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11330040420 = 2232579778977
BaseRepresentation
bin10101000110101001…
…01011001001100100
31002020121110200120200
422203110223021210
5141200442243140
65112134030500
7550524516546
oct124324531144
932217420520
1011330040420
114894570076
1222424a8430
1310b741293a
14796a63696
15464a34030
hex2a352b264

11330040420 has 72 divisors (see below), whose sum is σ = 34411346424. Its totient is φ = 3017515008.

The previous prime is 11330040401. The next prime is 11330040431. The reversal of 11330040420 is 2404003311.

It can be written as a sum of positive squares in 4 ways, for example, as 4620464676 + 6709575744 = 67974^2 + 81912^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11330040393 and 11330040402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103972 + ... + 182948.

It is an arithmetic number, because the mean of its divisors is an integer number (477935367).

Almost surely, 211330040420 is an apocalyptic number.

11330040420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330040420 is an abundant number, since it is smaller than the sum of its proper divisors (23081306004).

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

11330040420 is a wasteful number, since it uses less digits than its factorization.

11330040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79789 (or 79784 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11330040420 its reverse (2404003311), we get a palindrome (13734043731).

The spelling of 11330040420 in words is "eleven billion, three hundred thirty million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 797 1594 2391 3188 3985 4782 7173 7970 9564 11955 14346 15940 23910 28692 35865 47820 71730 78977 143460 157954 236931 315908 394885 473862 710793 789770 947724 1184655 1421586 1579540 2369310 2843172 3553965 4738620 7107930 14215860 62944669 125889338 188834007 251778676 314723345 377668014 566502021 629446690 755336028 944170035 1133004042 1258893380 1888340070 2266008084 2832510105 3776680140 5665020210 11330040420