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11341412010 = 23252336714929
BaseRepresentation
bin10101001000000000…
…00011011010101010
31002021101212102110200
422210000003122222
5141211400141020
65113221453030
7551023261065
oct124400033252
932241772420
1011341412010
11489aa27785
122246271176
1310b98948a6
147983838dc
15465a2d590
hex2a40036aa

11341412010 has 96 divisors (see below), whose sum is σ = 30855651840. Its totient is φ = 2884806144.

The previous prime is 11341412009. The next prime is 11341412029. The reversal of 11341412010 is 1021414311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752226 + ... + 767154.

It is an arithmetic number, because the mean of its divisors is an integer number (321413040).

Almost surely, 211341412010 is an apocalyptic number.

11341412010 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 11341412010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427825920).

11341412010 is an abundant number, since it is smaller than the sum of its proper divisors (19514239830).

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

11341412010 is a wasteful number, since it uses less digits than its factorization.

11341412010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15332 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11341412010 its reverse (1021414311), we get a palindrome (12362826321).

The spelling of 11341412010 in words is "eleven billion, three hundred forty-one million, four hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 367 414 690 734 1035 1101 1835 2070 2202 3303 3670 5505 6606 8441 11010 14929 16515 16882 25323 29858 33030 42205 44787 50646 74645 75969 84410 89574 126615 134361 149290 151938 223935 253230 268722 343367 379845 447870 671805 686734 759690 1030101 1343610 1716835 2060202 3090303 3433670 5150505 5478943 6180606 10301010 10957886 15451515 16436829 27394715 30903030 32873658 49310487 54789430 82184145 98620974 126015689 164368290 246552435 252031378 378047067 493104870 630078445 756094134 1134141201 1260156890 1890235335 2268282402 3780470670 5670706005 11341412010