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20212133300 = 22523128123203
BaseRepresentation
bin10010110100101111…
…001010110110110100
31221011121200202102122
4102310233022312310
5312343301231200
613141344055112
71313606204222
oct226457126664
957147622378
1020212133300
1186322499a7
123b01004498
131ba161c7b8
14d9a545b12
157d46c0385
hex4b4bcadb4

20212133300 has 72 divisors (see below), whose sum is σ = 45438258432. Its totient is φ = 7795872000.

The previous prime is 20212133297. The next prime is 20212133351. The reversal of 20212133300 is 333121202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859499 + ... + 882701.

Almost surely, 220212133300 is an apocalyptic number.

20212133300 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 20212133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719129216).

20212133300 is an abundant number, since it is smaller than the sum of its proper divisors (25226125132).

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

20212133300 is a wasteful number, since it uses less digits than its factorization.

20212133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23529 (or 23522 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20212133300 its reverse (333121202), we get a palindrome (20545254502).

The spelling of 20212133300 in words is "twenty billion, two hundred twelve million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 281 310 562 620 775 1124 1405 1550 2810 3100 5620 7025 8711 14050 17422 23203 28100 34844 43555 46406 87110 92812 116015 174220 217775 232030 435550 464060 580075 719293 871100 1160150 1438586 2320300 2877172 3596465 6520043 7192930 13040086 14385860 17982325 26080172 32600215 35964650 65200430 71929300 130400860 163001075 202121333 326002150 404242666 652004300 808485332 1010606665 2021213330 4042426660 5053033325 10106066650 20212133300