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240020241102 = 23229241386719
BaseRepresentation
bin1101111110001001010…
…0100011101011001110
3211221112102102120120100
43133202110203223032
512413030140203402
6302132550431530
723224632246525
oct3374224435316
9757472376510
10240020241102
1192879194724
123a6263625a6
131983163a805
14b88d23b4bc
15639bb0871c
hex37e2523ace

240020241102 has 72 divisors (see below), whose sum is σ = 551732650560. Its totient is φ = 75363603840.

The previous prime is 240020241077. The next prime is 240020241161. The reversal of 240020241102 is 201142020042.

240020241102 is a `hidden beast` number, since 2 + 400 + 20 + 241 + 1 + 0 + 2 = 666.

It is a super-2 number, since 2×2400202411022 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 427299 + ... + 814017.

It is an arithmetic number, because the mean of its divisors is an integer number (7662953480).

Almost surely, 2240020241102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240020241102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275866325280).

240020241102 is an abundant number, since it is smaller than the sum of its proper divisors (311712409458).

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

240020241102 is a wasteful number, since it uses less digits than its factorization.

240020241102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386826 (or 386794 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 240020241102 its reverse (201142020042), we get a palindrome (441162261144).

The spelling of 240020241102 in words is "two hundred forty billion, twenty million, two hundred forty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 841 1189 1682 2378 2523 3567 5046 7134 7569 10701 15138 21402 34481 68962 103443 206886 310329 386719 620658 773438 1160157 2320314 3480471 6960942 11214851 15855479 22429702 31710958 33644553 47566437 67289106 95132874 100933659 142699311 201867318 285398622 325230679 459808891 650461358 919617782 975692037 1379426673 1951384074 2758853346 2927076111 4138280019 5854152222 8276560038 13334457839 26668915678 40003373517 80006747034 120010120551 240020241102