Search a number
-
+
10223212213120 = 275111714300599
BaseRepresentation
bin1001010011000100011011…
…1011101011001110000000
31100012022220020101112120211
42110301012323223032000
52314444114311304440
633424251233243504
72103413505013114
oct224610673531600
940168806345524
1010223212213120
113291704859525
1211913b1103594
135920774a8b3a
14274b3dd7d744
1512ade1144eea
hex94c46eeb380

10223212213120 has 64 divisors (see below), whose sum is σ = 24461748324000. Its totient is φ = 4085623646208.

The previous prime is 10223212213073. The next prime is 10223212213139. The reversal of 10223212213120 is 2131221232201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10223212213091 and 10223212213100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6435420 + ... + 7865179.

Almost surely, 210223212213120 is an apocalyptic number.

10223212213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223212213120 is an abundant number, since it is smaller than the sum of its proper divisors (14238536110880).

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

10223212213120 is a wasteful number, since it uses less digits than its factorization.

10223212213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14301735 (or 14301723 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10223212213120 its reverse (2131221232201), we get a palindrome (12354433445321).

The spelling of 10223212213120 in words is "ten trillion, two hundred twenty-three billion, two hundred twelve million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1117 2234 4468 5585 8936 11170 17872 22340 35744 44680 71488 89360 142976 178720 357440 714880 14300599 28601198 57202396 71502995 114404792 143005990 228809584 286011980 457619168 572023960 915238336 1144047920 1830476672 2288095840 4576191680 9152383360 15973769083 31947538166 63895076332 79868845415 127790152664 159737690830 255580305328 319475381660 511160610656 638950763320 1022321221312 1277901526640 2044642442624 2555803053280 5111606106560 10223212213120