Search a number
-
+
110100011110122 = 231143313407330431
BaseRepresentation
bin11001000010001010101000…
…000011010100111011101010
3112102211110101002002120120210
4121002022220003110323222
5103412334310321010442
61030055125153001550
732122314625110225
oct3102125003247352
9472743332076523
10110100011110122
1132099174a74510
1210422152b532b6
1349585041a0b27
141d28c246545bc
15cade498e419c
hex6422a80d4eea

110100011110122 has 128 divisors (see below), whose sum is σ = 246658642255872. Its totient is φ = 32474584396800.

The previous prime is 110100011110081. The next prime is 110100011110139. The reversal of 110100011110122 is 221011110001011.

It is a junction number, because it is equal to n+sod(n) for n = 110100011110098 and 110100011110107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3618006247 + ... + 3618036677.

It is an arithmetic number, because the mean of its divisors is an integer number (1927020642624).

Almost surely, 2110100011110122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110100011110122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123329321127936).

110100011110122 is an abundant number, since it is smaller than the sum of its proper divisors (136558631145750).

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

110100011110122 is a wasteful number, since it uses less digits than its factorization.

110100011110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34876.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110100011110122 its reverse (221011110001011), we get a palindrome (331111121111133).

The spelling of 110100011110122 in words is "one hundred ten trillion, one hundred billion, eleven million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 313 473 626 939 946 1419 1878 2838 3443 4073 6886 8146 10329 12219 13459 20658 24438 26918 30431 40377 44803 60862 80754 89606 91293 134409 148049 175139 182586 268818 296098 334741 350278 444147 525417 669482 888294 1004223 1050834 1274849 1308533 1926529 2008446 2549698 2617066 3824547 3853058 3925599 5779587 7649094 7851198 9524903 11559174 14023339 14393863 19049806 28046678 28574709 28787726 42070017 43181589 54818507 57149418 84140034 86363178 104773933 109637014 123945463 164455521 209547866 247890926 314321799 328911042 371836389 409570829 603003577 628643598 743672778 819141658 1206007154 1228712487 1363400093 1809010731 2457424974 2726800186 3618021462 4090200279 4505279119 5329654909 8180400558 9010558238 10659309818 13515837357 15988964727 27031674714 31977929454 38794929919 58626203999 77589859838 116384789757 117252407998 175878611997 232769579514 351757223994 426744229109 853488458218 1280232687327 1668181986517 2560465374654 3336363973034 5004545959551 10009091919102 18350001851687 36700003703374 55050005555061 110100011110122