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2400132013320 = 233520001100111
BaseRepresentation
bin100010111011010011000…
…001000001110100001000
322111110011022211012012010
4202323103001001310020
5303310432243411240
65034334434415520
7335255336333406
oct42732301016410
98443138735163
102400132013320
11845987a4a7a8
123291b34315a0
131454403446b2
148424a3b8476
15426762a1280
hex22ed3041d08

2400132013320 has 32 divisors (see below), whose sum is σ = 7200396040320. Its totient is φ = 640035203520.

The previous prime is 2400132013319. The next prime is 2400132013337. The reversal of 2400132013320 is 233102310042.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10000549936 + ... + 10000550175.

It is an arithmetic number, because the mean of its divisors is an integer number (225012376260).

Almost surely, 22400132013320 is an apocalyptic number.

2400132013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400132013320 is an abundant number, since it is smaller than the sum of its proper divisors (4800264027000).

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

2400132013320 is a wasteful number, since it uses less digits than its factorization.

2400132013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20001100125 (or 20001100121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2400132013320 its reverse (233102310042), we get a palindrome (2633234323362).

The spelling of 2400132013320 in words is "two trillion, four hundred billion, one hundred thirty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 20001100111 40002200222 60003300333 80004400444 100005500555 120006600666 160008800888 200011001110 240013201332 300016501665 400022002220 480026402664 600033003330 800044004440 1200066006660 2400132013320