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10120101112122 = 2319414371709201
BaseRepresentation
bin1001001101000100010100…
…0010000010100100111010
31022211110202020122220002020
42103101011002002210322
52311301431341041442
633305035452415310
72063103353063241
oct223210502024472
938743666586066
1010120101112122
113251a0227a181
121175415477536
13585424285641
1426db5ba75958
151283a8c1c9ec
hex9344508293a

10120101112122 has 128 divisors (see below), whose sum is σ = 22647259514880. Its totient is φ = 3002469120000.

The previous prime is 10120101112109. The next prime is 10120101112127. The reversal of 10120101112122 is 22121110102101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10120101112127) 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, 13915122 + ... + 14624322.

It is an arithmetic number, because the mean of its divisors is an integer number (176931714960).

Almost surely, 210120101112122 is an apocalyptic number.

10120101112122 is an abundant number, since it is smaller than the sum of its proper divisors (12527158402758).

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

10120101112122 is a wasteful number, since it uses less digits than its factorization.

10120101112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709380.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10120101112122 its reverse (22121110102101), we get a palindrome (32241211214223).

The spelling of 10120101112122 in words is "ten trillion, one hundred twenty billion, one hundred one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 38 41 43 57 71 82 86 114 123 129 142 213 246 258 426 779 817 1349 1558 1634 1763 2337 2451 2698 2911 3053 3526 4047 4674 4902 5289 5822 6106 8094 8733 9159 10578 17466 18318 33497 55309 58007 66994 100491 110618 116014 125173 165927 174021 200982 250346 331854 348042 375519 709201 751038 1418402 2127603 2378287 4255206 4756574 7134861 13474819 14269722 26949638 29077241 30495643 40424457 50353271 58154482 60991286 80848914 87231723 91486929 100706542 151059813 174463446 182973858 302119626 552467579 579417217 956712149 1104935158 1158834434 1250321363 1657402737 1738251651 1913424298 2064484111 2165190653 2500642726 2870136447 3314805474 3476503302 3750964089 4128968222 4330381306 5740272894 6193452333 6495571959 7501928178 12386904666 12991143918 23756105897 39225198109 41138622407 47512211794 71268317691 78450396218 82277244814 88772816773 117675594327 123415867221 142536635382 177545633546 235351188654 246831734442 266318450319 532636900638 1686683518687 3373367037374 5060050556061 10120101112122