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330153113121 = 31323773561407
BaseRepresentation
bin1001100110111101010…
…10001011011000100001
31011120011221022212211120
410303132222023120201
520402123144104441
6411400435002453
732565334105206
oct4633652133041
91146157285746
10330153113121
111180209094a7
1253b9b739429
1325196b42890
1411d9da45cad
1588c497e966
hex4cdea8b621

330153113121 has 16 divisors (see below), whose sum is σ = 474265580544. Its totient is φ = 203085615744.

The previous prime is 330153113119. The next prime is 330153113123. The reversal of 330153113121 is 121311351033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (330153113119) and next prime (330153113123).

It is not a de Polignac number, because 330153113121 - 21 = 330153113119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330153113091 and 330153113100.

It is not an unprimeable number, because it can be changed into a prime (330153113123) 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, 1688001 + ... + 1873406.

It is an arithmetic number, because the mean of its divisors is an integer number (29641598784).

Almost surely, 2330153113121 is an apocalyptic number.

It is an amenable number.

330153113121 is a deficient number, since it is larger than the sum of its proper divisors (144112467423).

330153113121 is a wasteful number, since it uses less digits than its factorization.

330153113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563800.

The product of its (nonzero) digits is 810, while the sum is 24.

Adding to 330153113121 its reverse (121311351033), we get a palindrome (451464464154).

The spelling of 330153113121 in words is "three hundred thirty billion, one hundred fifty-three million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 13 39 2377 7131 30901 92703 3561407 10684221 46298291 138894873 8465464439 25396393317 110051037707 330153113121