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10120431112224 = 253105421157419
BaseRepresentation
bin1001001101000101100010…
…1100111001000000100000
31022211111121020121122010020
42103101120230321000200
52311303120331042344
633305132321433440
72063114501041536
oct223213054710040
938744536548106
1010120431112224
113252061584134
1211754a7a9b880
13585477758484
1426db8d818156
151283c7ba5719
hex93458b39020

10120431112224 has 24 divisors (see below), whose sum is σ = 26566131669840. Its totient is φ = 3373477037376.

The previous prime is 10120431112217. The next prime is 10120431112243. The reversal of 10120431112224 is 42221113402101.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 10120431112194 and 10120431112203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52710578614 + ... + 52710578805.

It is an arithmetic number, because the mean of its divisors is an integer number (1106922152910).

Almost surely, 210120431112224 is an apocalyptic number.

It is an amenable number.

10120431112224 is an abundant number, since it is smaller than the sum of its proper divisors (16445700557616).

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

10120431112224 is a wasteful number, since it uses less digits than its factorization.

10120431112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105421157432 (or 105421157424 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10120431112224 its reverse (42221113402101), we get a palindrome (52341544514325).

The spelling of 10120431112224 in words is "ten trillion, one hundred twenty billion, four hundred thirty-one million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 105421157419 210842314838 316263472257 421684629676 632526944514 843369259352 1265053889028 1686738518704 2530107778056 3373477037408 5060215556112 10120431112224