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21340442100 = 2235276992503
BaseRepresentation
bin10011110111111111…
…010100110111110100
32001002020210210010110
4103313333110313310
5322201123121400
613445331423020
71353556523235
oct236777246764
961066723113
1021340442100
11906113a00a
124176a54a70
132021302743
14106633308c
1584d798e50
hex4f7fd4df4

21340442100 has 72 divisors (see below), whose sum is σ = 61825973440. Its totient is φ = 5683322880.

The previous prime is 21340442099. The next prime is 21340442119. The reversal of 21340442100 is 124404312.

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, 184449 + ... + 276951.

Almost surely, 221340442100 is an apocalyptic number.

21340442100 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 21340442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30912986720).

21340442100 is an abundant number, since it is smaller than the sum of its proper divisors (40485531340).

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

21340442100 is a wasteful number, since it uses less digits than its factorization.

21340442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93289 (or 93282 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21340442100 its reverse (124404312), we get a palindrome (21464846412).

The spelling of 21340442100 in words is "twenty-one billion, three hundred forty million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 769 1538 2307 3076 3845 4614 7690 9228 11535 15380 19225 23070 38450 46140 57675 76900 92503 115350 185006 230700 277509 370012 462515 555018 925030 1110036 1387545 1850060 2312575 2775090 4625150 5550180 6937725 9250300 13875450 27750900 71134807 142269614 213404421 284539228 355674035 426808842 711348070 853617684 1067022105 1422696140 1778370175 2134044210 3556740350 4268088420 5335110525 7113480700 10670221050 21340442100