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2105214831180 = 22325173718594019
BaseRepresentation
bin11110101000101000100…
…101010000101001001100
321110020221001010001202100
4132220220211100221030
5233442434444044210
64251042231555100
7305045120546016
oct36505045205114
97406831101670
102105214831180
117418a898681a
122a000822ba90
131236a0580526
1473c703351b6
1539b64e575c0
hex1ea28950a4c

2105214831180 has 144 divisors (see below), whose sum is σ = 6944197085280. Its totient is φ = 514087409664.

The previous prime is 2105214831179. The next prime is 2105214831281. The reversal of 2105214831180 is 811384125012.

It is a happy number.

2105214831180 is a `hidden beast` number, since 2 + 1 + 0 + 521 + 48 + 3 + 11 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9183790 + ... + 9410229.

It is an arithmetic number, because the mean of its divisors is an integer number (48223590870).

Almost surely, 22105214831180 is an apocalyptic number.

2105214831180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105214831180 is an abundant number, since it is smaller than the sum of its proper divisors (4838982254100).

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

2105214831180 is a wasteful number, since it uses less digits than its factorization.

2105214831180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18594088 (or 18594083 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 2105214831180 its reverse (811384125012), we get a palindrome (2916598956192).

The spelling of 2105214831180 in words is "two trillion, one hundred five billion, two hundred fourteen million, eight hundred thirty-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 555 612 629 666 740 765 1020 1110 1258 1332 1530 1665 1887 2220 2516 3060 3145 3330 3774 5661 6290 6660 7548 9435 11322 12580 18870 22644 28305 37740 56610 113220 18594019 37188038 55782057 74376076 92970095 111564114 167346171 185940190 223128228 278910285 316098323 334692342 371880380 557820570 632196646 669384684 687978703 836730855 948294969 1115641140 1264393292 1375957406 1580491615 1673461710 1896589938 2063936109 2751914812 2844884907 3160983230 3346923420 3439893515 3793179876 4127872218 4741474845 5689769814 6191808327 6321966460 6879787030 8255744436 9482949690 10319680545 11379539628 11695637951 12383616654 13759574060 14224424535 18965899380 20639361090 23391275902 24767233308 28448849070 30959041635 35086913853 41278722180 46782551804 56897698140 58478189755 61918083270 70173827706 105260741559 116956379510 123836166540 140347655412 175434569265 210521483118 233912759020 350869138530 421042966236 526303707795 701738277060 1052607415590 2105214831180