Search a number
-
+
21103311440 = 2452364317837
BaseRepresentation
bin10011101001110110…
…101111101001010000
32000110201121022000102
4103221312233221100
5321204421431230
613410021111532
71344650121221
oct235166575120
960421538012
1021103311440
118a4a2a6262
12410b5585a8
131cb4147943
141042a47248
15837a58045
hex4e9dafa50

21103311440 has 80 divisors (see below), whose sum is σ = 51280967808. Its totient is φ = 8061301248.

The previous prime is 21103311431. The next prime is 21103311443. The reversal of 21103311440 is 4411330112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21103311443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174202 + ... + 1192038.

Almost surely, 221103311440 is an apocalyptic number.

21103311440 is a gapful number since it is divisible by the number (20) 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 21103311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25640483904).

21103311440 is an abundant number, since it is smaller than the sum of its proper divisors (30177656368).

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

21103311440 is a wasteful number, since it uses less digits than its factorization.

21103311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18516 (or 18510 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21103311440 its reverse (4411330112), we get a palindrome (25514641552).

The spelling of 21103311440 in words is "twenty-one billion, one hundred three million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 643 920 1286 1840 2572 3215 5144 6430 10288 12860 14789 17837 25720 29578 35674 51440 59156 71348 73945 89185 118312 142696 147890 178370 236624 285392 295780 356740 410251 591560 713480 820502 1183120 1426960 1641004 2051255 3282008 4102510 6564016 8205020 11469191 16410040 22938382 32820080 45876764 57345955 91753528 114691910 183507056 229383820 263791393 458767640 527582786 917535280 1055165572 1318956965 2110331144 2637913930 4220662288 5275827860 10551655720 21103311440