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211243240120 = 235113712975629
BaseRepresentation
bin1100010010111100010…
…1000000101010111000
3202012020220102110110011
43010233011000222320
511430111232140440
6241013243431304
721155542625503
oct3045705005270
9665226373404
10211243240120
1181651335990
1234b34b25534
1316bc6760393
14a31d3cc13a
15576555e9ea
hex312f140ab8

211243240120 has 64 divisors (see below), whose sum is σ = 532519855200. Its totient is φ = 74739617280.

The previous prime is 211243240097. The next prime is 211243240177. The reversal of 211243240120 is 21042342112.

It is a super-2 number, since 2×2112432401202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211243240091 and 211243240100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6471535 + ... + 6504094.

Almost surely, 2211243240120 is an apocalyptic number.

211243240120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211243240120 is an abundant number, since it is smaller than the sum of its proper divisors (321276615080).

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

211243240120 is a wasteful number, since it uses less digits than its factorization.

211243240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12975688 (or 12975684 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 211243240120 its reverse (21042342112), we get a palindrome (232285582232).

The spelling of 211243240120 in words is "two hundred eleven billion, two hundred forty-three million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 8140 16280 12975629 25951258 51902516 64878145 103805032 129756290 142731919 259512580 285463838 480098273 519025160 570927676 713659595 960196546 1141855352 1427319190 1920393092 2400491365 2854638380 3840786184 4800982730 5281081003 5709276760 9601965460 10562162006 19203930920 21124324012 26405405015 42248648024 52810810030 105621620060 211243240120