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210021101010096 = 243103101514184809
BaseRepresentation
bin101111110000001101011001…
…000111101111110010110000
31000112121211011122010200120020
4233300031121013233302300
5210011441203324310341
62022402210054243440
762144344445420025
oct5760153107576260
91015554148120506
10210021101010096
1160a124a3310592
121b67b5b5956580
139025b9bc3769c
1439c110b35b54c
1519431e6733566
hexbf03591efcb0

210021101010096 has 80 divisors (see below), whose sum is σ = 547876128683520. Its totient is φ = 69320507558400.

The previous prime is 210021101010047. The next prime is 210021101010131. The reversal of 210021101010096 is 690010101120012.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 48094140 + ... + 52278948.

It is an arithmetic number, because the mean of its divisors is an integer number (6848451608544).

Almost surely, 2210021101010096 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 210021101010096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273938064341760).

210021101010096 is an abundant number, since it is smaller than the sum of its proper divisors (337855027673424).

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

210021101010096 is a wasteful number, since it uses less digits than its factorization.

210021101010096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195074 (or 4195068 counting only the distinct ones).

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

The spelling of 210021101010096 in words is "two hundred ten trillion, twenty-one billion, one hundred one million, ten thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 10151 20302 30453 40604 60906 81208 121812 162416 243624 487248 1045553 2091106 3136659 4182212 4184809 6273318 8364424 8369618 12546636 12554427 16728848 16739236 25093272 25108854 33478472 50186544 50217708 66956944 100435416 200870832 431035327 862070654 1293105981 1724141308 2586211962 3448282616 5172423924 6896565232 10344847848 20689695696 42479996159 84959992318 127439988477 169919984636 254879976954 339839969272 509759953908 679679938544 1019519907816 2039039815632 4375439604377 8750879208754 13126318813131 17501758417508 26252637626262 35003516835016 52505275252524 70007033670032 105010550505048 210021101010096