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101244520 = 23513217881
BaseRepresentation
bin1100000100011…
…01111001101000
321001111202101001
412002031321220
5201404311040
614014004344
72336364346
oct602157150
9231452331
10101244520
1152171563
1229aa66b4
1317c8b100
14d636996
158d4d59a
hex608de68

101244520 has 96 divisors (see below), whose sum is σ = 261477720. Its totient is φ = 35143680.

The previous prime is 101244511. The next prime is 101244523. The reversal of 101244520 is 25442101.

It can be written as a sum of positive squares in 12 ways, for example, as 964324 + 100280196 = 982^2 + 10014^2 .

It is not an unprimeable number, because it can be changed into a prime (101244523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114480 + ... + 115360.

Almost surely, 2101244520 is an apocalyptic number.

101244520 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 101244520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130738860).

101244520 is an abundant number, since it is smaller than the sum of its proper divisors (160233200).

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

101244520 is a wasteful number, since it uses less digits than its factorization.

101244520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 101244520 is about 10062.0335916752. The cubic root of 101244520 is about 466.0764670332.

Adding to 101244520 its reverse (25442101), we get a palindrome (126686621).

The spelling of 101244520 in words is "one hundred one million, two hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 169 170 221 260 338 340 442 520 676 680 845 881 884 1105 1352 1690 1762 1768 2210 2873 3380 3524 4405 4420 5746 6760 7048 8810 8840 11453 11492 14365 14977 17620 22906 22984 28730 29954 35240 45812 57265 57460 59908 74885 91624 114530 114920 119816 148889 149770 194701 229060 297778 299540 389402 458120 595556 599080 744445 778804 973505 1191112 1488890 1557608 1947010 2531113 2977780 3894020 5062226 5955560 7788040 10124452 12655565 20248904 25311130 50622260 101244520