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2102130102312 = 2333591171140863
BaseRepresentation
bin11110100101110000101…
…101111101000000101000
321102221222001122121021000
4132211300231331000220
5233420130301233222
64245412155315000
7304605513023262
oct36456055750050
97387861577230
102102130102312
11740565705319
1229b4a714ba60
131232cb471386
1473a5a794b32
1539a342289ac
hex1e970b7d028

2102130102312 has 128 divisors (see below), whose sum is σ = 5943333888000. Its totient is φ = 688240463040.

The previous prime is 2102130102311. The next prime is 2102130102343. The reversal of 2102130102312 is 2132010312012.

2102130102312 is a `hidden beast` number, since 210 + 2 + 130 + 10 + 2 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2102130102311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14852793 + ... + 14993655.

It is an arithmetic number, because the mean of its divisors is an integer number (46432296000).

Almost surely, 22102130102312 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 2102130102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971666944000).

2102130102312 is an abundant number, since it is smaller than the sum of its proper divisors (3841203785688).

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

2102130102312 is a wasteful number, since it uses less digits than its factorization.

2102130102312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142108 (or 142098 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2102130102312 its reverse (2132010312012), we get a palindrome (4234140414324).

The spelling of 2102130102312 in words is "two trillion, one hundred two billion, one hundred thirty million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1171 1416 1593 2124 2342 3186 3513 4248 4684 6372 7026 9368 10539 12744 14052 21078 28104 31617 42156 63234 69089 84312 126468 138178 140863 207267 252936 276356 281726 414534 422589 552712 563452 621801 829068 845178 1126904 1243602 1267767 1658136 1690356 1865403 2487204 2535534 3380712 3730806 3803301 4974408 5071068 7461612 7606602 8310917 10142136 14923224 15213204 16621834 24932751 30426408 33243668 49865502 66487336 74798253 99731004 149596506 164950573 199462008 224394759 299193012 329901146 448789518 494851719 598386024 659802292 897579036 989703438 1319604584 1484555157 1795158072 1979406876 2969110314 3958813752 4453665471 5938220628 8907330942 9732083807 11876441256 17814661884 19464167614 29196251421 35629323768 38928335228 58392502842 77856670456 87588754263 116785005684 175177508526 233570011368 262766262789 350355017052 525532525578 700710034104 1051065051156 2102130102312