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110221244034342 = 2373178942297079
BaseRepresentation
bin11001000011111011100010…
…000110001110110100100110
3112110021001022000020020011020
4121003323202012032310212
5103421331101433044332
61030230535051152010
732134136115006000
oct3103734206166446
9473231260206136
10110221244034342
1132135626882871
1210441747745606
134966a8493964c
141d30a4561b370
15cb2192c3a82c
hex643ee218ed26

110221244034342 has 128 divisors (see below), whose sum is σ = 257316652800000. Its totient is φ = 31462293453696.

The previous prime is 110221244034263. The next prime is 110221244034367. The reversal of 110221244034342 is 243430442122011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15570167959 + ... + 15570175037.

It is an arithmetic number, because the mean of its divisors is an integer number (2010286350000).

Almost surely, 2110221244034342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221244034342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128658326400000).

110221244034342 is an abundant number, since it is smaller than the sum of its proper divisors (147095408765658).

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

110221244034342 is a wasteful number, since it uses less digits than its factorization.

110221244034342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13123 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 110221244034342 its reverse (243430442122011), we get a palindrome (353651686156353).

The spelling of 110221244034342 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred forty-four million, thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 1789 2058 3578 4229 5367 7079 8458 10734 12523 12687 14158 21237 25046 25374 29603 37569 42474 49553 59206 75138 87661 88809 99106 148659 175322 177618 207221 262983 297318 346871 414442 525966 613627 621663 693742 1040613 1227254 1243326 1450547 1840881 2081226 2428097 2901094 3681762 4351641 4856194 7284291 7565681 8703282 12664331 14568582 15131362 22697043 25328662 29937091 37992993 45394086 52959767 59874182 75985986 88650317 89811273 105919534 158879301 177300634 179622546 209559637 265950951 317758602 370718369 419119274 531901902 620552219 628678911 741436738 1112155107 1241104438 1257357822 1466917459 1861656657 2224310214 2595028583 2933834918 3723313314 4343865533 4400752377 5190057166 7785085749 8687731066 8801504754 10268422213 13031596599 15570171498 20536844426 26063193198 30805266639 53557455799 61610533278 107114911598 160672367397 321344734794 374902190593 749804381186 1124706571779 2249413143558 2624315334151 5248630668302 7872946002453 15745892004906 18370207339057 36740414678114 55110622017171 110221244034342