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21332200321312 = 2529863239311131
BaseRepresentation
bin1001101100110110010100…
…01110001111000100100000
32210112100010201101202122221
410312123022032033010200
510244001321240240222
6113211513314240424
74331125544640136
oct466331216170440
983470121352587
1021332200321312
116884a31a52221
1224863a6886114
13bb9805587c2a
1453a6ac173756
1526ed75b670c7
hex1366ca38f120

21332200321312 has 96 divisors (see below), whose sum is σ = 43518397063680. Its totient is φ = 10281148200960.

The previous prime is 21332200321297. The next prime is 21332200321387. The reversal of 21332200321312 is 21312300223312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1916461987 + ... + 1916473117.

It is an arithmetic number, because the mean of its divisors is an integer number (453316636080).

Almost surely, 221332200321312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21332200321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21759198531840).

21332200321312 is an abundant number, since it is smaller than the sum of its proper divisors (22186196742368).

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

21332200321312 is a wasteful number, since it uses less digits than its factorization.

21332200321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14426 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 21332200321312 its reverse (21312300223312), we get a palindrome (42644500544624).

The spelling of 21332200321312 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 863 928 1726 2393 3452 4786 6904 9572 11131 13808 19144 22262 25027 27616 38288 44524 50054 69397 76576 89048 100108 138794 178096 200216 277588 322799 356192 400432 555176 645598 800864 1110352 1291196 2065159 2220704 2582392 4130318 5164784 8260636 9606053 10329568 16521272 19212106 26636483 33042544 38424212 53272966 59889611 66085088 76848424 106545932 119779222 153696848 213091864 239558444 278575537 307393696 426183728 479116888 557151074 772458007 852367456 958233776 1114302148 1544916014 1916467552 2228604296 3089832028 4457208592 6179664056 8914417184 12359328112 22987284829 24718656224 45974569658 91949139316 183898278632 367796557264 666631260041 735593114528 1333262520082 2666525040164 5333050080328 10666100160656 21332200321312