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332121320010 = 234525110091619
BaseRepresentation
bin1001101010100111111…
…10010010101001001010
31011202021002212011010000
410311103332102221022
520420141024220020
6412324024303430
732665163432544
oct4652376225112
91152232764100
10332121320010
11118940910467
125444a911b76
132541b837a3c
14121091c6694
15898c662090
hex4d53f92a4a

332121320010 has 160 divisors (see below), whose sum is σ = 898038187200. Its totient is φ = 88070976000.

The previous prime is 332121319991. The next prime is 332121320017. The reversal of 332121320010 is 10023121233.

332121320010 is a `hidden beast` number, since 3 + 321 + 21 + 320 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×3321213200102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (332121320017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 205138981 + ... + 205140599.

It is an arithmetic number, because the mean of its divisors is an integer number (5612738670).

Almost surely, 2332121320010 is an apocalyptic number.

332121320010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332121320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449019093600).

332121320010 is an abundant number, since it is smaller than the sum of its proper divisors (565916867190).

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

332121320010 is a wasteful number, since it uses less digits than its factorization.

332121320010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332121320010 its reverse (10023121233), we get a palindrome (342144441243).

The spelling of 332121320010 in words is "three hundred thirty-two billion, one hundred twenty-one million, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 251 270 405 502 753 810 1009 1255 1506 1619 2018 2259 2510 3027 3238 3765 4518 4857 5045 6054 6777 7530 8095 9081 9714 10090 11295 13554 14571 15135 16190 18162 20331 22590 24285 27243 29142 30270 33885 40662 43713 45405 48570 54486 67770 72855 81729 87426 90810 101655 131139 136215 145710 163458 203310 218565 253259 262278 272430 406369 408645 437130 506518 655695 759777 812738 817290 1219107 1266295 1311390 1519554 1633571 2031845 2279331 2438214 2532590 3267142 3657321 3798885 4063690 4558662 4900713 6095535 6837993 7314642 7597770 8167855 9801426 10971963 11396655 12191070 13675986 14702139 16335710 18286605 20513979 21943926 22793310 24503565 29404278 32915889 34189965 36573210 41027958 44106417 49007130 54859815 65831778 68379930 73510695 88212834 102569895 109719630 132319251 147021390 164579445 205139790 220532085 264638502 329158890 410026321 441064170 661596255 820052642 1230078963 1323192510 2050131605 2460157926 3690236889 4100263210 6150394815 7380473778 11070710667 12300789630 18451184445 22141421334 33212132001 36902368890 55353553335 66424264002 110707106670 166060660005 332121320010