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20212001424 = 2432197712493
BaseRepresentation
bin10010110100101110…
…101010101010010000
31221011121110001112100
4102310232222222100
5312343233021144
613141341200400
71313605114566
oct226456525220
957147401470
1020212001424
11863216990a
123b00b60100
131ba15a4774
14d9a50da36
157d4696269
hex4b4baaa90

20212001424 has 60 divisors (see below), whose sum is σ = 56852746236. Its totient is φ = 6703124736.

The previous prime is 20212001419. The next prime is 20212001429. The reversal of 20212001424 is 42410021202.

20212001424 is a `hidden beast` number, since 20 + 21 + 200 + 1 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (20212001419) and next prime (20212001429).

It can be written as a sum of positive squares in 2 ways, for example, as 17045913600 + 3166087824 = 130560^2 + 56268^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20212001397 and 20212001406.

It is not an unprimeable number, because it can be changed into a prime (20212001429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327879 + ... + 384614.

Almost surely, 220212001424 is an apocalyptic number.

20212001424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20212001424 is an abundant number, since it is smaller than the sum of its proper divisors (36640744812).

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

20212001424 is a wasteful number, since it uses less digits than its factorization.

20212001424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712704 (or 712695 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20212001424 its reverse (42410021202), we get a palindrome (62622022626).

The spelling of 20212001424 in words is "twenty billion, two hundred twelve million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 9456 14184 28368 712493 1424986 2137479 2849972 4274958 5699944 6412437 8549916 11399888 12824874 17099832 25649748 34199664 51299496 102598992 140361121 280722242 421083363 561444484 842166726 1122888968 1263250089 1684333452 2245777936 2526500178 3368666904 5053000356 6737333808 10106000712 20212001424