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11012330340 = 223251115136833
BaseRepresentation
bin10100100000110001…
…01101001101100100
31001102110122100021200
422100120231031210
5140023124032330
65020424242500
7536616156234
oct122030551544
931373570250
1011012330340
11474119a860
122174010430
131066653acb
1476679dcc4
15446bc7a60
hex29062d364

11012330340 has 144 divisors (see below), whose sum is σ = 36683127936. Its totient is φ = 2651904000.

The previous prime is 11012330321. The next prime is 11012330377. The reversal of 11012330340 is 4303321011.

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, 280564 + ... + 317396.

It is an arithmetic number, because the mean of its divisors is an integer number (254743944).

Almost surely, 211012330340 is an apocalyptic number.

11012330340 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 11012330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341563968).

11012330340 is an abundant number, since it is smaller than the sum of its proper divisors (25670797596).

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

11012330340 is a wasteful number, since it uses less digits than its factorization.

11012330340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37010 (or 37005 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11012330340 its reverse (4303321011), we get a palindrome (15315651351).

The spelling of 11012330340 in words is "eleven billion, twelve million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 220 302 330 396 453 495 604 660 755 906 990 1359 1510 1661 1812 1980 2265 2718 3020 3322 4530 4983 5436 6644 6795 8305 9060 9966 13590 14949 16610 19932 24915 27180 29898 33220 36833 49830 59796 73666 74745 99660 110499 147332 149490 184165 220998 298980 331497 368330 405163 441996 552495 662994 736660 810326 1104990 1215489 1325988 1620652 1657485 2025815 2209980 2430978 3314970 3646467 4051630 4861956 5561783 6077445 6629940 7292934 8103260 11123566 12154890 14585868 16685349 18232335 22247132 24309780 27808915 33370698 36464670 50056047 55617830 61179613 66741396 72929340 83426745 100112094 111235660 122359226 166853490 183538839 200224188 244718452 250280235 305898065 333706980 367077678 500560470 550616517 611796130 734155356 917694195 1001120940 1101233034 1223592260 1835388390 2202466068 2753082585 3670776780 5506165170 11012330340