Search a number
-
+
111002302032030 = 23251233358911467
BaseRepresentation
bin11001001111010010111100…
…110010000010100010011110
3112120000201100021122112212200
4121033102330302002202132
5104022130203310011110
61032025430434512330
732244436344312333
oct3117227462024236
9476021307575780
10111002302032030
11324068a27448a2
1210548ba64356a6
1349c261a474016
141d5a77bdc498a
15cc76580ec6c0
hex64f4bcc8289e

111002302032030 has 24 divisors (see below), whose sum is σ = 288605985283512. Its totient is φ = 29600613875184.

The previous prime is 111002302032029. The next prime is 111002302032031. The reversal of 111002302032030 is 30230203200111.

111002302032030 is a `hidden beast` number, since 1 + 1 + 10 + 0 + 2 + 302 + 0 + 320 + 30 = 666.

111002302032030 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 (111002302032029) and next prime (111002302032031).

It is a super-2 number, since 2×1110023020320302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111002302031994 and 111002302032012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111002302032031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616679455644 + ... + 616679455823.

It is an arithmetic number, because the mean of its divisors is an integer number (12025249386813).

Almost surely, 2111002302032030 is an apocalyptic number.

111002302032030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111002302032030 is an abundant number, since it is smaller than the sum of its proper divisors (177603683251482).

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

111002302032030 is a wasteful number, since it uses less digits than its factorization.

111002302032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233358911480 (or 1233358911477 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 111002302032030 its reverse (30230203200111), we get a palindrome (141232505232141).

The spelling of 111002302032030 in words is "one hundred eleven trillion, two billion, three hundred two million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1233358911467 2466717822934 3700076734401 6166794557335 7400153468802 11100230203203 12333589114670 18500383672005 22200460406406 37000767344010 55501151016015 111002302032030