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21210022100 = 2252594218539
BaseRepresentation
bin10011110000001101…
…110100000011010100
32000202011101202112002
4103300031310003110
5321414231201400
613424352214432
71350414133061
oct236015640324
960664352462
1021210022100
118aa4560593
12413b23a418
13200029aa47
141052ca3c68
158420d5ed5
hex4f03740d4

21210022100 has 72 divisors (see below), whose sum is σ = 46922517600. Its totient is φ = 8319427200.

The previous prime is 21210022081. The next prime is 21210022109. The reversal of 21210022100 is 122001212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210022109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2479631 + ... + 2488169.

Almost surely, 221210022100 is an apocalyptic number.

21210022100 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 21210022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23461258800).

21210022100 is an abundant number, since it is smaller than the sum of its proper divisors (25712495500).

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

21210022100 is a wasteful number, since it uses less digits than its factorization.

21210022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9033 (or 9026 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21210022100 its reverse (122001212), we get a palindrome (21332023312).

The spelling of 21210022100 in words is "twenty-one billion, two hundred ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 421 590 842 1180 1475 1684 2105 2950 4210 5900 8420 8539 10525 17078 21050 24839 34156 42100 42695 49678 85390 99356 124195 170780 213475 248390 426950 496780 503801 620975 853900 1007602 1241950 2015204 2483900 2519005 3594919 5038010 7189838 10076020 12595025 14379676 17974595 25190050 35949190 50380100 71898380 89872975 179745950 212100221 359491900 424200442 848400884 1060501105 2121002210 4242004420 5302505525 10605011050 21210022100