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211211134040 = 23511346728127
BaseRepresentation
bin1100010010110100101…
…0100010010001011000
3202012011200000022012002
43010231022202101120
511430030022242130
6241010135340132
721155003005664
oct3045512422130
9665150008162
10211211134040
11816351a7135
1234b26221648
1316bbcbcb8ba
14a3190318a4
15576281bb45
hex312d2a2458

211211134040 has 32 divisors (see below), whose sum is σ = 479430593280. Its totient is φ = 83736801792.

The previous prime is 211211134031. The next prime is 211211134051. The reversal of 211211134040 is 40431112112.

It is a super-2 number, since 2×2112111340402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23359544 + ... + 23368583.

It is an arithmetic number, because the mean of its divisors is an integer number (14982206040).

Almost surely, 2211211134040 is an apocalyptic number.

211211134040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211134040 is an abundant number, since it is smaller than the sum of its proper divisors (268219459240).

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

211211134040 is a wasteful number, since it uses less digits than its factorization.

211211134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46728251 (or 46728247 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211211134040 its reverse (40431112112), we get a palindrome (251642246152).

The spelling of 211211134040 in words is "two hundred eleven billion, two hundred eleven million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 46728127 93456254 186912508 233640635 373825016 467281270 934562540 1869125080 5280278351 10560556702 21121113404 26401391755 42242226808 52802783510 105605567020 211211134040