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21322120213332 = 22323251182184287
BaseRepresentation
bin1001101100100011100010…
…11001101011001101010100
32210111101010012220020001100
410312101301121223031110
510243320200233311312
6113203125150430100
74330321005302211
oct466216131531524
983441105806040
1021322120213332
116880729aa2974
122484452b02330
13bb888a1001b3
14539dd351ab08
1526e985c335dc
hex13647166b354

21322120213332 has 36 divisors (see below), whose sum is σ = 53914160716416. Its totient is φ = 7105187154000.

The previous prime is 21322120213253. The next prime is 21322120213343. The reversal of 21322120213332 is 23331202122312.

21322120213332 is a `hidden beast` number, since 2 + 1 + 322 + 1 + 2 + 0 + 2 + 1 + 3 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 21322120213296 and 21322120213305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90975108 + ... + 91209179.

It is an arithmetic number, because the mean of its divisors is an integer number (1497615575456).

Almost surely, 221322120213332 is an apocalyptic number.

It is an amenable number.

21322120213332 is an abundant number, since it is smaller than the sum of its proper divisors (32592040503084).

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

21322120213332 is a wasteful number, since it uses less digits than its factorization.

21322120213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182187548 (or 182187543 counting only the distinct ones).

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

Adding to 21322120213332 its reverse (23331202122312), we get a palindrome (44653322335644).

The spelling of 21322120213332 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred twenty million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3251 6502 9753 13004 19506 29259 39012 58518 117036 182184287 364368574 546552861 728737148 1093105722 1639658583 2186211444 3279317166 6558634332 592281117037 1184562234074 1776843351111 2369124468148 3553686702222 5330530053333 7107373404444 10661060106666 21322120213332