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351342424243122 = 2313172039257950387
BaseRepresentation
bin100111111100010110100100…
…0011001000011101110110010
31201002000000012122011011002220
41033320231020121003232302
5332022343241101234442
63243124252000021510
7134001436542050604
oct11770551031035662
91632000178134086
10351342424243122
11a1a48538009554
12334a4623001896
13121075aa2cac60
1462a90c7b27174
152a94351b3eeec
hex13f8b48643bb2

351342424243122 has 128 divisors (see below), whose sum is σ = 801971215718400. Its totient is φ = 101654872359936.

The previous prime is 351342424243121. The next prime is 351342424243123. The reversal of 351342424243122 is 221342424243153.

It is an interprime number because it is at equal distance from previous prime (351342424243121) and next prime (351342424243123).

It is not an unprimeable number, because it can be changed into a prime (351342424243121) 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, 6972853213 + ... + 6972903599.

It is an arithmetic number, because the mean of its divisors is an integer number (6265400122800).

Almost surely, 2351342424243122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351342424243122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400985607859200).

351342424243122 is an abundant number, since it is smaller than the sum of its proper divisors (450628791475278).

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

351342424243122 is a wasteful number, since it uses less digits than its factorization.

351342424243122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55040.

The product of its digits is 1105920, while the sum is 42.

Adding to 351342424243122 its reverse (221342424243153), we get a palindrome (572684848486275).

The spelling of 351342424243122 in words is "three hundred fifty-one trillion, three hundred forty-two billion, four hundred twenty-four million, two hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 2039 2579 4078 5158 6117 7737 12234 15474 26507 33527 34663 43843 50387 53014 67054 69326 79521 87686 100581 100774 103989 131529 151161 159042 201162 207978 263058 302322 450619 569959 655031 856579 901238 1139918 1310062 1351857 1709877 1713158 1965093 2569737 2703714 3419754 3930186 5139474 5258581 10517162 11135527 15775743 22271054 31551486 33406581 66813162 68361553 89395877 102739093 129948073 136723106 178791754 205084659 205478186 259896146 268187631 308217279 389844219 410169318 536375262 616434558 779688438 1162146401 1335608209 1689324949 1746564581 2209117241 2324292802 2671216418 3378649898 3486439203 3493129162 4006824627 4418234482 5067974847 5239693743 6627351723 6972878406 8013649254 10135949694 10479387486 13254703446 22705339553 28718524133 45410679106 57437048266 68116018659 86155572399 136232037318 172311144798 264964120847 529928241694 794892362541 1589784725082 3444533571011 4504390054399 6889067142022 9008780108798 10333600713033 13513170163197 20667201426066 27026340326394 58557070707187 117114141414374 175671212121561 351342424243122