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153413303450133 = 311316691097924697
BaseRepresentation
bin100010111000011101010001…
…011101001011101000010101
3202010012011112220002201122210
4202320131101131023220111
5130102010421140401013
61302141033150544033
744212513450315416
oct4270352135135025
9663164486081583
10153413303450133
1144978242359321
1215258638b08019
13677aa73c1411c
1429c535a27180d
1512b097345ecc3
hex8b875174ba15

153413303450133 has 32 divisors (see below), whose sum is σ = 206512070140800. Its totient is φ = 101296375842816.

The previous prime is 153413303450129. The next prime is 153413303450219. The reversal of 153413303450133 is 331054303314351.

It is a happy number.

It is not a de Polignac number, because 153413303450133 - 22 = 153413303450129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 153413303450091 and 153413303450100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153413303458133) 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 31 ways as a sum of consecutive naturals, for example, 6211807041 + ... + 6211831737.

It is an arithmetic number, because the mean of its divisors is an integer number (6453502191900).

Almost surely, 2153413303450133 is an apocalyptic number.

It is an amenable number.

153413303450133 is a deficient number, since it is larger than the sum of its proper divisors (53098766690667).

153413303450133 is a wasteful number, since it uses less digits than its factorization.

153413303450133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37461.

The product of its (nonzero) digits is 291600, while the sum is 39.

Adding to 153413303450133 its reverse (331054303314351), we get a palindrome (484467606764484).

The spelling of 153413303450133 in words is "one hundred fifty-three trillion, four hundred thirteen billion, three hundred three million, four hundred fifty thousand, one hundred thirty-three".

Divisors: 1 3 113 339 1669 5007 10979 24697 32937 74091 188597 565791 1240627 2790761 3721881 8372283 18323951 41219293 54971853 123657879 271148363 813445089 2070606463 4657780109 6211819389 13973340327 30639765019 91919295057 452546617847 1357639853541 51137767816711 153413303450133