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332023030000101 = 331140912011227567
BaseRepresentation
bin100101101111110010010001…
…0110000101010100111100101
31121112121002110211111102022000
41023133210202300222213211
5322004331131140000401
63134053135125155513
7126635605126352646
oct11337444260524745
91545532424442260
10332023030000101
119687a1a36812a0
12312a4354b5bb99
131133583943c60b
145bdc00112d6cd
15285ba3339e186
hex12df922c2a9e5

332023030000101 has 64 divisors (see below), whose sum is σ = 537962013388800. Its totient is φ = 200716488950400.

The previous prime is 332023030000037. The next prime is 332023030000147. The reversal of 332023030000101 is 101000030320233.

332023030000101 is a `hidden beast` number, since 3 + 32 + 0 + 230 + 300 + 0 + 0 + 101 = 666.

It is not a de Polignac number, because 332023030000101 - 26 = 332023030000037 is a prime.

It is a super-2 number, since 2×3320230300001012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332023030100101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1458898420 + ... + 1459125986.

It is an arithmetic number, because the mean of its divisors is an integer number (8405656459200).

Almost surely, 2332023030000101 is an apocalyptic number.

It is an amenable number.

332023030000101 is a deficient number, since it is larger than the sum of its proper divisors (205938983388699).

332023030000101 is a wasteful number, since it uses less digits than its factorization.

332023030000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240007 (or 240001 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 332023030000101 its reverse (101000030320233), we get a palindrome (433023060320334).

The spelling of 332023030000101 in words is "three hundred thirty-two trillion, twenty-three billion, thirty million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 11 27 33 99 297 409 1227 3681 4499 11043 12011 13497 36033 40491 108099 121473 132121 227567 324297 396363 682701 1189089 2048103 2503237 3567267 4912499 6144309 7509711 14737497 22529133 44212491 54037489 67587399 93074903 132637473 162112467 279224709 486337401 837674127 1023823933 1459012203 2513022381 2733307237 3071471799 8199921711 9214415397 24599765133 27643246191 30066379607 73799295399 90199138821 270597416463 811792249389 1117922659933 3353767979799 10061303939397 12297149259263 30183911818191 36891447777789 110674343333367 332023030000101