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240431212101102 = 231198310501352909
BaseRepresentation
bin110110101010101111000000…
…111111010111110111101110
31011112021222222120012110101020
4312222233000333113313232
5223003211110244213402
62211204323553355010
7101433403366636551
oct6652570077276756
91145258876173336
10240431212101102
116a6773392252a0
1222b7121a568a66
13a4207486ca249
144352d0b6aa698
151cbe27a9098bc
hexdaabc0fd7dee

240431212101102 has 64 divisors (see below), whose sum is σ = 525162333150720. Its totient is φ = 72776687760000.

The previous prime is 240431212101097. The next prime is 240431212101103. The reversal of 240431212101102 is 201101212134042.

It is a super-2 number, since 2×2404312121011022 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240431212101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681107424 + ... + 681460332.

It is an arithmetic number, because the mean of its divisors is an integer number (8205661455480).

Almost surely, 2240431212101102 is an apocalyptic number.

240431212101102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

240431212101102 is an abundant number, since it is smaller than the sum of its proper divisors (284731121049618).

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

240431212101102 is a wasteful number, since it uses less digits than its factorization.

240431212101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364409.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 240431212101102 its reverse (201101212134042), we get a palindrome (441532424235144).

The spelling of 240431212101102 in words is "two hundred forty trillion, four hundred thirty-one billion, two hundred twelve million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 983 1966 2949 5898 10501 10813 21002 21626 31503 32439 63006 64878 115511 231022 346533 352909 693066 705818 1058727 2117454 3881999 7763998 10322483 11645997 20644966 23291994 30967449 61934898 113547313 227094626 340641939 346909547 681283878 693819094 1040728641 2081457282 3705897409 3816005017 7411794818 7632010034 11117692227 11448015051 22235384454 22896030102 40764871499 81529742998 122294614497 244589228994 3642897153047 7285794306094 10928691459141 21857382918282 40071868683517 80143737367034 120215606050551 240431212101102