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220044232244031 = 313127619388118493
BaseRepresentation
bin110010000010000100001010…
…010011000011101100111111
31001212010000121212212101002120
4302002010022103003230333
5212320201041423302111
62055554531430054023
764230446130244206
oct6202041223035477
91055100555771076
10220044232244031
1164127264618a68
122081a0681aa313
1395a210b3b0380
143c4a2aa57a23d
151a68cc725a406
hexc8210a4c3b3f

220044232244031 has 64 divisors (see below), whose sum is σ = 319062725345280. Its totient is φ = 134086752414720.

The previous prime is 220044232244009. The next prime is 220044232244143. The reversal of 220044232244031 is 130442232440022.

It is a happy number.

It is not a de Polignac number, because 220044232244031 - 26 = 220044232243967 is a prime.

It is a super-2 number, since 2×2200442322440312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220044232243983 and 220044232244001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220044232244731) 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, 11898775821 + ... + 11898794313.

It is an arithmetic number, because the mean of its divisors is an integer number (4985355083520).

Almost surely, 2220044232244031 is an apocalyptic number.

220044232244031 is a deficient number, since it is larger than the sum of its proper divisors (99018493101249).

220044232244031 is a wasteful number, since it uses less digits than its factorization.

220044232244031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23136.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 220044232244031 its reverse (130442232440022), we get a palindrome (350486464684053).

The spelling of 220044232244031 in words is "two hundred twenty trillion, forty-four billion, two hundred thirty-two million, two hundred forty-four thousand, thirty-one".

Divisors: 1 3 13 39 127 381 619 1651 1857 3881 4953 8047 11643 18493 24141 50453 55479 78613 151359 235839 240409 492887 721227 1021969 1478661 2348611 2402339 3065907 6407531 7045833 7207017 11447167 19222593 30531943 31230407 34341501 71771333 91595829 93691221 148813171 215313999 305097053 446439513 915291159 933027329 1453790209 2799081987 3966261689 4361370627 9114959291 11898785067 18899272717 27344877873 44426455127 56697818151 118494470783 133279365381 355483412349 577543916651 1732631749953 5642159801129 16926479403387 73348077414677 220044232244031