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1012404224 = 2121319013
BaseRepresentation
bin111100010110000…
…001000000000000
32121120000110111202
4330112001000000
54033133413344
6244243200332
734042202546
oct7426010000
92546013452
101012404224
1147a526307
122430760a8
13131991170
1498659d96
155dd3194e
hex3c581000

1012404224 has 52 divisors (see below), whose sum is σ = 2180411436. Its totient is φ = 467238912.

The previous prime is 1012404221. The next prime is 1012404241. The reversal of 1012404224 is 4224042101.

It can be written as a sum of positive squares in 2 ways, for example, as 40960000 + 971444224 = 6400^2 + 31168^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1012404196 and 1012404205.

It is not an unprimeable number, because it can be changed into a prime (1012404221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43742 + ... + 62754.

Almost surely, 21012404224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090205718).

1012404224 is an abundant number, since it is smaller than the sum of its proper divisors (1168007212).

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

1012404224 is an equidigital number, since it uses as much as digits as its factorization.

1012404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19050 (or 19028 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1012404224 is about 31818.3001431566. The cubic root of 1012404224 is about 1004.1177620951.

Adding to 1012404224 its reverse (4224042101), we get a palindrome (5236446325).

The spelling of 1012404224 in words is "one billion, twelve million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 13312 19013 26624 38026 53248 76052 152104 247169 304208 494338 608416 988676 1216832 1977352 2433664 3954704 4867328 7909408 9734656 15818816 19469312 31637632 38938624 63275264 77877248 126550528 253101056 506202112 1012404224