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10011240240 = 2435794091291
BaseRepresentation
bin10010101001011011…
…10110011100110000
3221211200220200211120
421110231312130300
5131000334141430
64333223342240
7503042065221
oct112455663460
927750820746
1010011240240
1142780a1a71
121b348b1980
13c371246c1
146ad84b248
153d8d7d610
hex254b76730

10011240240 has 160 divisors (see below), whose sum is σ = 31528934400. Its totient is φ = 2627389440.

The previous prime is 10011240227. The next prime is 10011240247. The reversal of 10011240240 is 4204211001.

10011240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100112402402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10011240247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7753995 + ... + 7755285.

It is an arithmetic number, because the mean of its divisors is an integer number (197055840).

Almost surely, 210011240240 is an apocalyptic number.

10011240240 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 10011240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764467200).

10011240240 is an abundant number, since it is smaller than the sum of its proper divisors (21517694160).

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

10011240240 is a wasteful number, since it uses less digits than its factorization.

10011240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10011240240 its reverse (4204211001), we get a palindrome (14215451241).

The spelling of 10011240240 in words is "ten billion, eleven million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 409 474 632 790 818 948 1185 1227 1264 1291 1580 1636 1896 2045 2370 2454 2582 3160 3272 3792 3873 4090 4740 4908 5164 6135 6320 6455 6544 7746 8180 9480 9816 10328 12270 12910 15492 16360 18960 19365 19632 20656 24540 25820 30984 32311 32720 38730 49080 51640 61968 64622 77460 96933 98160 101989 103280 129244 154920 161555 193866 203978 258488 305967 309840 323110 387732 407956 484665 509945 516976 528019 611934 646220 775464 815912 969330 1019890 1056038 1223868 1292440 1529835 1550928 1584057 1631824 1938660 2039780 2112076 2447736 2584880 2640095 3059670 3168114 3877320 4079560 4224152 4895472 5280190 6119340 6336228 7754640 7920285 8159120 8448304 10560380 12238680 12672456 15840570 21120760 24477360 25344912 31681140 41713501 42241520 63362280 83427002 125140503 126724560 166854004 208567505 250281006 333708008 417135010 500562012 625702515 667416016 834270020 1001124024 1251405030 1668540040 2002248048 2502810060 3337080080 5005620120 10011240240