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21110410404 = 2233716314363
BaseRepresentation
bin10011101010010001…
…110100110010100100
32000111012221221222000
4103222101310302210
5321213231113104
613410433205300
71345064346006
oct235221646244
960435857860
1021110410404
118a53304876
124111a00830
131cb5761c05
141043974376
158384ab639
hex4ea474ca4

21110410404 has 96 divisors (see below), whose sum is σ = 55602247680. Its totient is φ = 6925111200.

The previous prime is 21110410369. The next prime is 21110410439. The reversal of 21110410404 is 40401401112.

21110410404 is a `hidden beast` number, since 211 + 1 + 0 + 410 + 40 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21110410369) and next prime (21110410439).

It is a super-2 number, since 2×211104104042 (a number of 21 digits) contains 22 as substring.

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

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, 4836327 + ... + 4840689.

It is an arithmetic number, because the mean of its divisors is an integer number (579190080).

Almost surely, 221110410404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110410404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27801123840).

21110410404 is an abundant number, since it is smaller than the sum of its proper divisors (34491837276).

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

21110410404 is a wasteful number, since it uses less digits than its factorization.

21110410404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21110410404 its reverse (40401401112), we get a palindrome (61511811516).

The spelling of 21110410404 in words is "twenty-one billion, one hundred ten million, four hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 631 639 852 1262 1278 1893 1917 2524 2556 3786 3834 4363 5679 7572 7668 8726 11358 13089 17037 17452 22716 26178 34074 39267 44801 52356 68148 78534 89602 117801 134403 157068 179204 235602 268806 309773 403209 471204 537612 619546 806418 929319 1209627 1239092 1612836 1858638 2419254 2753053 2787957 3717276 4838508 5506106 5575914 8259159 8363871 11012212 11151828 16518318 16727742 24777477 33036636 33455484 49554954 74332431 99109908 148664862 195466763 297329724 390933526 586400289 781867052 1172800578 1759200867 2345601156 3518401734 5277602601 7036803468 10555205202 21110410404