Search a number
-
+
10033332023 = 1113334720963
BaseRepresentation
bin10010101100000100…
…00111111100110111
3221220020111002001202
421112002013330313
5131022013111043
64335333043115
7503430625601
oct112602077467
927806432052
1010033332023
114289610940
121b4018649b
13c3b88ac70
146b275c171
153dac941b8
hex256087f37

10033332023 has 16 divisors (see below), whose sum is σ = 11791495296. Its totient is φ = 8416662240.

The previous prime is 10033332013. The next prime is 10033332053. The reversal of 10033332023 is 32023333001.

It is a cyclic number.

It is not a de Polignac number, because 10033332023 - 214 = 10033315639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10033331986 and 10033332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033332013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468140 + ... + 489102.

It is an arithmetic number, because the mean of its divisors is an integer number (736968456).

Almost surely, 210033332023 is an apocalyptic number.

10033332023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10033332023 is a deficient number, since it is larger than the sum of its proper divisors (1758163273).

10033332023 is a wasteful number, since it uses less digits than its factorization.

10033332023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24334.

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 10033332023 its reverse (32023333001), we get a palindrome (42056665024).

The spelling of 10033332023 in words is "ten billion, thirty-three million, three hundred thirty-two thousand, twenty-three".

Divisors: 1 11 13 143 3347 20963 36817 43511 230593 272519 478621 2997709 70163161 771794771 912121093 10033332023