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21015002304 = 2632115331643
BaseRepresentation
bin10011100100100101…
…110111110011000000
32000020120102201122200
4103210211313303000
5321014320033204
613353144233200
71342525400202
oct234445676300
960216381580
1021015002304
118a0446a2aa
1240a5a6b800
131c9ba6850a
14103501a772
1582ee12539
hex4e4977cc0

21015002304 has 84 divisors (see below), whose sum is σ = 60289857576. Its totient is φ = 6998704128.

The previous prime is 21015002297. The next prime is 21015002311. The reversal of 21015002304 is 40320051012.

21015002304 is a `hidden beast` number, since 210 + 150 + 0 + 2 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (21015002297) and next prime (21015002311).

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

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 11 ways as a sum of consecutive naturals, for example, 648307 + ... + 679949.

Almost surely, 221015002304 is an apocalyptic number.

21015002304 is a gapful number since it is divisible by the number (24) 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 21015002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30144928788).

21015002304 is an abundant number, since it is smaller than the sum of its proper divisors (39274855272).

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

21015002304 is a wasteful number, since it uses less digits than its factorization.

21015002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32814 (or 32801 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 21015002304 its reverse (40320051012), we get a palindrome (61335053316).

The spelling of 21015002304 in words is "twenty-one billion, fifteen million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1153 2306 3459 4612 6918 9224 10377 13836 18448 20754 27672 31643 36896 41508 55344 63286 73792 83016 94929 110688 126572 166032 189858 221376 253144 284787 332064 379716 506288 569574 664128 759432 1012576 1139148 1518864 2025152 2278296 3037728 4556592 6075456 9113184 18226368 36484379 72968758 109453137 145937516 218906274 291875032 328359411 437812548 583750064 656718822 875625096 1167500128 1313437644 1751250192 2335000256 2626875288 3502500384 5253750576 7005000768 10507501152 21015002304