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11334400420 = 2257312611613
BaseRepresentation
bin10101000111001010…
…10011100110100100
31002020220200012101011
422203211103212210
5141203101303140
65112411312004
7550606546120
oct124345234644
932226605334
1011334400420
114896a78882
122243a4b604
1310b82ab315
1479747a580
154650e5cea
hex2a39539a4

11334400420 has 48 divisors (see below), whose sum is σ = 28080073728. Its totient is φ = 3760721280.

The previous prime is 11334400409. The next prime is 11334400481. The reversal of 11334400420 is 2400443311.

It is a junction number, because it is equal to n+sod(n) for n = 11334400391 and 11334400400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301467 + ... + 1310146.

It is an arithmetic number, because the mean of its divisors is an integer number (585001536).

Almost surely, 211334400420 is an apocalyptic number.

11334400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11334400420 is an abundant number, since it is smaller than the sum of its proper divisors (16745673308).

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

11334400420 is a wasteful number, since it uses less digits than its factorization.

11334400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611660 (or 2611658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11334400420 its reverse (2400443311), we get a palindrome (13734843731).

The spelling of 11334400420 in words is "eleven billion, three hundred thirty-four million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 2611613 5223226 10446452 13058065 18281291 26116130 36562582 52232260 73125164 80960003 91406455 161920006 182812910 323840012 365625820 404800015 566720021 809600030 1133440042 1619200060 2266880084 2833600105 5667200210 11334400420