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131121322224 = 2436734058981
BaseRepresentation
bin111101000011101110…
…0001001100011110000
3110112110001220022112120
41322013130021203300
54122014024302344
6140123012554240
712321210564234
oct1720734114360
9415401808476
10131121322224
1150676628112
12214b4322980
13c4982ac6c9
1464bc3985c4
15362650c219
hex1e877098f0

131121322224 has 40 divisors (see below), whose sum is σ = 339233479632. Its totient is φ = 43642152960.

The previous prime is 131121322147. The next prime is 131121322231. The reversal of 131121322224 is 422223121131.

It is a super-2 number, since 2×1311213222242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131121322194 and 131121322203.

It is a congruent number.

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, 1997187 + ... + 2061794.

Almost surely, 2131121322224 is an apocalyptic number.

It is an amenable number.

131121322224 is an abundant number, since it is smaller than the sum of its proper divisors (208112157408).

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

131121322224 is a wasteful number, since it uses less digits than its factorization.

131121322224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059665 (or 4059659 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 131121322224 its reverse (422223121131), we get a palindrome (553344443355).

The spelling of 131121322224 in words is "one hundred thirty-one billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 673 1346 2019 2692 4038 5384 8076 10768 16152 32304 4058981 8117962 12176943 16235924 24353886 32471848 48707772 64943696 97415544 194831088 2731694213 5463388426 8195082639 10926776852 16390165278 21853553704 32780330556 43707107408 65560661112 131121322224