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332130141031233 = 310119712794350397
BaseRepresentation
bin100101110000100100001001…
…1000100110100101101000001
31121112222022221120210120102010
41023201020103010310231001
5322013110012100444413
63134214251434243133
7126646416341165436
oct11341102304645501
91545868846716363
10332130141031233
1196910668aa7326
12313010682864a9
131134297925b78c
145c0328276db8d
15285e701a35dc3
hex12e1213134b41

332130141031233 has 32 divisors (see below), whose sum is σ = 449846466600960. Its totient is φ = 217944398649600.

The previous prime is 332130141031147. The next prime is 332130141031277.

It is a happy number.

332130141031233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332130141031233 - 212 = 332130141027137 is a prime.

It is a super-2 number, since 2×3321301410312332 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332130141031233.

It is not an unprimeable number, because it can be changed into a prime (332130141031933) 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 31 ways as a sum of consecutive naturals, for example, 74169591 + ... + 78519987.

It is an arithmetic number, because the mean of its divisors is an integer number (14057702081280).

Almost surely, 2332130141031233 is an apocalyptic number.

It is an amenable number.

332130141031233 is a deficient number, since it is larger than the sum of its proper divisors (117716325569727).

332130141031233 is a wasteful number, since it uses less digits than its factorization.

332130141031233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351977.

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 332130141031233 in words is "three hundred thirty-two trillion, one hundred thirty billion, one hundred forty-one million, thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 101 197 303 591 1279 3837 19897 59691 129179 251963 387537 755889 4350397 13051191 25448263 76344789 439390097 857028209 1318170291 2571084627 5564157763 16692473289 86559849109 259679547327 561979934063 1096139079311 1685939802189 3288417237933 110710047010411 332130141031233