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21332210100 = 22352193742493
BaseRepresentation
bin10011110111011111…
…111011000110110100
32001001200022112221120
4103313133323012310
5322142021210400
613444435143540
71353426536235
oct236737730664
961050275846
1021332210100
119057527203
124174144bb0
13201c6ac836
1410651cd08c
1584cbbeca0
hex4f77fb1b4

21332210100 has 72 divisors (see below), whose sum is σ = 64969695840. Its totient is φ = 5389188480.

The previous prime is 21332210099. The next prime is 21332210111. The reversal of 21332210100 is 101223312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21332210100.

It is a congruent number.

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, 1865547 + ... + 1876946.

Almost surely, 221332210100 is an apocalyptic number.

21332210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21332210100 is an abundant number, since it is smaller than the sum of its proper divisors (43637485740).

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

21332210100 is a wasteful number, since it uses less digits than its factorization.

21332210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742529 (or 3742522 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21332210100 its reverse (101223312), we get a palindrome (21433433412).

The spelling of 21332210100 in words is "twenty-one billion, three hundred thirty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 3742493 7484986 11227479 14969972 18712465 22454958 37424930 44909916 56137395 71107367 74849860 93562325 112274790 142214734 187124650 213322101 224549580 280686975 284429468 355536835 374249300 426644202 561373950 711073670 853288404 1066610505 1122747900 1422147340 1777684175 2133221010 3555368350 4266442020 5333052525 7110736700 10666105050 21332210100