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211141330240 = 2653531869169
BaseRepresentation
bin1100010010100100000…
…0010000010101000000
3202011222210122220101011
43010221000100111000
511424404140031430
6240555203250304
721153164460241
oct3045100202500
9664883586334
10211141330240
11815a985a545
1234b06979994
1316bab5cb489
14a30da60cc8
15575b62e22a
hex3129010540

211141330240 has 56 divisors (see below), whose sum is σ = 504204869160. Its totient is φ = 84217233408.

The previous prime is 211141330219. The next prime is 211141330259. The reversal of 211141330240 is 42033141112.

It can be written as a sum of positive squares in 4 ways, for example, as 1933888576 + 209207441664 = 43976^2 + 457392^2 .

It is a super-2 number, since 2×2111413302402 (a number of 23 digits) contains 22 as substring.

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, 821625 + ... + 1047544.

Almost surely, 2211141330240 is an apocalyptic number.

211141330240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211141330240 is an abundant number, since it is smaller than the sum of its proper divisors (293063538920).

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

211141330240 is a wasteful number, since it uses less digits than its factorization.

211141330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869539 (or 1869529 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211141330240 its reverse (42033141112), we get a palindrome (253174471352).

The spelling of 211141330240 in words is "two hundred eleven billion, one hundred forty-one million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 353 706 1412 1765 2824 3530 5648 7060 11296 14120 22592 28240 56480 112960 1869169 3738338 7476676 9345845 14953352 18691690 29906704 37383380 59813408 74766760 119626816 149533520 299067040 598134080 659816657 1319633314 2639266628 3299083285 5278533256 6598166570 10557066512 13196333140 21114133024 26392666280 42228266048 52785332560 105570665120 211141330240