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110021144232340 = 22511733823182889
BaseRepresentation
bin11001000001000001001011…
…001110000100000110010100
3112102112220210201011002001101
4121001001023032010012110
5103410041300410413330
61025555003234035444
732113523342523025
oct3101011316040624
9472486721132041
10110021144232340
1132068783745980
121040aa02718b84
134950c45a45b43
141d250a219ac4c
15cabd80b504ca
hex64104b384194

110021144232340 has 96 divisors (see below), whose sum is σ = 252426007169280. Its totient is φ = 39947772134400.

The previous prime is 110021144232283. The next prime is 110021144232343. The reversal of 110021144232340 is 43232441120011.

It is a happy number.

It is a super-2 number, since 2×1100211442323402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110021144232299 and 110021144232308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021144232343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327289616 + ... + 1327372504.

It is an arithmetic number, because the mean of its divisors is an integer number (2629437574680).

Almost surely, 2110021144232340 is an apocalyptic number.

110021144232340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110021144232340 is an abundant number, since it is smaller than the sum of its proper divisors (142404862936940).

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

110021144232340 is a wasteful number, since it uses less digits than its factorization.

110021144232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91873 (or 91871 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 110021144232340 its reverse (43232441120011), we get a palindrome (153253585352351).

The spelling of 110021144232340 in words is "one hundred ten trillion, twenty-one billion, one hundred forty-four million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 733 1466 2932 3665 7330 8063 8231 14660 16126 16462 32252 32924 40315 41155 80630 82310 82889 90541 161260 164620 165778 181082 331556 362164 414445 452705 828890 905410 911779 1657780 1810820 1823558 3647116 4558895 6033323 9117790 12066646 18235580 24133292 30166615 60333230 60757637 66366553 120666460 121515274 132733106 243030548 265466212 303788185 331832765 607576370 663665530 668334007 682259359 1215152740 1327331060 1336668014 1364518718 2673336028 2729037436 3341670035 3411296795 6683340070 6822593590 7504852949 13366680140 13645187180 15009705898 30019411796 37524264745 75048529490 150097058980 500096110147 1000192220294 2000384440588 2500480550735 5000961101470 5501057211617 10001922202940 11002114423234 22004228846468 27505286058085 55010572116170 110021144232340