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21110200144 = 2411229376001
BaseRepresentation
bin10011101010010001…
…000001011101010000
32000111012120021112121
4103222101001131100
5321213202401034
613410424504024
71345062512005
oct235221013520
960435507477
1021110200144
118a53180900
12411191b014
131cb56ba2b7
14104391b8ac
158384691b4
hex4ea441750

21110200144 has 60 divisors (see below), whose sum is σ = 46507687380. Its totient is φ = 9264640000.

The previous prime is 21110200129. The next prime is 21110200159. The reversal of 21110200144 is 44100201112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21110200129) and next prime (21110200159).

It can be written as a sum of positive squares in 2 ways, for example, as 12119367744 + 8990832400 = 110088^2 + 94820^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131857 + ... + 244144.

It is an arithmetic number, because the mean of its divisors is an integer number (775128123).

Almost surely, 221110200144 is an apocalyptic number.

It is an amenable number.

21110200144 is an abundant number, since it is smaller than the sum of its proper divisors (25397487236).

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

21110200144 is a wasteful number, since it uses less digits than its factorization.

21110200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376060 (or 376043 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21110200144 its reverse (44100201112), we get a palindrome (65210401256).

The spelling of 21110200144 in words is "twenty-one billion, one hundred ten million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 968 1276 1936 2552 3509 5104 7018 14036 28072 56144 376001 752002 1504004 3008008 4136011 6016016 8272022 10904029 16544044 21808058 33088088 43616116 45496121 66176176 87232232 90992242 119944319 174464464 181984484 239888638 363968968 479777276 727937936 959554552 1319387509 1919109104 2638775018 5277550036 10555100072 21110200144