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101213010 = 2335412223
BaseRepresentation
bin1100000100001…
…10001101010010
321001110011011000
412002012031102
5201402304020
614013202430
72336203443
oct602061522
9231404130
10101213010
115214a918
1229a90416
1317c79972
14d6292ca
158d44090
hex6086352

101213010 has 96 divisors (see below), whose sum is σ = 277885440. Its totient is φ = 26213760.

The previous prime is 101213003. The next prime is 101213017. The reversal of 101213010 is 10312101.

It is an interprime number because it is at equal distance from previous prime (101213003) and next prime (101213017).

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 = 101212983 and 101213001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453759 + ... + 453981.

It is an arithmetic number, because the mean of its divisors is an integer number (2894640).

Almost surely, 2101213010 is an apocalyptic number.

101213010 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 101213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138942720).

101213010 is an abundant number, since it is smaller than the sum of its proper divisors (176672430).

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

101213010 is a wasteful number, since it uses less digits than its factorization.

101213010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101213010 is about 10060.4676829658. The cubic root of 101213010 is about 466.0281101993.

Adding to 101213010 its reverse (10312101), we get a palindrome (111525111).

Subtracting from 101213010 its reverse (10312101), we obtain a palindrome (90900909).

It can be divided in two parts, 10121 and 3010, that added together give a palindrome (13131).

The spelling of 101213010 in words is "one hundred one million, two hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 223 246 270 369 410 446 615 669 738 1107 1115 1230 1338 1681 1845 2007 2214 2230 3345 3362 3690 4014 5043 5535 6021 6690 8405 9143 10035 10086 11070 12042 15129 16810 18286 20070 25215 27429 30105 30258 45387 45715 50430 54858 60210 75645 82287 90774 91430 137145 151290 164574 226935 246861 274290 374863 411435 453870 493722 749726 822870 1124589 1234305 1874315 2249178 2468610 3373767 3748630 5622945 6747534 10121301 11245890 16868835 20242602 33737670 50606505 101213010