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101331342333 = 3313307940369
BaseRepresentation
bin101111001011111010…
…0011001001111111101
3100200112221210112121000
41132113310121033331
53130011310423313
6114315002200513
710215041125014
oct1362764311775
9320487715530
10101331342333
1139a799a0321
121777b7b3139
13972b59c680
144c93bbda7b
15298106b673
hex1797d193fd

101331342333 has 32 divisors (see below), whose sum is σ = 162195017600. Its totient is φ = 62154563328.

The previous prime is 101331342323. The next prime is 101331342341. The reversal of 101331342333 is 333243133101.

101331342333 is a `hidden beast` number, since 1 + 0 + 13 + 313 + 4 + 2 + 333 = 666.

It is not a de Polignac number, because 101331342333 - 26 = 101331342269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101331342297 and 101331342306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331342313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362428 + ... + 577941.

It is an arithmetic number, because the mean of its divisors is an integer number (5068594300).

Almost surely, 2101331342333 is an apocalyptic number.

101331342333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101331342333 is a deficient number, since it is larger than the sum of its proper divisors (60863675267).

101331342333 is a wasteful number, since it uses less digits than its factorization.

101331342333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940698 (or 940692 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 101331342333 its reverse (333243133101), we get a palindrome (434574475434).

The spelling of 101331342333 in words is "one hundred one billion, three hundred thirty-one million, three hundred forty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 307 351 921 2763 3991 8289 11973 35919 107757 940369 2821107 8463321 12224797 25389963 36674391 110023173 288693283 330069519 866079849 2598239547 3753012679 7794718641 11259038037 33777114111 101331342333