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20330431243122 = 237111323991411013
BaseRepresentation
bin1001001111101100011000…
…01000011110001101110010
32122222120101201010212010110
410213312030020132031302
510131043210344234442
6111123400550242150
74165553016161550
oct447661410361562
978876351125113
1020330431243122
1165290a6472740
122344210356356
13b461c7937a80
14503dd8bc2bd0
15253c93e5469c
hex127d8c21e372

20330431243122 has 128 divisors (see below), whose sum is σ = 54616401100800. Its totient is φ = 4872393757440.

The previous prime is 20330431243103. The next prime is 20330431243127. The reversal of 20330431243122 is 22134213403302.

It is a happy number.

It is a super-2 number, since 2×203304312431222 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20330431243122.

It is not an unprimeable number, because it can be changed into a prime (20330431243127) 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, 13702888 + ... + 15113900.

It is an arithmetic number, because the mean of its divisors is an integer number (426690633600).

Almost surely, 220330431243122 is an apocalyptic number.

20330431243122 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 20330431243122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27308200550400).

20330431243122 is an abundant number, since it is smaller than the sum of its proper divisors (34285969857678).

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

20330431243122 is a wasteful number, since it uses less digits than its factorization.

20330431243122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413448.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 20330431243122 its reverse (22134213403302), we get a palindrome (42464644646424).

The spelling of 20330431243122 in words is "twenty trillion, three hundred thirty billion, four hundred thirty-one million, two hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 2399 3003 4798 6006 7197 14394 16793 26389 31187 33586 50379 52778 62374 79167 93561 100758 158334 184723 187122 218309 343057 369446 436618 554169 654927 686114 1029171 1108338 1309854 1411013 2058342 2401399 2822026 4233039 4802798 7204197 8466078 9877091 14408394 15521143 18343169 19754182 29631273 31042286 36686338 46563429 55029507 59262546 93126858 108648001 110059014 128402183 201774859 217296002 256804366 325944003 385206549 403549718 605324577 651888006 770413098 1210649154 1412424013 2824848026 3385020187 4237272039 6770040374 8474544078 10155060561 20310121122 23695141309 37235222057 44005262431 47390282618 71085423927 74470444114 88010524862 111705666171 132015787293 142170847854 223411332342 260646554399 264031574586 308036837017 484057886741 521293108798 616073674034 781939663197 924110511051 968115773482 1452173660223 1563879326394 1848221022102 2904347320446 3388405207187 6776810414374 10165215621561 20330431243122