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11192240010 = 2357311409419
BaseRepresentation
bin10100110110001110…
…00000011110001010
31001220000011200221210
422123013000132022
5140410203140020
65050332313550
7544232320230
oct123307003612
931800150853
1011192240010
114823800636
1222043128b6
1310949c5833
14782632950
154578b43e0
hex29b1c078a

11192240010 has 128 divisors (see below), whose sum is σ = 30946406400. Its totient is φ = 2537694720.

The previous prime is 11192239999. The next prime is 11192240011. The reversal of 11192240010 is 1004229111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11192240011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26711581 + ... + 26711999.

It is an arithmetic number, because the mean of its divisors is an integer number (241768800).

Almost surely, 211192240010 is an apocalyptic number.

11192240010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11192240010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15473203200).

11192240010 is an abundant number, since it is smaller than the sum of its proper divisors (19754166390).

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

11192240010 is a wasteful number, since it uses less digits than its factorization.

11192240010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11192240010 its reverse (1004229111), we get a palindrome (12196469121).

The spelling of 11192240010 in words is "eleven billion, one hundred ninety-two million, two hundred forty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 311 409 419 622 818 838 933 1227 1257 1555 1866 2045 2095 2177 2454 2514 2863 2933 3110 4090 4190 4354 4665 5726 5866 6135 6285 6531 8589 8799 9330 10885 12270 12570 13062 14315 14665 17178 17598 21770 28630 29330 32655 42945 43995 65310 85890 87990 127199 130309 171371 254398 260618 342742 381597 390927 514113 635995 651545 763194 781854 856855 890393 912163 1028226 1199597 1271990 1303090 1713710 1780786 1824326 1907985 1954635 2399194 2570565 2671179 2736489 3598791 3815970 3909270 4451965 4560815 5141130 5342358 5472978 5997985 7197582 8903930 9121630 11995970 13355895 13682445 17993955 26711790 27364890 35987910 53296381 106592762 159889143 266481905 319778286 373074667 532963810 746149334 799445715 1119224001 1598891430 1865373335 2238448002 3730746670 5596120005 11192240010