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211142011410 = 2325111069119949
BaseRepresentation
bin1100010010100100001…
…0110110101000010010
3202011222211221111202200
43010221002312220102
511424404323331120
6240555230024030
721153203325201
oct3045102665022
9664884844680
10211142011410
11815aa1852a0
1234b07048016
1316bab7a9535
14a30db9b238
15575b715e90
hex31290b6a12

211142011410 has 96 divisors (see below), whose sum is σ = 598961563200. Its totient is φ = 51178588800.

The previous prime is 211142011403. The next prime is 211142011427. The reversal of 211142011410 is 14110241112.

211142011410 is a `hidden beast` number, since 211 + 1 + 42 + 0 + 1 + 1 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10574116 + ... + 10594064.

It is an arithmetic number, because the mean of its divisors is an integer number (6239182950).

Almost surely, 2211142011410 is an apocalyptic number.

211142011410 is an abundant number, since it is smaller than the sum of its proper divisors (387819551790).

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

211142011410 is a wasteful number, since it uses less digits than its factorization.

211142011410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30664 (or 30661 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211142011410 its reverse (14110241112), we get a palindrome (225252252522).

It can be divided in two parts, 2111420 and 11410, that added together give a triangular number (2122830 = T2060).

The spelling of 211142011410 in words is "two hundred eleven billion, one hundred forty-two million, eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 10691 19949 21382 32073 39898 53455 59847 64146 96219 99745 106910 117601 119694 160365 179541 192438 199490 219439 235202 299235 320730 352803 359082 438878 481095 588005 598470 658317 705606 897705 962190 1058409 1097195 1176010 1316634 1764015 1795410 1974951 2116818 2194390 3291585 3528030 3949902 5292045 6583170 9874755 10584090 19749510 213274759 426549518 639824277 1066373795 1279648554 1919472831 2132747590 2346022349 3199121385 3838945662 4692044698 6398242770 7038067047 9597364155 11730111745 14076134094 19194728310 21114201141 23460223490 35190335235 42228402282 70380670470 105571005705 211142011410