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2122130013102 = 2321142019255071
BaseRepresentation
bin11110111000011000110…
…011100011101110101110
321111212120220000100010200
4132320120303203232232
5234232110240404402
64302520523014330
7306214234326141
oct36703063435656
97455526010120
102122130013102
11748a99083310
122a334906a3a6
13125167b17508
14749d6a56058
153a304e7821c
hex1ee18ce3bae

2122130013102 has 48 divisors (see below), whose sum is σ = 5016082705920. Its totient is φ = 643051875600.

The previous prime is 2122130013083. The next prime is 2122130013127. The reversal of 2122130013102 is 2013100312212.

2122130013102 is a `hidden beast` number, since 212 + 21 + 300 + 131 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8192227 + ... + 8447297.

It is an arithmetic number, because the mean of its divisors is an integer number (104501723040).

Almost surely, 22122130013102 is an apocalyptic number.

2122130013102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2122130013102 is an abundant number, since it is smaller than the sum of its proper divisors (2893952692818).

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

2122130013102 is a wasteful number, since it uses less digits than its factorization.

2122130013102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297109 (or 297106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2122130013102 its reverse (2013100312212), we get a palindrome (4135230325314).

The spelling of 2122130013102 in words is "two trillion, one hundred twenty-two billion, one hundred thirty million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 42019 84038 126057 252114 255071 378171 462209 510142 756342 765213 924418 1386627 1530426 2295639 2773254 2805781 4159881 4591278 5611562 8319762 8417343 16834686 25252029 50504058 10717828349 21435656698 32153485047 64306970094 96460455141 117896111839 192920910282 235792223678 353688335517 707376671034 1061065006551 2122130013102