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21082007310 = 23571323713257
BaseRepresentation
bin10011101000100101…
…011110011100001110
32000102020111221020120
4103220211132130032
5321133443213220
613403540325410
71344301051110
oct235045363416
960366457216
1021082007310
118a39275141
1241043a3866
131cac8c8a50
14103dc9d3b0
15835c4aa40
hex4e895e70e

21082007310 has 128 divisors (see below), whose sum is σ = 62318398464. Its totient is φ = 4444830720.

The previous prime is 21082007279. The next prime is 21082007347. The reversal of 21082007310 is 1370028012.

It is a super-2 number, since 2×210820073102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6471202 + ... + 6474458.

It is an arithmetic number, because the mean of its divisors is an integer number (486862488).

Almost surely, 221082007310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21082007310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31159199232).

21082007310 is an abundant number, since it is smaller than the sum of its proper divisors (41236391154).

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

21082007310 is a wasteful number, since it uses less digits than its factorization.

21082007310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5658.

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 21082007310 in words is "twenty-one billion, eighty-two million, seven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2371 2730 3257 4742 6514 7113 9771 11855 14226 16285 16597 19542 22799 23710 30823 32570 33194 35565 42341 45598 48855 49791 61646 68397 71130 82985 84682 92469 97710 99582 113995 127023 136794 154115 165970 184938 211705 215761 227990 248955 254046 296387 308230 341985 423410 431522 462345 497910 592774 635115 647283 683970 889161 924690 1078805 1270230 1294566 1481935 1778322 2157610 2963870 3236415 4445805 6472830 7722347 8891610 15444694 23167041 38611735 46334082 54056429 77223470 100390511 108112858 115835205 162169287 200781022 231670410 270282145 301171533 324338574 501952555 540564290 602343066 702733577 810846435 1003905110 1405467154 1505857665 1621692870 2108200731 3011715330 3513667885 4216401462 7027335770 10541003655 21082007310