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114222123312 = 243111012141879
BaseRepresentation
bin110101001100000101…
…0110100100100110000
3101220211100002001201120
41222120022310210300
53332411330421222
6124250052302240
711152350012603
oct1523012644460
9356740061646
10114222123312
1144494457920
121a178911980
13aa0415061b
145757c3833a
152e87ae715c
hex1a982b4930

114222123312 has 80 divisors (see below), whose sum is σ = 325085978880. Its totient is φ = 34270048000.

The previous prime is 114222123287. The next prime is 114222123343. The reversal of 114222123312 is 213321222411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017612 + ... + 1124267.

It is an arithmetic number, because the mean of its divisors is an integer number (4063574736).

Almost surely, 2114222123312 is an apocalyptic number.

114222123312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114222123312 is an abundant number, since it is smaller than the sum of its proper divisors (210863855568).

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

114222123312 is a wasteful number, since it uses less digits than its factorization.

114222123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142002 (or 2141996 counting only the distinct ones).

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

Adding to 114222123312 its reverse (213321222411), we get a palindrome (327543345723).

Subtracting 114222123312 from its reverse (213321222411), we obtain a palindrome (99099099099).

The spelling of 114222123312 in words is "one hundred fourteen billion, two hundred twenty-two million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 26664 53328 2141879 4283758 6425637 8567516 12851274 17135032 23560669 25702548 34270064 47121338 51405096 70682007 94242676 102810192 141364014 188485352 216329779 282728028 376970704 432659558 565456056 648989337 865319116 1130912112 1297978674 1730638232 2379627569 2595957348 3461276464 4759255138 5191914696 7138882707 9518510276 10383829392 14277765414 19037020552 28555530828 38074041104 57111061656 114222123312