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321004131101433 = 32132743625052149
BaseRepresentation
bin100100011111100111001100…
…1001101001010101011111001
31120002120200202211020012210200
41020333032121031022223321
5314033312430030221213
63054415132332432413
7124420532421163353
oct11077163115125371
91502520684205720
10321004131101433
11933110a64a006a
1230004902018709
1310a167377b89b0
14593a97ba1a0d3
15271a0c297b273
hex123f39934aaf9

321004131101433 has 12 divisors (see below), whose sum is σ = 499339759491300. Its totient is φ = 197541003754656.

The previous prime is 321004131101429. The next prime is 321004131101741. The reversal of 321004131101433 is 334101131400123.

321004131101433 is a `hidden beast` number, since 3 + 2 + 100 + 4 + 13 + 110 + 1 + 433 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112624137452304 + 208379993649129 = 10612452^2 + 14435373^2 .

It is not a de Polignac number, because 321004131101433 - 22 = 321004131101429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321004131101397 and 321004131101406.

It is not an unprimeable number, because it can be changed into a prime (321004131103433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1371812525958 + ... + 1371812526191.

It is an arithmetic number, because the mean of its divisors is an integer number (41611646624275).

Almost surely, 2321004131101433 is an apocalyptic number.

It is an amenable number.

321004131101433 is a deficient number, since it is larger than the sum of its proper divisors (178335628389867).

321004131101433 is a wasteful number, since it uses less digits than its factorization.

321004131101433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743625052168 (or 2743625052165 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 321004131101433 its reverse (334101131400123), we get a palindrome (655105262501556).

The spelling of 321004131101433 in words is "three hundred twenty-one trillion, four billion, one hundred thirty-one million, one hundred one thousand, four hundred thirty-three".

Divisors: 1 3 9 13 39 117 2743625052149 8230875156447 24692625469341 35667125677937 107001377033811 321004131101433