Search a number
-
+
111022220148 = 22374143374449
BaseRepresentation
bin110011101100101110…
…0001010001101110100
3101121120022220010210120
41213121130022031310
53304333142021043
6123000343251540
711010143205060
oct1473134121564
9347508803716
10111022220148
11430a2170254
1219625149bb0
13a614216bb8
145532c76aa0
152d4bc17983
hex19d970a374

111022220148 has 96 divisors (see below), whose sum is σ = 303984710400. Its totient is φ = 30875074560.

The previous prime is 111022220147. The next prime is 111022220149. The reversal of 111022220148 is 841022220111.

It is a happy number.

111022220148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (111022220147) and next prime (111022220149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111022220147) by changing a digit.

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, 1454028 + ... + 1528476.

It is an arithmetic number, because the mean of its divisors is an integer number (3166507400).

Almost surely, 2111022220148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111022220148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151992355200).

111022220148 is an abundant number, since it is smaller than the sum of its proper divisors (192962490252).

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

111022220148 is a wasteful number, since it uses less digits than its factorization.

111022220148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74937 (or 74935 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 111022220148 its reverse (841022220111), we get a palindrome (952044440259).

The spelling of 111022220148 in words is "one hundred eleven billion, twenty-two million, two hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 433 492 574 861 866 1148 1299 1722 1732 2598 3031 3444 5196 6062 9093 12124 17753 18186 35506 36372 53259 71012 74449 106518 124271 148898 213036 223347 248542 297796 372813 446694 497084 521143 745626 893388 1042286 1491252 1563429 2084572 3052409 3126858 6104818 6253716 9157227 12209636 18314454 21366863 32236417 36628908 42733726 64100589 64472834 85467452 96709251 128201178 128945668 193418502 225654919 256402356 386837004 451309838 676964757 902619676 1321693097 1353929514 2643386194 2707859028 3965079291 5286772388 7930158582 9251851679 15860317164 18503703358 27755555037 37007406716 55511110074 111022220148