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21320311100 = 22521140947389
BaseRepresentation
bin10011110110110010…
…100010000100111100
32001000211221000120212
4103312302202010330
5322130444423400
613443332131552
71353223440254
oct236662420474
961024830525
1021320311100
11905083a320
124170166bb8
13201a0a47ca
1410637b2964
1584bb1e335
hex4f6ca213c

21320311100 has 72 divisors (see below), whose sum is σ = 50595459600. Its totient is φ = 7733721600.

The previous prime is 21320311093. The next prime is 21320311123. The reversal of 21320311100 is 111302312.

It is a congruent number.

It is an unprimeable number.

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, 426206 + ... + 473594.

Almost surely, 221320311100 is an apocalyptic number.

21320311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25297729800).

21320311100 is an abundant number, since it is smaller than the sum of its proper divisors (29275148500).

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

21320311100 is a wasteful number, since it uses less digits than its factorization.

21320311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47823 (or 47816 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21320311100 its reverse (111302312), we get a palindrome (21431613412).

The spelling of 21320311100 in words is "twenty-one billion, three hundred twenty million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 409 550 818 1100 1636 2045 4090 4499 8180 8998 10225 17996 20450 22495 40900 44990 47389 89980 94778 112475 189556 224950 236945 449900 473890 521279 947780 1042558 1184725 2085116 2369450 2606395 4738900 5212790 10425580 13031975 19382101 26063950 38764202 52127900 77528404 96910505 193821010 213203111 387642020 426406222 484552525 852812444 969105050 1066015555 1938210100 2132031110 4264062220 5330077775 10660155550 21320311100