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21103656024 = 233111932391733
BaseRepresentation
bin10011101001111000…
…000011110001011000
32000110202020210200210
4103221320003301120
5321210013443044
613410032331120
71344653054643
oct235170036130
960422223623
1021103656024
118a4a511140
12410b6a3aa0
131cb4238739
141042ad6a5a
15837ac51b9
hex4e9e03c58

21103656024 has 128 divisors (see below), whose sum is σ = 58129228800. Its totient is φ = 6331637760.

The previous prime is 21103656019. The next prime is 21103656083. The reversal of 21103656024 is 42065630112.

It is a super-2 number, since 2×211036560242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21103655982 and 21103656000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12176662 + ... + 12178394.

It is an arithmetic number, because the mean of its divisors is an integer number (454134600).

Almost surely, 221103656024 is an apocalyptic number.

21103656024 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 21103656024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29064614400).

21103656024 is an abundant number, since it is smaller than the sum of its proper divisors (37025572776).

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

21103656024 is a wasteful number, since it uses less digits than its factorization.

21103656024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 21103656024 in words is "twenty-one billion, one hundred three million, six hundred fifty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 239 264 386 478 579 717 772 956 1158 1434 1544 1733 1912 2123 2316 2629 2868 3466 4246 4632 5199 5258 5736 6369 6932 7887 8492 10398 10516 12738 13864 15774 16984 19063 20796 21032 25476 31548 38126 41592 46127 50952 57189 63096 76252 92254 114378 138381 152504 184508 228756 276762 334469 369016 414187 457512 507397 553524 668938 828374 1003407 1014794 1107048 1242561 1337876 1522191 1656748 2006814 2029588 2485122 2675752 3044382 3313496 3679159 4013628 4059176 4556057 4970244 6088764 7358318 8027256 9112114 9940488 11037477 12177528 13668171 14716636 18224228 22074954 27336342 29433272 36448456 44149908 54672684 79938091 88299816 109345368 159876182 239814273 319752364 479628546 639504728 879319001 959257092 1758638002 1918514184 2637957003 3517276004 5275914006 7034552008 10551828012 21103656024