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21331003100 = 22521181123911
BaseRepresentation
bin10011110111011011…
…010100011011011100
32001001121001020020212
4103313123110123130
5322141214044400
613444353231552
71353413351261
oct236733243334
961047036225
1021331003100
119056882390
1241738625b8
13201c379334
141064d97268
1584ca32335
hex4f76d46dc

21331003100 has 72 divisors (see below), whose sum is σ = 50560680576. Its totient is φ = 7746840000.

The previous prime is 21331003081. The next prime is 21331003123. The reversal of 21331003100 is 130013312.

It is a super-2 number, since 2×213310031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880145 + ... + 904055.

Almost surely, 221331003100 is an apocalyptic number.

21331003100 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 21331003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280340288).

21331003100 is an abundant number, since it is smaller than the sum of its proper divisors (29229677476).

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

21331003100 is a wasteful number, since it uses less digits than its factorization.

21331003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24747 (or 24740 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 21331003100 its reverse (130013312), we get a palindrome (21461016412).

The spelling of 21331003100 in words is "twenty-one billion, three hundred thirty-one million, three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 811 1100 1622 3244 4055 8110 8921 16220 17842 20275 23911 35684 40550 44605 47822 81100 89210 95644 119555 178420 223025 239110 263021 446050 478220 526042 597775 892100 1052084 1195550 1315105 2391100 2630210 5260420 6575525 13151050 19391821 26302100 38783642 77567284 96959105 193918210 213310031 387836420 426620062 484795525 853240124 969591050 1066550155 1939182100 2133100310 4266200620 5332750775 10665501550 21331003100