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20344653131022 = 23211245472054317
BaseRepresentation
bin1001010000000110110111…
…10100101010110100001110
32200000221002212010121200100
410220003123310222310032
510131311322200143042
6111134112110511530
74166565320215563
oct450033364526416
980027085117610
1020344653131022
116534134343600
122346b1b2055a6
13b476531c575c
1450498793886a
152543277b724c
hex1280dbd2ad0e

20344653131022 has 72 divisors (see below), whose sum is σ = 48462339475368. Its totient is φ = 6163687553760.

The previous prime is 20344653131021. The next prime is 20344653131027. The reversal of 20344653131022 is 22013135644302.

20344653131022 is a `hidden beast` number, since 2 + 0 + 34 + 46 + 531 + 31 + 0 + 22 = 666.

It is a super-2 number, since 2×203446531310222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344653131021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8876208 + ... + 10930524.

It is an arithmetic number, because the mean of its divisors is an integer number (673088048269).

Almost surely, 220344653131022 is an apocalyptic number.

20344653131022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344653131022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24231169737684).

20344653131022 is an abundant number, since it is smaller than the sum of its proper divisors (28117686344346).

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

20344653131022 is a wasteful number, since it uses less digits than its factorization.

20344653131022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058894 (or 2058880 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 20344653131022 its reverse (22013135644302), we get a palindrome (42357788775324).

The spelling of 20344653131022 in words is "twenty trillion, three hundred forty-four billion, six hundred fifty-three million, one hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 4547 9094 13641 27282 40923 50017 81846 100034 150051 300102 450153 550187 900306 1100374 1650561 2054317 3301122 4108634 4951683 6162951 9903366 12325902 18488853 22597487 36977706 45194974 67792461 135584922 203377383 248572357 406754766 497144714 745717071 1491434142 2237151213 4474302426 9340979399 18681958798 28022938197 56045876394 84068814591 102750773389 168137629182 205501546778 308252320167 616504640334 924756960501 1130258507279 1849513921002 2260517014558 3390775521837 6781551043674 10172326565511 20344653131022