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21113013024 = 2532236434957
BaseRepresentation
bin10011101010011011…
…110000001100100000
32000111101212012002100
4103222123300030200
5321214412404044
613411005050400
71345125435555
oct235233601440
960441765070
1021113013024
118a548221a4
124112856a00
131cb616371c
141044050a2c
15838822869
hex4ea6f0320

21113013024 has 144 divisors (see below), whose sum is σ = 62760664512. Its totient is φ = 6719860224.

The previous prime is 21113013013. The next prime is 21113013037. The reversal of 21113013024 is 42031031112.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 21113012988 and 21113013006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4256754 + ... + 4261710.

It is an arithmetic number, because the mean of its divisors is an integer number (435837948).

Almost surely, 221113013024 is an apocalyptic number.

21113013024 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 21113013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31380332256).

21113013024 is an abundant number, since it is smaller than the sum of its proper divisors (41647651488).

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

21113013024 is a wasteful number, since it uses less digits than its factorization.

21113013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5639 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21113013024 its reverse (42031031112), we get a palindrome (63144044136).

The spelling of 21113013024 in words is "twenty-one billion, one hundred thirteen million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 643 736 828 1104 1286 1656 1929 2208 2572 3312 3858 4957 5144 5787 6624 7716 9914 10288 11574 14789 14871 15432 19828 20576 23148 29578 29742 30864 39656 44367 44613 46296 59156 59484 61728 79312 88734 89226 92592 114011 118312 118968 133101 158624 177468 178452 185184 228022 236624 237936 266202 342033 354936 356904 456044 473248 475872 532404 684066 709872 713808 912088 1026099 1064808 1368132 1419744 1427616 1824176 2052198 2129616 2736264 3187351 3648352 4104396 4259232 5472528 6374702 8208792 9562053 10945056 12749404 16417584 19124106 25498808 28686159 32835168 38248212 50997616 57372318 73309073 76496424 101995232 114744636 146618146 152992848 219927219 229489272 293236292 305985696 439854438 458978544 586472584 659781657 879708876 917957088 1172945168 1319563314 1759417752 2345890336 2639126628 3518835504 5278253256 7037671008 10556506512 21113013024