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2121211313013 = 3134114924136943
BaseRepresentation
bin11110110111100010000…
…010111111101101110101
321111210012212022112112110
4132313202002333231311
5234223220044004023
64302245424041233
7306152410444212
oct36674202775565
97453185275473
102121211313013
11748667539341
122a3131463219
1312504c6a42b0
147494aa2cb09
153a29e4a5a93
hex1ede20bfb75

2121211313013 has 64 divisors (see below), whose sum is σ = 3154190054400. Its totient is φ = 1259692646400.

The previous prime is 2121211312999. The next prime is 2121211313047. The reversal of 2121211313013 is 3103131121212.

It is not a de Polignac number, because 2121211313013 - 221 = 2121209215861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121211317013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57400020 + ... + 57436962.

It is an arithmetic number, because the mean of its divisors is an integer number (49284219600).

Almost surely, 22121211313013 is an apocalyptic number.

It is an amenable number.

2121211313013 is a deficient number, since it is larger than the sum of its proper divisors (1032978741387).

2121211313013 is a wasteful number, since it uses less digits than its factorization.

2121211313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37390.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 2121211313013 its reverse (3103131121212), we get a palindrome (5224342434225).

The spelling of 2121211313013 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 13 39 41 123 149 241 447 533 723 1599 1937 3133 5811 6109 9399 9881 18327 29643 35909 36943 79417 107727 110829 128453 238251 385359 466817 480259 1400451 1440777 1472269 1514663 4416807 4543989 5504507 8903263 16513521 19139497 19690619 26709789 57418491 59071857 71558591 115742419 214675773 225684787 347227257 365033783 677054361 1095101349 1326586187 2933902231 3979758561 4745439179 8801706693 14236317537 17245620431 51736861293 54390033667 163170101001 707070437671 2121211313013