Search a number
-
+
332130301023104 = 2741137461949079
BaseRepresentation
bin100101110000100100001110…
…0100111001001001110000000
31121112222100100201211222222222
41023201020130213021032000
5322013110324030214404
63134214315351350212
7126646423323122153
oct11341103447111600
91545870321758888
10332130301023104
1196910740343611
12313010b1982368
13113429a344861c
145c03299ad9c9a
15285e710adadbe
hex12e121c9c9380

332130301023104 has 64 divisors (see below), whose sum is σ = 682751501258400. Its totient is φ = 160832190996480.

The previous prime is 332130301023097. The next prime is 332130301023193. The reversal of 332130301023104 is 401320103031233.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3321303010231042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 230255564 + ... + 231693515.

Almost surely, 2332130301023104 is an apocalyptic number.

It is an amenable number.

332130301023104 is an abundant number, since it is smaller than the sum of its proper divisors (350621200235296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332130301023104 is a wasteful number, since it uses less digits than its factorization.

332130301023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461949271 (or 461949259 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 332130301023104 its reverse (401320103031233), we get a palindrome (733450404054337).

The spelling of 332130301023104 in words is "three hundred thirty-two trillion, one hundred thirty billion, three hundred one million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 128 137 164 274 328 548 656 1096 1312 2192 2624 4384 5248 5617 8768 11234 17536 22468 44936 89872 179744 359488 718976 461949079 923898158 1847796316 3695592632 7391185264 14782370528 18939912239 29564741056 37879824478 59129482112 63287023823 75759648956 126574047646 151519297912 253148095292 303038595824 506296190584 606077191648 1012592381168 1212154383296 2025184762336 2424308766592 2594767976743 4050369524672 5189535953486 8100739049344 10379071906972 20758143813944 41516287627888 83032575255776 166065150511552 332130301023104