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211330211100 = 223521574486841
BaseRepresentation
bin1100010011010001000…
…0110001110100011100
3202012110222002001012120
43010310100301310130
511430301013223400
6241030031502540
721160650104301
oct3046420616434
9665428061176
10211330211100
1181696438528
1234b5a087a50
1316c0b7916b8
14a32ab8b0a8
15576ceddca0
hex3134431d1c

211330211100 has 72 divisors (see below), whose sum is σ = 615343459248. Its totient is φ = 55995763200.

The previous prime is 211330211093. The next prime is 211330211119. The reversal of 211330211100 is 1112033112.

It is a happy number.

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 211330211100.

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, 2196321 + ... + 2290520.

It is an arithmetic number, because the mean of its divisors is an integer number (8546436934).

Almost surely, 2211330211100 is an apocalyptic number.

211330211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211330211100 is an abundant number, since it is smaller than the sum of its proper divisors (404013248148).

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

211330211100 is a wasteful number, since it uses less digits than its factorization.

211330211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487015 (or 4487008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 211330211100 its reverse (1112033112), we get a palindrome (212442244212).

The spelling of 211330211100 in words is "two hundred eleven billion, three hundred thirty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 3140 3925 4710 7850 9420 11775 15700 23550 47100 4486841 8973682 13460523 17947364 22434205 26921046 44868410 53842092 67302615 89736820 112171025 134605230 224342050 269210460 336513075 448684100 673026150 704434037 1346052300 1408868074 2113302111 2817736148 3522170185 4226604222 7044340370 8453208444 10566510555 14088680740 17610850925 21133021110 35221701850 42266042220 52832552775 70443403700 105665105550 211330211100