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210021011001096 = 233293193771038073
BaseRepresentation
bin101111110000001101010011…
…110000011000111100001000
31000112121210221100202202102120
4233300031103300120330020
5210011441012304013341
62022402153121131240
762144342303356101
oct5760152360307410
91015553840682376
10210021011001096
1160a12457523489
121b67b58b789b20
139025b863b1619
1439c10dd40b3a8
1519431dd8a4066
hexbf0353c18f08

210021011001096 has 128 divisors (see below), whose sum is σ = 560739339187200. Its totient is φ = 65405511843840.

The previous prime is 210021011001017. The next prime is 210021011001107. The reversal of 210021011001096 is 690100110120012.

It is a happy number.

It is a super-3 number, since 3×2100210110010963 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 201799116 + ... + 202837188.

It is an arithmetic number, because the mean of its divisors is an integer number (4380776087400).

Almost surely, 2210021011001096 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 210021011001096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280369669593600).

210021011001096 is an abundant number, since it is smaller than the sum of its proper divisors (350718328186104).

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

210021011001096 is a wasteful number, since it uses less digits than its factorization.

210021011001096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047519 (or 1047515 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 210021011001096 in words is "two hundred ten trillion, twenty-one billion, eleven million, one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 1798 2697 3596 5394 7192 9377 10788 18754 21576 28131 37508 56262 75016 112524 225048 271933 290687 543866 581374 815799 872061 1038073 1087732 1162748 1631598 1744122 2076146 2175464 2325496 3114219 3263196 3488244 4152292 6228438 6526392 6976488 8304584 8429923 12456876 16859846 24913752 25289769 30104117 32180263 33719692 50579538 60208234 64360526 67439384 90312351 96540789 101159076 120416468 128721052 180624702 193081578 202318152 240832936 257442104 361249404 386163156 722498808 772326312 933227627 1866455254 2799682881 3732910508 5599365762 7465821016 9734010521 11198731524 19468021042 22397463048 29202031563 38936042084 58404063126 77872084168 116808126252 233616252504 282286305109 301754326151 564572610218 603508652302 846858915327 905262978453 1129145220436 1207017304604 1693717830654 1810525956906 2258290440872 2414034609208 3387435661308 3621051913812 6774871322616 7242103827624 8750875458379 17501750916758 26252626375137 35003501833516 52505252750274 70007003667032 105010505500548 210021011001096