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10211422320 = 243251121931199
BaseRepresentation
bin10011000001010010…
…11111000001110000
3222100122121000000200
421200221133001300
5131403111003240
64405134115200
7511022441361
oct114051370160
928318530020
1010211422320
114370099800
121b8b94bb00
13c69743838
146cc279b68
153eb721930
hex260a5f070

10211422320 has 720 divisors, whose sum is σ = 41164032000. Its totient is φ = 2258150400.

The previous prime is 10211422259. The next prime is 10211422337. The reversal of 10211422320 is 2322411201.

It is a happy number.

10211422320 is a `hidden beast` number, since 1 + 0 + 211 + 422 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 10211422293 and 10211422302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51313581 + ... + 51313779.

Almost surely, 210211422320 is an apocalyptic number.

10211422320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582016000).

10211422320 is an abundant number, since it is smaller than the sum of its proper divisors (30952609680).

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

10211422320 is a wasteful number, since it uses less digits than its factorization.

10211422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10211422320 its reverse (2322411201), we get a palindrome (12533833521).

The spelling of 10211422320 in words is "ten billion, two hundred eleven million, four hundred twenty-two thousand, three hundred twenty".