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122003311420014 = 236110954110975153
BaseRepresentation
bin11011101111011000011100…
…000010011110001001101110
3120222222101212112122110012020
4123233120130002132021232
5111442400240210420024
61111251314133051010
734461306535250043
oct3357303402361156
9528871775573166
10122003311420014
113596834a749952
1211825086186a66
13530cb2aa4136b
14221adc562d1ca
15e188bd1de979
hex6ef61c09e26e

122003311420014 has 128 divisors (see below), whose sum is σ = 251021928389760. Its totient is φ = 39517109452800.

The previous prime is 122003311419947. The next prime is 122003311420019. The reversal of 122003311420014 is 410024113300221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003311420019) 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, 23676168862 + ... + 23676174014.

It is an arithmetic number, because the mean of its divisors is an integer number (1961108815545).

Almost surely, 2122003311420014 is an apocalyptic number.

122003311420014 is an abundant number, since it is smaller than the sum of its proper divisors (129018616969746).

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

122003311420014 is a wasteful number, since it uses less digits than its factorization.

122003311420014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122003311420014 its reverse (410024113300221), we get a palindrome (532027424720235).

The spelling of 122003311420014 in words is "one hundred twenty-two trillion, three billion, three hundred eleven million, four hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 61 109 122 183 218 327 366 541 654 1082 1097 1623 2194 3246 3291 5153 6582 6649 10306 13298 15459 19947 30918 33001 39894 58969 66002 66917 99003 117938 119573 133834 176907 198006 200751 239146 314333 353814 358719 401502 561677 593477 628666 717438 942999 1123354 1186954 1685031 1780431 1885998 2787773 3370062 3560862 3597109 5575546 5652841 7194218 7293953 8363319 10791327 11305682 14587906 16726638 16958523 21582654 21881859 33917046 34262297 36202097 43763718 64688993 68524594 72404194 102786891 108606291 129377986 170054153 194066979 205573782 217212582 303867257 340108306 344823301 388133958 510162459 607734514 616159669 689646602 911601771 1020324918 1034469903 1232319338 1823203542 1848479007 2068939806 3058186981 3696958014 3946028573 6116373962 7892057146 9174560943 11838085719 18349121886 18535902677 23676171438 37071805354 37585739809 55607708031 75171479618 111215416062 112757219427 186549405841 225514438854 333342380929 373098811682 559648217523 666684761858 1000027142787 1119296435046 2000054285574 20333885236669 40667770473338 61001655710007 122003311420014