Search a number
-
+
32023133021331 = 36474073229469
BaseRepresentation
bin1110100011111111101110…
…11101111110010010010011
311012101101022012101212000000
413101333313131332102103
513144131334023140311
6152035120233101043
76513411042340164
oct721776735762223
9135341265355000
1032023133021331
11a226a30827191
12371236a557783
1314b39cb49850a
147c9cdc27376b
153a7eddae0056
hex1d1ff777e493

32023133021331 has 56 divisors (see below), whose sum is σ = 49046535961920. Its totient is φ = 20889305467776.

The previous prime is 32023133021323. The next prime is 32023133021339. The reversal of 32023133021331 is 13312033132023.

32023133021331 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 313 + 302 + 13 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (32023133021323) and next prime (32023133021339).

It is not a de Polignac number, because 32023133021331 - 23 = 32023133021323 is a prime.

It is a super-2 number, since 2×320231330213312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32023133021295 and 32023133021304.

It is not an unprimeable number, because it can be changed into a prime (32023133021339) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 139438465 + ... + 139667933.

It is an arithmetic number, because the mean of its divisors is an integer number (875830999320).

Almost surely, 232023133021331 is an apocalyptic number.

32023133021331 is a deficient number, since it is larger than the sum of its proper divisors (17023402940589).

32023133021331 is an equidigital number, since it uses as much as digits as its factorization.

32023133021331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233607 (or 233592 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 32023133021331 its reverse (13312033132023), we get a palindrome (45335166153354).

The spelling of 32023133021331 in words is "thirty-two trillion, twenty-three billion, one hundred thirty-three million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 47 81 141 243 423 729 1269 3807 4073 11421 12219 34263 36657 109971 191431 229469 329913 574293 688407 989739 1722879 2065221 2969217 5168637 6195663 10785043 15505911 18586989 32355129 46517733 55760967 97065387 139553199 167282901 291196161 873588483 934627237 2620765449 2803881711 7862296347 8411645133 25234935399 43927480139 75704806197 131782440417 227114418591 395347321251 681343255773 1186041963753 3558125891259 10674377673777 32023133021331