Search a number
-
+
210011312200032 = 25327293592147513
BaseRepresentation
bin101111110000000100010001…
…101010011001100101100000
31000112120212220102202121120100
4233300010101222121211200
5210011311131410400112
62022353510454142400
762143550044046130
oct5760042152314540
91015525812677510
10210011312200032
1160a0932a831712
121b679723651a00
139024c9bc21895
1439c085d290ac0
151942d221902dc
hexbf0111a99960

210011312200032 has 144 divisors (see below), whose sum is σ = 706072515351840. Its totient is φ = 57934155073536.

The previous prime is 210011312199917. The next prime is 210011312200037. The reversal of 210011312200032 is 230002213110012.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 210011312199978 and 210011312200014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011312200037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1796015293 + ... + 1796132220.

It is an arithmetic number, because the mean of its divisors is an integer number (4903281356610).

Almost surely, 2210011312200032 is an apocalyptic number.

It is an amenable number.

210011312200032 is an abundant number, since it is smaller than the sum of its proper divisors (496061203151808).

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

210011312200032 is a wasteful number, since it uses less digits than its factorization.

210011312200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592147565 (or 3592147554 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 210011312200032 its reverse (230002213110012), we get a palindrome (440013525310044).

The spelling of 210011312200032 in words is "two hundred ten trillion, eleven billion, three hundred twelve million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 29232 58464 3592147513 7184295026 10776442539 14368590052 21552885078 25145032591 28737180104 32329327617 43105770156 50290065182 57474360208 64658655234 75435097773 86211540312 100580130364 104172277877 114948720416 129317310468 150870195546 172423080624 201160260728 208344555754 226305293319 258634620936 301740391092 312516833631 344846161248 402320521456 416689111508 452610586638 517269241872 603480782184 625033667262 729205945139 804641042912 833378223016 905221173276 937550500893 1034538483744 1206961564368 1250067334524 1458411890278 1666756446032 1810442346552 1875101001786 2187617835417 2413923128736 2500134669048 2916823780556 3333512892064 3620884693104 3750202003572 4375235670834 5000269338096 5833647561112 6562853506251 7241769386208 7500404007144 8750471341668 10000538676192 11667295122224 13125707012502 15000808014288 17500942683336 23334590244448 26251414025004 30001616028576 35001885366672 52502828050008 70003770733344 105005656100016 210011312200032