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213321400413 = 311191813475417
BaseRepresentation
bin1100011010101011110…
…0100100000001011101
3202101121201211221102220
43012222330210001131
511443340234303123
6241555401535553
721261205662042
oct3065274440135
9671551757386
10213321400413
1182518407530
1235414aa45b9
1317168172624
14a4793d11c9
155837c10ce3
hex31aaf2405d

213321400413 has 64 divisors (see below), whose sum is σ = 329428270080. Its totient is φ = 121431052800.

The previous prime is 213321400387. The next prime is 213321400417. The reversal of 213321400413 is 314004123312.

It is a happy number.

It is not a de Polignac number, because 213321400413 - 25 = 213321400381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213321400417) 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, 39377281 + ... + 39382697.

It is an arithmetic number, because the mean of its divisors is an integer number (5147316720).

Almost surely, 2213321400413 is an apocalyptic number.

It is an amenable number.

213321400413 is a deficient number, since it is larger than the sum of its proper divisors (116106869667).

213321400413 is a wasteful number, since it uses less digits than its factorization.

213321400413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213321400413 its reverse (314004123312), we get a palindrome (527325523725).

The spelling of 213321400413 in words is "two hundred thirteen billion, three hundred twenty-one million, four hundred thousand, four hundred thirteen".

Divisors: 1 3 11 19 33 57 181 209 347 543 627 1041 1991 3439 3817 5417 5973 6593 10317 11451 16251 19779 37829 59587 62807 72523 102923 113487 178761 188421 217569 308769 690877 980477 1132153 1193333 1879699 2072631 2941431 3396459 3579999 5639097 10785247 13126663 18629063 20676689 32355741 35714281 39379989 55887189 62030067 107142843 204919693 340225519 392857091 614759079 1020676557 1178571273 3742480709 6464284861 11227442127 19392854583 71107133471 213321400413