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240232042100 = 225241271216211
BaseRepresentation
bin1101111110111011110…
…0100000111001110100
3211222002011222011220202
43133232330200321310
512413443400321400
6302205554220032
723233113444251
oct3375674407164
9758064864822
10240232042100
11929777a7976
123a685284618
131986649734b
14b8ad412428
1563b04e44d5
hex37eef20e74

240232042100 has 72 divisors (see below), whose sum is σ = 535991277696. Its totient is φ = 93402720000.

The previous prime is 240232042097. The next prime is 240232042117. The reversal of 240232042100 is 1240232042.

It is a super-2 number, since 2×2402320421002 (a number of 24 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002995 + ... + 1219205.

Almost surely, 2240232042100 is an apocalyptic number.

240232042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240232042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267995638848).

240232042100 is an abundant number, since it is smaller than the sum of its proper divisors (295759235596).

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

240232042100 is a wasteful number, since it uses less digits than its factorization.

240232042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216537 (or 216530 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 240232042100 its reverse (1240232042), we get a palindrome (241472274142).

The spelling of 240232042100 in words is "two hundred forty billion, two hundred thirty-two million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 271 410 542 820 1025 1084 1355 2050 2710 4100 5420 6775 11111 13550 22222 27100 44444 55555 111110 216211 222220 277775 432422 555550 864844 1081055 1111100 2162110 4324220 5405275 8864651 10810550 17729302 21621100 35458604 44323255 58593181 88646510 117186362 177293020 221616275 234372724 292965905 443232550 585931810 886465100 1171863620 1464829525 2402320421 2929659050 4804640842 5859318100 9609281684 12011602105 24023204210 48046408420 60058010525 120116021050 240232042100