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21013102144 = 261721136089
BaseRepresentation
bin10011100100011110…
…100111111001000000
32000020102212012010101
4103210132213321000
5321013323232034
613353035412144
71342503264316
oct234436477100
960212765111
1021013102144
118a03391721
1240a52b4054
131c9b551668
141034a840b6
1582eb89514
hex4e47a7e40

21013102144 has 42 divisors (see below), whose sum is σ = 44295013010. Its totient is φ = 9888509952.

The previous prime is 21013102133. The next prime is 21013102157. The reversal of 21013102144 is 44120131012.

It can be written as a sum of positive squares in 3 ways, for example, as 4142209600 + 16870892544 = 64360^2 + 129888^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 549549 + ... + 586540.

Almost surely, 221013102144 is an apocalyptic number.

It is an amenable number.

21013102144 is an abundant number, since it is smaller than the sum of its proper divisors (23281910866).

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

21013102144 is a wasteful number, since it uses less digits than its factorization.

21013102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136135 (or 1136108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21013102144 its reverse (44120131012), we get a palindrome (65133233156).

The spelling of 21013102144 in words is "twenty-one billion, thirteen million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 18496 1136089 2272178 4544356 9088712 18177424 19313513 36354848 38627026 72709696 77254052 154508104 309016208 328329721 618032416 656659442 1236064832 1313318884 2626637768 5253275536 10506551072 21013102144