Search a number
-
+
101033112323 = 1113268637919
BaseRepresentation
bin101111000011000001…
…0101111001100000011
3100122210011121212221002
41132012002233030003
53123403434043243
6114225230122215
710204460166533
oct1360602571403
9318704555832
10101033112323
1139936615740
12176b795036b
1396b1871400
144c6634b4c3
152964cabeb8
hex17860af303

101033112323 has 24 divisors (see below), whose sum is σ = 119380884480. Its totient is φ = 84759972960.

The previous prime is 101033112317. The next prime is 101033112331. The reversal of 101033112323 is 323211330101.

It is not a de Polignac number, because 101033112323 - 212 = 101033108227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101033112295 and 101033112304.

It is not an unprimeable number, because it can be changed into a prime (101033112623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12754358 + ... + 12762276.

It is an arithmetic number, because the mean of its divisors is an integer number (4974203520).

Almost surely, 2101033112323 is an apocalyptic number.

101033112323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101033112323 is a deficient number, since it is larger than the sum of its proper divisors (18347772157).

101033112323 is a wasteful number, since it uses less digits than its factorization.

101033112323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819 (or 14806 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101033112323 its reverse (323211330101), we get a palindrome (424244442424).

The spelling of 101033112323 in words is "one hundred one billion, thirty-three million, one hundred twelve thousand, three hundred twenty-three".

Divisors: 1 11 13 143 169 1859 6863 7919 75493 87109 89219 102947 981409 1132417 1159847 1338311 12758317 14721421 54348097 597829067 706525261 7771777871 9184828393 101033112323