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101111133323 = 4147271193619
BaseRepresentation
bin101111000101010110…
…0010111010010001011
3100122222121102202121202
41132022230113102023
53124033422231243
6114241054254415
710206425311154
oct1361254272213
9318877382552
10101111133323
1139976665002
1217719ab740b
1396c4a8aa95
144c7285a92b
15296ba6e4b8
hex178ab1748b

101111133323 has 16 divisors (see below), whose sum is σ = 106171914240. Its totient is φ = 96189422400.

The previous prime is 101111133289. The next prime is 101111133337. The reversal of 101111133323 is 323331111101.

It is a cyclic number.

It is not a de Polignac number, because 101111133323 - 26 = 101111133259 is a prime.

It is a super-2 number, since 2×1011111333232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111133295 and 101111133304.

It is not an unprimeable number, because it can be changed into a prime (101111132323) 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 15 ways as a sum of consecutive naturals, for example, 425408 + ... + 619026.

It is an arithmetic number, because the mean of its divisors is an integer number (6635744640).

Almost surely, 2101111133323 is an apocalyptic number.

101111133323 is a deficient number, since it is larger than the sum of its proper divisors (5060780917).

101111133323 is a wasteful number, since it uses less digits than its factorization.

101111133323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193978.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101111133323 its reverse (323331111101), we get a palindrome (424442244424).

The spelling of 101111133323 in words is "one hundred one billion, one hundred eleven million, one hundred thirty-three thousand, three hundred twenty-three".

Divisors: 1 41 47 271 1927 11111 12737 193619 522217 7938379 9100093 52470749 373103813 2151300709 2466125203 101111133323