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21122430444 = 223231107176887
BaseRepresentation
bin10011101010111111…
…101011010111101100
32000112001120122100200
4103222333223113230
5321224320233234
613411542553500
71345301460603
oct235277532754
960461518320
1021122430444
118a5a074695
124115a38890
131cb80b006b
1410453c2a3a
15839582d99
hex4eafeb5ec

21122430444 has 72 divisors (see below), whose sum is σ = 55630568448. Its totient is φ = 6749969760.

The previous prime is 21122430383. The next prime is 21122430451. The reversal of 21122430444 is 44403422112.

21122430444 is a `hidden beast` number, since 211 + 2 + 2 + 4 + 3 + 0 + 444 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30969 + ... + 207855.

It is an arithmetic number, because the mean of its divisors is an integer number (772646784).

Almost surely, 221122430444 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 21122430444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27815284224).

21122430444 is an abundant number, since it is smaller than the sum of its proper divisors (34508138004).

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

21122430444 is a wasteful number, since it uses less digits than its factorization.

21122430444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177035 (or 177030 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21122430444 its reverse (44403422112), we get a palindrome (65525852556).

The spelling of 21122430444 in words is "twenty-one billion, one hundred twenty-two million, four hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 107 124 186 214 279 321 372 428 558 642 963 1116 1284 1926 3317 3852 6634 9951 13268 19902 29853 39804 59706 119412 176887 353774 530661 707548 1061322 1591983 2122644 3183966 5483497 6367932 10966994 16450491 18926909 21933988 32900982 37853818 49351473 56780727 65801964 75707636 98702946 113561454 170342181 197405892 227122908 340684362 586734179 681368724 1173468358 1760202537 2346936716 3520405074 5280607611 7040810148 10561215222 21122430444