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212200010012100 = 2235211169337981709
BaseRepresentation
bin110000001111111010101010…
…001101111101010111000100
31000211100010022112211111212210
4300033322222031331113010
5210303141110030341400
62031151201104143420
762460642031354035
oct6017725215752704
91024303275744783
10212200010012100
1161682578677610
121b97194a007b70
1391534b5094b46
143a5876cb6ca8c
15197ec21260950
hexc0feaa37d5c4

212200010012100 has 144 divisors (see below), whose sum is σ = 670176030363840. Its totient is φ = 51412039948800.

The previous prime is 212200010012069. The next prime is 212200010012101. The reversal of 212200010012100 is 1210010002212.

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 (212200010012101) 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, 13403955 + ... + 24577754.

It is an arithmetic number, because the mean of its divisors is an integer number (4654000210860).

Almost surely, 2212200010012100 is an apocalyptic number.

212200010012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200010012100 is an abundant number, since it is smaller than the sum of its proper divisors (457976020351740).

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

212200010012100 is a wasteful number, since it uses less digits than its factorization.

212200010012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37983430 (or 37983423 counting only the distinct ones).

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

Adding to 212200010012100 its reverse (1210010002212), we get a palindrome (213410020014312).

The spelling of 212200010012100 in words is "two hundred twelve trillion, two hundred billion, ten million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1693 3300 3386 5079 6772 8465 10158 16930 18623 20316 25395 33860 37246 42325 50790 55869 74492 84650 93115 101580 111738 126975 169300 186230 223476 253950 279345 372460 465575 507900 558690 931150 1117380 1396725 1862300 2793450 5586900 37981709 75963418 113945127 151926836 189908545 227890254 379817090 417798799 455780508 569725635 759634180 835597598 949542725 1139451270 1253396397 1671195196 1899085450 2088993995 2278902540 2506792794 2848628175 3798170900 4177987990 5013585588 5697256350 6266981985 8355975980 10444969975 11394512700 12533963970 20889939950 25067927940 31334909925 41779879900 62669819850 64303033337 125339639700 128606066674 192909100011 257212133348 321515166685 385818200022 643030333370 707333366707 771636400044 964545500055 1286060666740 1414666733414 1607575833425 1929091000110 2122000100121 2829333466828 3215151666850 3536666833535 3858182000220 4244000200242 4822727500275 6430303333700 7073333667070 8488000400484 9645455000550 10610000500605 14146667334140 17683334167675 19290910001100 21220001001210 35366668335350 42440002002420 53050002503025 70733336670700 106100005006050 212200010012100