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101213220 = 223579131163
BaseRepresentation
bin1100000100001…
…10010000100100
321001110011102210
412002012100210
5201402310340
614013203420
72336204163
oct602062044
9231404383
10101213220
115214aa99
1229a90570
1317c79aa4
14d6293da
158d44180
hex6086424

101213220 has 96 divisors (see below), whose sum is σ = 290949120. Its totient is φ = 26282880.

The previous prime is 101213207. The next prime is 101213227. The reversal of 101213220 is 22312101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101213196 and 101213205.

It is not an unprimeable number, because it can be changed into a prime (101213227) 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, 620859 + ... + 621021.

It is an arithmetic number, because the mean of its divisors is an integer number (3030720).

Almost surely, 2101213220 is an apocalyptic number.

101213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145474560).

101213220 is an abundant number, since it is smaller than the sum of its proper divisors (189735900).

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

101213220 is a wasteful number, since it uses less digits than its factorization.

101213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101213220 is about 10060.4781198510. The cubic root of 101213220 is about 466.0284325091.

Adding to 101213220 its reverse (22312101), we get a palindrome (123525321).

The spelling of 101213220 in words is "one hundred one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 131 158 163 237 262 316 326 393 395 474 489 524 652 655 786 790 815 948 978 1185 1310 1572 1580 1630 1956 1965 2370 2445 2620 3260 3930 4740 4890 7860 9780 10349 12877 20698 21353 25754 31047 38631 41396 42706 51508 51745 62094 64059 64385 77262 85412 103490 106765 124188 128118 128770 154524 155235 193155 206980 213530 256236 257540 310470 320295 386310 427060 620940 640590 772620 1281180 1686887 3373774 5060661 6747548 8434435 10121322 16868870 20242644 25303305 33737740 50606610 101213220