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110110122112020 = 22357693596966347
BaseRepresentation
bin11001000010010100000010…
…101101101111010000010100
3112102212102110201201200200120
4121002110002231233100110
5103413021012230041040
61030103520342511540
732123123321155662
oct3102240255572024
9472772421650616
10110110122112020
11320a2493404928
12104240b51355b0
134959455b846a4
141d2950342dc32
15cae33c3cb7d0
hex642502b6f414

110110122112020 has 96 divisors (see below), whose sum is σ = 308722498761600. Its totient is φ = 29323259019264.

The previous prime is 110110122111991. The next prime is 110110122112061. The reversal of 110110122112020 is 20211221011011.

It is a happy number.

110110122112020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1101101221120203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1659576487 + ... + 1659642833.

It is an arithmetic number, because the mean of its divisors is an integer number (3215859362100).

Almost surely, 2110110122112020 is an apocalyptic number.

110110122112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110122112020 is an abundant number, since it is smaller than the sum of its proper divisors (198612376649580).

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

110110122112020 is a wasteful number, since it uses less digits than its factorization.

110110122112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103097 (or 103095 counting only the distinct ones).

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

Adding to 110110122112020 its reverse (20211221011011), we get a palindrome (130321343123031).

The spelling of 110110122112020 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 769 1538 2307 3076 3845 4614 7690 9228 11535 15380 23070 35969 46140 66347 71938 107907 132694 143876 179845 199041 215814 265388 331735 359690 398082 431628 539535 663470 719380 796164 995205 1079070 1326940 1990410 2158140 3980820 27660161 51020843 55320322 82980483 102041686 110640644 138300805 153062529 165960966 204083372 255104215 276601610 306125058 331921932 414902415 510208430 553203220 612250116 765312645 829804830 1020416860 1530625290 1659609660 2386435243 3061250580 4772870486 7159305729 9545740972 11932176215 14318611458 23864352430 28637222916 35796528645 47728704860 71593057290 143186114580 1835168701867 3670337403734 5505506105601 7340674807468 9175843509335 11011012211202 18351687018670 22022024422404 27527530528005 36703374037340 55055061056010 110110122112020