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210103132200 = 233521322072023
BaseRepresentation
bin1100001110101100011…
…1110110000000101000
3202002022110002222101220
43003223013312000220
511420242400212300
6240304155142040
721115360104633
oct3035307660050
9662273088356
10210103132200
1181116816a35
1234877144920
1316a744a8a00
14a251c0cc1a
1556ea404da0
hex30eb1f6028

210103132200 has 144 divisors (see below), whose sum is σ = 705275529120. Its totient is φ = 51717669120.

The previous prime is 210103132181. The next prime is 210103132207. The reversal of 210103132200 is 2231301012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210103132200.

It is not an unprimeable number, because it can be changed into a prime (210103132207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 934612 + ... + 1137411.

It is an arithmetic number, because the mean of its divisors is an integer number (4897746730).

Almost surely, 2210103132200 is an apocalyptic number.

210103132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210103132200 is an abundant number, since it is smaller than the sum of its proper divisors (495172396920).

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

210103132200 is a wasteful number, since it uses less digits than its factorization.

210103132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072068 (or 2072046 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 210103132200 its reverse (2231301012), we get a palindrome (212334433212).

The spelling of 210103132200 in words is "two hundred ten billion, one hundred three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 169 195 200 260 300 312 325 338 390 507 520 600 650 676 780 845 975 1014 1300 1352 1560 1690 1950 2028 2535 2600 3380 3900 4056 4225 5070 6760 7800 8450 10140 12675 16900 20280 25350 33800 50700 101400 2072023 4144046 6216069 8288092 10360115 12432138 16576184 20720230 24864276 26936299 31080345 41440460 49728552 51800575 53872598 62160690 80808897 82880920 103601150 107745196 124321380 134681495 155401725 161617794 207202300 215490392 248642760 269362990 310803450 323235588 350171887 404044485 414404600 538725980 621606900 646471176 673407475 700343774 808088970 1050515661 1077451960 1243213800 1346814950 1400687548 1616177940 1750859435 2020222425 2101031322 2693629900 2801375096 3232355880 3501718870 4040444850 4202062644 5252578305 5387259800 7003437740 8080889700 8404125288 8754297175 10505156610 14006875480 16161779400 17508594350 21010313220 26262891525 35017188700 42020626440 52525783050 70034377400 105051566100 210103132200