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240113204331 = 3711133719311197
BaseRepresentation
bin1101111110011111011…
…1001011110001101011
3211221202220100121010220
43133213313023301223
512413222440014311
6302150111141123
723230141363410
oct3374767136153
9757686317126
10240113204331
119291670a340
123a6515147a3
1319847989440
14b89b71a107
1563a4d6d206
hex37e7dcbc6b

240113204331 has 128 divisors (see below), whose sum is σ = 443797702656. Its totient is φ = 111436922880.

The previous prime is 240113204267. The next prime is 240113204339. The reversal of 240113204331 is 133402311042.

It is a happy number.

It is not a de Polignac number, because 240113204331 - 26 = 240113204267 is a prime.

It is a super-2 number, since 2×2401132043312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240113204339) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21438825 + ... + 21450021.

It is an arithmetic number, because the mean of its divisors is an integer number (3467169552).

Almost surely, 2240113204331 is an apocalyptic number.

240113204331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

240113204331 is a deficient number, since it is larger than the sum of its proper divisors (203684498325).

240113204331 is a wasteful number, since it uses less digits than its factorization.

240113204331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11461.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 240113204331 its reverse (133402311042), we get a palindrome (373515515373).

It can be divided in two parts, 240113 and 204331, that added together give a palindrome (444444).

The spelling of 240113204331 in words is "two hundred forty billion, one hundred thirteen million, two hundred four thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 193 231 259 273 407 429 481 579 777 1001 1221 1351 1443 2123 2509 2849 3003 3367 4053 5291 6369 7141 7527 8547 10101 11197 14861 15873 17563 21423 27599 33591 37037 44583 49987 52689 78379 78551 82797 92833 111111 123167 145561 149961 193193 235137 235653 278499 369501 414289 436683 549857 579579 649831 862169 1018927 1021163 1242867 1601171 1649571 1949493 2161021 2586507 2900023 3056781 3063489 4557179 4803513 5385757 6483063 7148141 8700069 11208197 13671537 15127147 16157271 21444423 23771231 28093273 31900253 33624591 37700299 45381441 59243327 71313693 79957777 84279819 95700759 113100897 166398617 177729981 196652911 239873331 309026003 414703289 499195851 559704439 589958733 879535547 927078009 1039451101 1244109867 1679113317 2163182021 2638606641 3118353303 6156748829 6489546063 7276157707 11433962111 18470246487 21828473121 34301886333 80037734777 240113204331