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21322113324312 = 23371122271023389
BaseRepresentation
bin1001101100100011100001…
…11111011001010100011000
32210111101002201221020002110
410312101300333121110120
510243320142002334222
6113203124343032320
74330320562610463
oct466216077312430
983441081836073
1021322113324312
116880726118069
12248445073b6a0
13bb888885a658
14539dd26462da
1526e98532230c
hex136470fd9518

21322113324312 has 64 divisors (see below), whose sum is σ = 54060535814400. Its totient is φ = 7006687345280.

The previous prime is 21322113324271. The next prime is 21322113324349. The reversal of 21322113324312 is 21342331122312.

It is a super-2 number, since 2×213221133243122 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21322113324312.

It is a congruent number.

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, 20323114 + ... + 21346502.

It is an arithmetic number, because the mean of its divisors is an integer number (844695872100).

Almost surely, 221322113324312 is an apocalyptic number.

It is an amenable number.

21322113324312 is an abundant number, since it is smaller than the sum of its proper divisors (32738422490088).

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

21322113324312 is a wasteful number, since it uses less digits than its factorization.

21322113324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035696 (or 1035692 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 21322113324312 its reverse (21342331122312), we get a palindrome (42664444446624).

The spelling of 21322113324312 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred thirteen million, three hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 12227 24454 36681 48908 73362 97816 146724 293448 868117 1023389 1736234 2046778 2604351 3070167 3472468 4093556 5208702 6140334 6944936 8187112 10417404 12280668 20834808 24561336 72660619 145321238 217981857 290642476 435963714 581284952 871927428 1743854856 12512977303 25025954606 37538931909 50051909212 75077863818 100103818424 150155727636 300311455272 888421388513 1776842777026 2665264165539 3553685554052 5330528331078 7107371108104 10661056662156 21322113324312