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21332201231322 = 2334314896169909
BaseRepresentation
bin1001101100110110010100…
…10001101101001111011010
32210112100010210002222222000
410312123022101231033122
510244001322003400242
6113211513345541430
74331125555450212
oct466331221551732
983470123088860
1021332201231322
116884a325139a3
1224863a7044876
13bb98058161b7
1453a6ac32d242
1526ed75c96a4c
hex1366ca46d3da

21332201231322 has 64 divisors (see below), whose sum is σ = 48539915952000. Its totient is φ = 6940702266624.

The previous prime is 21332201231267. The next prime is 21332201231353. The reversal of 21332201231322 is 22313210223312.

21332201231322 is a `hidden beast` number, since 2 + 1 + 3 + 322 + 0 + 1 + 2 + 313 + 22 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372504 + ... + 6542412.

It is an arithmetic number, because the mean of its divisors is an integer number (758436186750).

Almost surely, 221332201231322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21332201231322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269957976000).

21332201231322 is an abundant number, since it is smaller than the sum of its proper divisors (27207714720678).

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

21332201231322 is a wasteful number, since it uses less digits than its factorization.

21332201231322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171452 (or 6171446 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21332201231322 its reverse (22313210223312), we get a palindrome (43645411454634).

The spelling of 21332201231322 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred one million, two hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 1489 2322 2978 4467 8934 13401 26802 40203 64027 80406 128054 192081 384162 576243 1152486 1728729 3457458 6169909 12339818 18509727 37019454 55529181 111058362 166587543 265306087 333175086 530612174 795918261 1591836522 2387754783 4775509566 7163264349 9186994501 14326528698 18373989002 27560983503 55121967006 82682950509 165365901018 248048851527 395040763543 496097703054 790081527086 1185122290629 2370244581258 3555366871887 7110733743774 10666100615661 21332201231322