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20100132300 = 223521914472437
BaseRepresentation
bin10010101110000011…
…111010110111001100
31220212210221111221110
4102232003322313030
5312131113213200
613122303332020
71311046206543
oct225603726714
956783844843
1020100132300
118585000996
123a8b5b1010
131b84366711
14d8970d15a
157c9949b50
hex4ae0fadcc

20100132300 has 144 divisors (see below), whose sum is σ = 61284688640. Its totient is φ = 5072336640.

The previous prime is 20100132277. The next prime is 20100132313. The reversal of 20100132300 is 323100102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 8246682 + ... + 8249118.

Almost surely, 220100132300 is an apocalyptic number.

20100132300 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 20100132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30642344320).

20100132300 is an abundant number, since it is smaller than the sum of its proper divisors (41184556340).

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

20100132300 is a wasteful number, since it uses less digits than its factorization.

20100132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20100132300 its reverse (323100102), we get a palindrome (20423232402).

The spelling of 20100132300 in words is "twenty billion, one hundred million, one hundred thirty-two thousand, three 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 1447 1900 2437 2850 2894 4341 4874 5700 5788 7235 7311 8682 9748 12185 14470 14622 17364 21705 24370 27493 28940 29244 36175 36555 43410 46303 48740 54986 60925 72350 73110 82479 86820 92606 108525 109972 121850 137465 138909 144700 146220 164958 182775 185212 217050 231515 243700 274930 277818 329916 365550 412395 434100 463030 549860 555636 687325 694545 731100 824790 926060 1157575 1374650 1389090 1649580 2061975 2315150 2749300 2778180 3472725 3526339 4123950 4630300 6945450 7052678 8247900 10579017 13890900 14105356 17631695 21158034 35263390 42316068 52895085 67000441 70526780 88158475 105790170 134000882 176316950 201001323 211580340 264475425 268001764 335002205 352633900 402002646 528950850 670004410 804005292 1005006615 1057901700 1340008820 1675011025 2010013230 3350022050 4020026460 5025033075 6700044100 10050066150 20100132300