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11330213102040 = 2335713488348931
BaseRepresentation
bin1010010011100000010101…
…0100111100000111011000
31111010011021000212022110210
42210320011110330013120
52441113234023231130
640033010020211120
72246403146221410
oct244700524740730
944104230768423
1011330213102040
113679130a10a28
12132ba55539aa0
1364258580b821
142b2557155640
15149ad15385b0
hexa4e0553c1d8

11330213102040 has 64 divisors (see below), whose sum is σ = 38846444924160. Its totient is φ = 2589762994560.

The previous prime is 11330213102017. The next prime is 11330213102041. The reversal of 11330213102040 is 4020131203311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11330213101998 and 11330213102016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330213102041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6744173626 + ... + 6744175305.

It is an arithmetic number, because the mean of its divisors is an integer number (606975701940).

Almost surely, 211330213102040 is an apocalyptic number.

11330213102040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330213102040 is an abundant number, since it is smaller than the sum of its proper divisors (27516231822120).

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

11330213102040 is a wasteful number, since it uses less digits than its factorization.

11330213102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13488348952 (or 13488348948 counting only the distinct ones).

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

Adding to 11330213102040 its reverse (4020131203311), we get a palindrome (15350344305351).

The spelling of 11330213102040 in words is "eleven trillion, three hundred thirty billion, two hundred thirteen million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 13488348931 26976697862 40465046793 53953395724 67441744655 80930093586 94418442517 107906791448 134883489310 161860187172 188836885034 202325233965 269766978620 283255327551 323720374344 377673770068 404650467930 472092212585 539533957240 566510655102 755347540136 809300935860 944184425170 1133021310204 1416276637755 1618601871720 1888368850340 2266042620408 2832553275510 3776737700680 5665106551020 11330213102040