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11344313010 = 23517832631019
BaseRepresentation
bin10101001000010110…
…00111101010110010
31002021121022210220010
422210023013222302
5141213121004020
65113403555350
7551060032602
oct124413075262
932247283803
1011344313010
1148a16292a8
12224722bb56
1310ba36c164
147988dac02
15465e02de0
hex2a42c7ab2

11344313010 has 128 divisors (see below), whose sum is σ = 29314897920. Its totient is φ = 2799451136.

The previous prime is 11344313009. The next prime is 11344313017. The reversal of 11344313010 is 1031344311.

It is not an unprimeable number, because it can be changed into a prime (11344313017) 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, 11132281 + ... + 11133299.

It is an arithmetic number, because the mean of its divisors is an integer number (229022640).

Almost surely, 211344313010 is an apocalyptic number.

11344313010 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 11344313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657448960).

11344313010 is an abundant number, since it is smaller than the sum of its proper divisors (17970584910).

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

11344313010 is a wasteful number, since it uses less digits than its factorization.

11344313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11344313010 its reverse (1031344311), we get a palindrome (12375657321).

The spelling of 11344313010 in words is "eleven billion, three hundred forty-four million, three hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 83 85 102 166 170 249 255 263 415 498 510 526 789 830 1019 1245 1315 1411 1578 2038 2490 2630 2822 3057 3945 4233 4471 5095 6114 7055 7890 8466 8942 10190 13413 14110 15285 17323 21165 21829 22355 26826 30570 34646 42330 43658 44710 51969 65487 67065 84577 86615 103938 109145 130974 134130 169154 173230 218290 253731 259845 267997 327435 371093 422885 507462 519690 535994 654870 742186 803991 845770 1113279 1268655 1339985 1437809 1607982 1855465 2226558 2537310 2679970 2875618 3710930 4019955 4313427 4555949 5566395 7189045 8039910 8626854 9111898 11132790 13667847 14378090 21567135 22243751 22779745 27335694 43134270 44487502 45559490 66731253 68339235 111218755 133462506 136678470 222437510 333656265 378143767 667312530 756287534 1134431301 1890718835 2268862602 3781437670 5672156505 11344313010