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2213015261343 = 323537122737547
BaseRepresentation
bin100000001101000001111…
…111010001000010011111
321211120011211122022112220
4200031001333101002133
5242224223401330333
64412351205200423
7315612403231305
oct40150177210237
97746154568486
102213015261343
11783597470517
122b8a92400113
131308c0169803
1479179350275
153c873dba8b3
hex20341fd109f

2213015261343 has 64 divisors (see below), whose sum is σ = 3195355226112. Its totient is φ = 1359021023360.

The previous prime is 2213015261339. The next prime is 2213015261381. The reversal of 2213015261343 is 3431625103122.

It is a cyclic number.

It is not a de Polignac number, because 2213015261343 - 22 = 2213015261339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213015261383) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 58921096 + ... + 58958642.

It is an arithmetic number, because the mean of its divisors is an integer number (49927425408).

Almost surely, 22213015261343 is an apocalyptic number.

2213015261343 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2213015261343 is a deficient number, since it is larger than the sum of its proper divisors (982339964769).

2213015261343 is a wasteful number, since it uses less digits than its factorization.

2213015261343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37924.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 2213015261343 in words is "two trillion, two hundred thirteen billion, fifteen million, two hundred sixty-one thousand, three hundred forty-three".

Divisors: 1 3 23 53 69 71 159 213 227 681 1219 1633 3657 3763 4899 5221 11289 12031 15663 16117 36093 37547 48351 86549 112641 259647 276713 370691 830139 854201 863581 1112073 1989991 2562603 2590743 2665837 5969973 7997511 8523169 19646623 25569507 45769793 58939869 61314251 137309379 141289361 183942753 196032887 423868083 451727957 588098661 605144999 1355183871 1815434997 3249655303 9748965909 10389743011 13918334977 31169229033 32072684947 41755004931 96218054841 737671753781 2213015261343