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10101200211210 = 235477121421141
BaseRepresentation
bin1001001011111101111001…
…1100110100110100001010
31022202122222000021122100010
42102333132130310310022
52310444224223224320
633252232144452350
72061534105060663
oct222773634646412
938678860248303
1010101200211210
1132449931aa609
12117181b61a0b6
135837015045c4
1426cc8773636a
15127b4e70aae0
hex92fde734d0a

10101200211210 has 96 divisors (see below), whose sum is σ = 25112329502976. Its totient is φ = 2599208214400.

The previous prime is 10101200211197. The next prime is 10101200211241. The reversal of 10101200211210 is 1211200210101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6397240 + ... + 7818380.

It is an arithmetic number, because the mean of its divisors is an integer number (261586765656).

Almost surely, 210101200211210 is an apocalyptic number.

10101200211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101200211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556164751488).

10101200211210 is an abundant number, since it is smaller than the sum of its proper divisors (15011129291766).

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

10101200211210 is a wasteful number, since it uses less digits than its factorization.

10101200211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421340 (or 1421269 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10101200211210 its reverse (1211200210101), we get a palindrome (11312400421311).

The spelling of 10101200211210 in words is "ten trillion, one hundred one billion, two hundred million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 71 94 141 142 213 235 282 355 426 470 705 710 1065 1410 2130 3337 5041 6674 10011 10082 15123 16685 20022 25205 30246 33370 50055 50410 75615 100110 151230 236927 473854 710781 1184635 1421141 1421562 2369270 2842282 3553905 4263423 7105705 7107810 8526846 14211410 21317115 42634230 66793627 100901011 133587254 200380881 201802022 302703033 333968135 400761762 504505055 605406066 667936270 1001904405 1009010110 1513515165 2003808810 3027030330 4742347517 7163971781 9484695034 14227042551 14327943562 21491915343 23711737585 28454085102 35819858905 42983830686 47423475170 71135212755 71639717810 107459576715 142270425510 214919153430 336706673707 673413347414 1010120021121 1683533368535 2020240042242 3367066737070 5050600105605 10101200211210