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101233020 = 2235734919
BaseRepresentation
bin1100000100010…
…11000101111100
321001111011121010
412002023011330
5201403424040
614013435220
72336316000
oct602130574
9231434533
10101233020
1152163959
1229a9bb10
1317c85ac5
14d632700
158d49e80
hex608b17c

101233020 has 96 divisors (see below), whose sum is σ = 330624000. Its totient is φ = 23134272.

The previous prime is 101233019. The next prime is 101233037. The reversal of 101233020 is 20332101.

It is a happy number.

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 = 101232987 and 101233005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18121 + ... + 23039.

It is an arithmetic number, because the mean of its divisors is an integer number (3444000).

Almost surely, 2101233020 is an apocalyptic number.

101233020 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 101233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165312000).

101233020 is an abundant number, since it is smaller than the sum of its proper divisors (229390980).

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

101233020 is a wasteful number, since it uses less digits than its factorization.

101233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4952 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 101233020 is about 10061.4621203879. The cubic root of 101233020 is about 466.0588197165.

Adding to 101233020 its reverse (20332101), we get a palindrome (121565121).

The spelling of 101233020 in words is "one hundred one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 4919 5145 6860 9838 10290 14757 19676 20580 24595 29514 34433 49190 59028 68866 73785 98380 103299 137732 147570 172165 206598 241031 295140 344330 413196 482062 516495 688660 723093 964124 1032990 1205155 1446186 1687217 2065980 2410310 2892372 3374434 3615465 4820620 5061651 6748868 7230930 8436085 10123302 14461860 16872170 20246604 25308255 33744340 50616510 101233020