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101021211606 = 23719794633461
BaseRepresentation
bin101111000010101010…
…1010101101111010110
3100122202100020021012210
41132011111111233112
53123342412232411
6114224123054250
710204254062550
oct1360525255726
9318670207183
10101021211606
113992a927537
12176b3971386
1396ac265673
144c649304d0
152963c0aca6
hex1785555bd6

101021211606 has 128 divisors (see below), whose sum is σ = 246738124800. Its totient is φ = 26931864960.

The previous prime is 101021211601. The next prime is 101021211623. The reversal of 101021211606 is 606112120101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021211601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29186716 + ... + 29190176.

It is an arithmetic number, because the mean of its divisors is an integer number (1927641600).

Almost surely, 2101021211606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021211606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123369062400).

101021211606 is an abundant number, since it is smaller than the sum of its proper divisors (145716913194).

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

101021211606 is a wasteful number, since it uses less digits than its factorization.

101021211606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101021211606 its reverse (606112120101), we get a palindrome (707133331707).

The spelling of 101021211606 in words is "one hundred one billion, twenty-one million, two hundred eleven thousand, six hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 79 114 133 158 237 266 399 463 474 553 798 926 1106 1389 1501 1659 2778 3002 3241 3318 3461 4503 6482 6922 8797 9006 9723 10383 10507 17594 19446 20766 21014 24227 26391 31521 36577 48454 52782 61579 63042 65759 72681 73154 109731 123158 131518 145362 184737 197277 219462 256039 273419 369474 394554 460313 512078 546838 694963 768117 820257 920626 1380939 1389926 1536234 1602443 1640514 1913933 2084889 2761878 3204886 3827866 4169778 4807329 4864741 5194961 5741799 9614658 9729482 10389922 11217101 11483598 14594223 15584883 22434202 29188446 30446417 31169766 33651303 36364727 60892834 67302606 72729454 91339251 109094181 126592997 182678502 213124919 218188362 253185994 379778991 426249838 639374757 759557982 886150979 1278749514 1772301958 2405266943 2658452937 4810533886 5316905874 7215800829 14431601658 16836868601 33673737202 50510605803 101021211606