1391545471bcab0
143a590d27a0060
15198016613ed35
hexc10139568f14

212211001102100 has 144 divisors (see below), whose sum is σ = 618290849936256. Its totient is φ = 61055712576000.

The previous prime is 212211001102097. The next prime is 212211001102123. The reversal of 212211001102100 is 1201100112212.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 1059894911 + ... + 1060095110.

Almost surely, 2212211001102100 is an apocalyptic number.

212211001102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211001102100 is an abundant number, since it is smaller than the sum of its proper divisors (406079848834156).

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

212211001102100 is a wasteful number, since it uses less digits than its factorization.

212211001102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119990066 (or 2119990059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212211001102100 its reverse (1201100112212), we get a palindrome (213412101214312).

The spelling of 212211001102100 in words is "two hundred twelve trillion, two hundred eleven billion, one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 2119990021 4239980042 8479960084 10599950105 14839930147 21199900210 23319890231 27559870273 29679860294 42399800420 46639780462 52999750525 55119740546 59359720588 74199650735 93279560924 105999501050 110239481092 116599451155 137799351365 148399301470 163239231617 192919091911 211999002100 233198902310 275598702730 296798602940 303158573003 326478463234 370998253675 385838183822 466397804620 551197405460 582997255775 606317146006 652956926468 688996756825 741996507350 771676367644 816196158085 964595459555 1165994511550 1212634292012 1377993513650 1483993014700 1515792865015 1632392316170 1929190919110 2122110011021 2331989023100 2755987027300 3031585730030 3264784632340 3858381838220 4080980790425 4244220022042 4822977297775 6063171460060 7578964325075 8161961580850 8488440044084 9645954595550 10610550055105 15157928650150 16323923161700 19291909191100 21221100110210 30315857300300 42442200220420 53052750275525 106105500551050 212211001102100