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101359930 = 2573291019
BaseRepresentation
bin1100000101010…
…10000100111010
321001201121200111
412002222010322
5201422004210
614020254534
72340355000
oct602520472
9231647614
10101359930
1152240241
1229b4144a
1317ccb7b9
14d666a70
158d7288a
hex60aa13a

101359930 has 64 divisors (see below), whose sum is σ = 220320000. Its totient is φ = 33520704.

The previous prime is 101359897. The next prime is 101359939. The reversal of 101359930 is 39953101.

It is a junction number, because it is equal to n+sod(n) for n = 101359892 and 101359901.

It is not an unprimeable number, because it can be changed into a prime (101359939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98961 + ... + 99979.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2101359930 is an apocalyptic number.

101359930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101359930 is an abundant number, since it is smaller than the sum of its proper divisors (118960070).

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

101359930 is a wasteful number, since it uses less digits than its factorization.

101359930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 31.

The square root of 101359930 is about 10067.7668824819. The cubic root of 101359930 is about 466.2534954109.

The spelling of 101359930 in words is "one hundred one million, three hundred fifty-nine thousand, nine hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 343 406 490 686 1015 1019 1421 1715 2030 2038 2842 3430 5095 7105 7133 9947 10190 14210 14266 19894 29551 35665 49735 49931 59102 71330 99470 99862 147755 206857 249655 295510 349517 413714 499310 699034 1034285 1447999 1747585 2068570 2895998 3495170 7239995 10135993 14479990 20271986 50679965 101359930