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11330230120 = 2351134774209
BaseRepresentation
bin10101000110101010…
…11001011101101000
31002020121211022210121
422203111121131220
5141201014330440
65112142053024
7550526236606
oct124325313550
932217738717
1011330230120
11489468a650
12224257a174
1310b747b0a1
14796ab2876
15464a7034a
hex2a3559768

11330230120 has 64 divisors (see below), whose sum is σ = 27891086400. Its totient is φ = 4108154880.

The previous prime is 11330230117. The next prime is 11330230127. The reversal of 11330230120 is 2103203311.

11330230120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113302301202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11330230094 and 11330230103.

It is not an unprimeable number, because it can be changed into a prime (11330230127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115576 + ... + 189784.

It is an arithmetic number, because the mean of its divisors is an integer number (435798225).

Almost surely, 211330230120 is an apocalyptic number.

11330230120 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 11330230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13945543200).

11330230120 is an abundant number, since it is smaller than the sum of its proper divisors (16560856280).

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

11330230120 is a wasteful number, since it uses less digits than its factorization.

11330230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74578 (or 74574 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11330230120 its reverse (2103203311), we get a palindrome (13433433431).

The spelling of 11330230120 in words is "eleven billion, three hundred thirty million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 347 440 694 1388 1735 2776 3470 3817 6940 7634 13880 15268 19085 30536 38170 74209 76340 148418 152680 296836 371045 593672 742090 816299 1484180 1632598 2968360 3265196 4081495 6530392 8162990 16325980 25750523 32651960 51501046 103002092 128752615 206004184 257505230 283255753 515010460 566511506 1030020920 1133023012 1416278765 2266046024 2832557530 5665115060 11330230120