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11342402010 = 23257310117093
BaseRepresentation
bin10101001000000111…
…10101000111011010
31002021110201201111100
422210003311013122
5141212123331020
65113255012230
7551034553302
oct124403650732
932243651440
1011342402010
1148a0543565
12224666a076
1310b9b503a4
14798560602
15465b76a90
hex2a40f51da

11342402010 has 96 divisors (see below), whose sum is σ = 30191969808. Its totient is φ = 2953497600.

The previous prime is 11342402009. The next prime is 11342402017. The reversal of 11342402010 is 1020424311.

It can be written as a sum of positive squares in 8 ways, for example, as 8693138169 + 2649263841 = 93237^2 + 51471^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11342402017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655024 + ... + 672116.

Almost surely, 211342402010 is an apocalyptic number.

11342402010 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 11342402010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095984904).

11342402010 is an abundant number, since it is smaller than the sum of its proper divisors (18849567798).

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

11342402010 is a wasteful number, since it uses less digits than its factorization.

11342402010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17280 (or 17277 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11342402010 its reverse (1020424311), we get a palindrome (12362826321).

The spelling of 11342402010 in words is "eleven billion, three hundred forty-two million, four hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 101 146 202 219 303 365 438 505 606 657 730 909 1010 1095 1314 1515 1818 2190 3030 3285 4545 6570 7373 9090 14746 17093 22119 34186 36865 44238 51279 66357 73730 85465 102558 110595 132714 153837 170930 221190 256395 307674 331785 512790 663570 769185 1247789 1538370 1726393 2495578 3452786 3743367 5179179 6238945 7486734 8631965 10358358 11230101 12477890 15537537 17263930 18716835 22460202 25895895 31075074 37433670 51791790 56150505 77687685 112301010 126026689 155375370 252053378 378080067 630133445 756160134 1134240201 1260266890 1890400335 2268480402 3780800670 5671201005 11342402010