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101424040 = 23517149153
BaseRepresentation
bin1100000101110…
…01101110101000
321001211212121221
412002321232220
5201431032130
614021511424
72341042624
oct602715650
9231755557
10101424040
1152284423
1229b72574
1318021a33
14d682184
158d8687a
hex60b9ba8

101424040 has 32 divisors (see below), whose sum is σ = 241629480. Its totient is φ = 38182912.

The previous prime is 101424031. The next prime is 101424077. The reversal of 101424040 is 40424101.

It can be written as a sum of positive squares in 4 ways, for example, as 71808676 + 29615364 = 8474^2 + 5442^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73897 + ... + 75256.

Almost surely, 2101424040 is an apocalyptic number.

101424040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101424040 is an abundant number, since it is smaller than the sum of its proper divisors (140205440).

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

101424040 is a wasteful number, since it uses less digits than its factorization.

101424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149181 (or 149177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 101424040 is about 10070.9503027271. The cubic root of 101424040 is about 466.3517762328.

Adding to 101424040 its reverse (40424101), we get a palindrome (141848141).

The spelling of 101424040 in words is "one hundred one million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 149153 298306 596612 745765 1193224 1491530 2535601 2983060 5071202 5966120 10142404 12678005 20284808 25356010 50712020 101424040