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332023200132033 = 32196179882145677
BaseRepresentation
bin100101101111110010010110…
…0111001101010101111000001
31121112121002220200122000102200
41023133210230321222233001
5322004332003213211113
63134053204043503413
7126635612263431264
oct11337445471525701
91545532820560380
10332023200132033
119687a2807139a3
12312a43a1b27b69
13113358657699b7
145bdc019978cdb
15285ba432a8873
hex12df92ce6abc1

332023200132033 has 96 divisors (see below), whose sum is σ = 519671809113600. Its totient is φ = 203622731020800.

The previous prime is 332023200132023. The next prime is 332023200132101. The reversal of 332023200132033 is 330231002320233.

332023200132033 is a `hidden beast` number, since 3 + 3 + 202 + 320 + 0 + 132 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 332023200132033 - 212 = 332023200127937 is a prime.

It is a super-2 number, since 2×3320232001320332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332023200131988 and 332023200132006.

It is not an unprimeable number, because it can be changed into a prime (332023200132023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7268913391 + ... + 7268959067.

It is an arithmetic number, because the mean of its divisors is an integer number (5413248011600).

Almost surely, 2332023200132033 is an apocalyptic number.

It is an amenable number.

332023200132033 is a deficient number, since it is larger than the sum of its proper divisors (187648608981567).

332023200132033 is a wasteful number, since it uses less digits than its factorization.

332023200132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54663 (or 54660 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 332023200132033 its reverse (330231002320233), we get a palindrome (662254202452266).

The spelling of 332023200132033 in words is "three hundred thirty-two trillion, twenty-three billion, two hundred million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 3 9 19 57 61 79 171 183 237 549 711 1159 1501 3477 4503 4819 8821 10431 13509 14457 26463 43371 45677 79389 91561 137031 167599 274683 411093 502797 538081 696859 824049 867863 1508391 1614243 2090577 2603589 2786297 3608483 4842729 6271731 7810767 8358891 10223539 10825449 13240321 25076673 30670617 32476347 39720963 42508399 52939643 68561177 92011851 119162889 127525197 158818929 205683531 220117463 382575591 402916817 476456787 617050593 660352389 807659581 1208750451 1981057167 2422978743 3626251353 4182231797 7268936229 7655419523 12546695391 22966258569 24577925837 31830428543 37640086173 68898775707 73733777511 95491285629 221201332533 286473856887 466980590903 604778142317 1400941772709 1814334426951 1941656141123 4202825318127 5443003280853 5824968423369 17474905270107 36891466681337 110674400044011 332023200132033