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101341240 = 235711132531
BaseRepresentation
bin1100000101001…
…01100000111000
321001200200001021
412002211200320
5201420404430
614020032224
72340246340
oct602454070
9231620037
10101341240
11522281a0
1229b32674
1317cc3140
14d65dd20
158d6c07a
hex60a5838

101341240 has 128 divisors (see below), whose sum is σ = 306270720. Its totient is φ = 29145600.

The previous prime is 101341237. The next prime is 101341241. The reversal of 101341240 is 42143101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101341241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38775 + ... + 41305.

It is an arithmetic number, because the mean of its divisors is an integer number (2392740).

Almost surely, 2101341240 is an apocalyptic number.

101341240 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 101341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153135360).

101341240 is an abundant number, since it is smaller than the sum of its proper divisors (204929480).

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

101341240 is a wasteful number, since it uses less digits than its factorization.

101341240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101341240 is about 10066.8386298778. The cubic root of 101341240 is about 466.2248357834.

Adding to 101341240 its reverse (42143101), we get a palindrome (143484341).

The spelling of 101341240 in words is "one hundred one million, three hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2531 2860 3080 3640 4004 5005 5062 5720 8008 10010 10124 12655 17717 20020 20248 25310 27841 32903 35434 40040 50620 55682 65806 70868 88585 101240 111364 131612 139205 141736 164515 177170 194887 222728 230321 263224 278410 329030 354340 361933 389774 460642 556820 658060 708680 723866 779548 921284 974435 1113640 1151605 1316120 1447732 1559096 1809665 1842568 1948870 2303210 2533531 2895464 3619330 3897740 4606420 5067062 7238660 7795480 9212840 10134124 12667655 14477320 20268248 25335310 50670620 101341240