Search a number
-
+
213203322013312 = 2717191512981507
BaseRepresentation
bin110000011110100001000100…
…010001100000011010000000
31000221220001001002101000220101
4300132201010101200122000
5210421110400413411222
62033240130510252144
762623301033561221
oct6036410421403200
91027801032330811
10213203322013312
1161a2a026093a94
121bab42951b7054
1391c6caa5853c7
143a9114add7248
15199ad9364a927
hexc1e844460680

213203322013312 has 64 divisors (see below), whose sum is σ = 452080343370240. Its totient is φ = 99805681807360.

The previous prime is 213203322013243. The next prime is 213203322013321. The reversal of 213203322013312 is 213310223302312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256075138 + ... + 256906369.

It is an arithmetic number, because the mean of its divisors is an integer number (7063755365160).

Almost surely, 2213203322013312 is an apocalyptic number.

It is an amenable number.

213203322013312 is an abundant number, since it is smaller than the sum of its proper divisors (238877021356928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213203322013312 is a wasteful number, since it uses less digits than its factorization.

213203322013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512981729 (or 512981717 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 213203322013312 its reverse (213310223302312), we get a palindrome (426513545315624).

The spelling of 213203322013312 in words is "two hundred thirteen trillion, two hundred three billion, three hundred twenty-two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 191 272 382 544 764 1088 1528 2176 3056 3247 6112 6494 12224 12988 24448 25976 51952 103904 207808 415616 512981507 1025963014 2051926028 4103852056 8207704112 8720685619 16415408224 17441371238 32830816448 34882742476 65661632896 69765484952 97979467837 139530969904 195958935674 279061939808 391917871348 558123879616 783835742696 1116247759232 1567671485392 1665650953229 3135342970784 3331301906458 6270685941568 6662603812916 12541371883136 13325207625832 26650415251664 53300830503328 106601661006656 213203322013312