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101220210 = 232571317727
BaseRepresentation
bin1100000100001…
…11111101110010
321001110112000200
412002013331302
5201403021320
614013300030
72336233440
oct602077562
9231415020
10101220210
1152155273
1229a94616
1317c80020
14d62bb90
158d46290
hex6087f72

101220210 has 192 divisors, whose sum is σ = 343429632. Its totient is φ = 20072448.

The previous prime is 101220169. The next prime is 101220233. The reversal of 101220210 is 12022101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101220192 and 101220201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138867 + ... + 139593.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 2101220210 is an apocalyptic number.

101220210 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 101220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816).

101220210 is an abundant number, since it is smaller than the sum of its proper divisors (242209422).

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

101220210 is a wasteful number, since it uses less digits than its factorization.

101220210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101220210 is about 10060.8255128493. The cubic root of 101220210 is about 466.0391605667.

Adding to 101220210 its reverse (12022101), we get a palindrome (113242311).

The spelling of 101220210 in words is "one hundred one million, two hundred twenty thousand, two hundred ten".