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2213041311005 = 572329563916811
BaseRepresentation
bin100000001101000011100…
…010101000110100011101
321211120020122122202222012
4200031003202220310131
5242224302033423010
64412353535401005
7315613140524660
oct40150342506435
97746218582865
102213041311005
11783600142a68
122b8a9b083165
131308c568a705
147917c9b16d7
153c876314005
hex203438a8d1d

2213041311005 has 64 divisors (see below), whose sum is σ = 3276968140800. Its totient is φ = 1401150347520.

The previous prime is 2213041310971. The next prime is 2213041311007. The reversal of 2213041311005 is 5001131403122.

It is not a de Polignac number, because 2213041311005 - 212 = 2213041306909 is a prime.

It is a super-2 number, since 2×22130413110052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213041311007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 131634050 + ... + 131650860.

It is an arithmetic number, because the mean of its divisors is an integer number (51202627200).

Almost surely, 22213041311005 is an apocalyptic number.

It is an amenable number.

2213041311005 is a deficient number, since it is larger than the sum of its proper divisors (1063926829795).

2213041311005 is a wasteful number, since it uses less digits than its factorization.

2213041311005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22514.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 2213041311005 its reverse (5001131403122), we get a palindrome (7214172714127).

The spelling of 2213041311005 in words is "two trillion, two hundred thirteen billion, forty-one million, three hundred eleven thousand, five".

Divisors: 1 5 7 23 29 35 115 145 161 203 667 805 1015 3335 4669 5639 16811 23345 28195 39473 84055 117677 129697 163531 197365 386653 487519 588385 648485 817655 907879 1144717 1933265 2437595 2706571 3412633 3761213 4539395 5723585 11212937 13532855 17063165 18806065 26328491 56064685 78490559 94797229 131642455 392452795 473986145 663580603 2180336267 2749119641 3317903015 10901681335 13745598205 15262353869 19243837487 63229751743 76311769345 96219187435 316148758715 442608262201 2213041311005