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21123201420 = 22325176903007
BaseRepresentation
bin10011101011000010…
…100111100110001100
32000112010000210221100
4103223002213212030
5321230014421140
613412011303100
71345311151416
oct235302474614
960463023840
1021123201420
118a5a550962
12411614aa90
131cb82bcc69
1410455439b6
15839686530
hex4eb0a798c

21123201420 has 72 divisors (see below), whose sum is σ = 67842762624. Its totient is φ = 5301508608.

The previous prime is 21123201413. The next prime is 21123201427. The reversal of 21123201420 is 2410232112.

It is a happy number.

21123201420 is a `hidden beast` number, since 2 + 11 + 232 + 0 + 1 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (21123201413) and next prime (21123201427).

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 = 21123201393 and 21123201402.

It is not an unprimeable number, because it can be changed into a prime (21123201427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3448444 + ... + 3454563.

It is an arithmetic number, because the mean of its divisors is an integer number (942260592).

Almost surely, 221123201420 is an apocalyptic number.

21123201420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21123201420 is an abundant number, since it is smaller than the sum of its proper divisors (46719561204).

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

21123201420 is a wasteful number, since it uses less digits than its factorization.

21123201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903039 (or 6903034 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21123201420 its reverse (2410232112), we get a palindrome (23533433532).

The spelling of 21123201420 in words is "twenty-one billion, one hundred twenty-three million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6903007 13806014 20709021 27612028 34515035 41418042 62127063 69030070 82836084 103545105 117351119 124254126 138060140 207090210 234702238 248508252 310635315 352053357 414180420 469404476 586755595 621270630 704106714 1056160071 1173511190 1242541260 1408213428 1760266785 2112320142 2347022380 3520533570 4224640284 5280800355 7041067140 10561600710 21123201420