Search a number
-
+
234533214212001 = 319231073797440329
BaseRepresentation
bin110101010100111010000100…
…111010111100111110100001
31010202102011012221122000120020
4311110322010322330332201
5221220043010314241001
62150451023213504053
7100254315454030035
oct6524720472747641
91122364187560506
10234533214212001
1168802a83177551
122237a136aa2029
13a0b35058b2cb3
1441cb67a7c61c5
151c1ab31839736
hexd54e84ebcfa1

234533214212001 has 64 divisors (see below), whose sum is σ = 346783335782400. Its totient is φ = 140324516107776.

The previous prime is 234533214211979. The next prime is 234533214212009. The reversal of 234533214212001 is 100212412335432.

It is a happy number.

It is not a de Polignac number, because 234533214212001 - 26 = 234533214211937 is a prime.

It is a super-2 number, since 2×2345332142120012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234533214212009) 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, 532411605 + ... + 532851933.

It is an arithmetic number, because the mean of its divisors is an integer number (5418489621600).

Almost surely, 2234533214212001 is an apocalyptic number.

It is an amenable number.

234533214212001 is a deficient number, since it is larger than the sum of its proper divisors (112250121570399).

234533214212001 is a wasteful number, since it uses less digits than its factorization.

234533214212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444278.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 234533214212001 its reverse (100212412335432), we get a palindrome (334745626547433).

The spelling of 234533214212001 in words is "two hundred thirty-four trillion, five hundred thirty-three billion, two hundred fourteen million, two hundred twelve thousand, one".

Divisors: 1 3 19 23 57 69 107 321 437 1311 2033 2461 3797 6099 7383 11391 46759 72143 87331 140277 216429 261993 406279 440329 1218837 1320987 1659289 4977867 7719301 8366251 9344417 10127567 23157903 25098753 28033251 30382701 47115203 141345609 177543923 192423773 532631769 577271319 895188857 1083649669 1671929213 2685566571 3250949007 5015787639 20589343711 31766655047 38454371899 61768031133 95299965141 115363115697 178896425791 536689277373 730633066081 2191899198243 3399032090029 4114617793193 10197096270087 12343853379579 78177738070667 234533214212001