Search a number
-
+
111023020 = 22529672857
BaseRepresentation
bin1101001111000…
…01001110101100
321201220112221201
412213201032230
5211410214040
615003335244
72515452163
oct647411654
9251815851
10111023020
1157740269
1231221524
131a002bc4
1410a603da
159b30a9a
hex69e13ac

111023020 has 48 divisors (see below), whose sum is σ = 244873440. Its totient is φ = 42223104.

The previous prime is 111022993. The next prime is 111023063. The reversal of 111023020 is 20320111.

It is a super-2 number, since 2×1110230202 = 24652221939840800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111022988 and 111023006.

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, 37432 + ... + 40288.

It is an arithmetic number, because the mean of its divisors is an integer number (5101530).

Almost surely, 2111023020 is an apocalyptic number.

111023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122436720).

111023020 is an abundant number, since it is smaller than the sum of its proper divisors (133850420).

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

111023020 is a wasteful number, since it uses less digits than its factorization.

111023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 111023020 is about 10536.7461770700. The cubic root of 111023020 is about 480.6227738114.

Adding to 111023020 its reverse (20320111), we get a palindrome (131343131).

The spelling of 111023020 in words is "one hundred eleven million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 580 670 1340 1943 2857 3886 5714 7772 9715 11428 14285 19430 28570 38860 57140 82853 165706 191419 331412 382838 414265 765676 828530 957095 1657060 1914190 3828380 5551151 11102302 22204604 27755755 55511510 111023020