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42132120310 = 257312283417
BaseRepresentation
bin100111001111010001…
…010010001011110110
311000202021000110201101
4213033101102023312
51142241310322220
631204421320314
73021034054000
oct471721221366
9130667013641
1042132120310
1116960535645
1281b9b6609a
133c85a08507
142079819370
151168c9630a
hex9cf4522f6

42132120310 has 32 divisors (see below), whose sum is σ = 88440609600. Its totient is φ = 14445297216.

The previous prime is 42132120301. The next prime is 42132120313. The reversal of 42132120310 is 1302123124.

It is a happy number.

It is a super-2 number, since 2×421321203102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132120313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6138279 + ... + 6145138.

It is an arithmetic number, because the mean of its divisors is an integer number (2763769050).

Almost surely, 242132120310 is an apocalyptic number.

42132120310 is an abundant number, since it is smaller than the sum of its proper divisors (46308489290).

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

42132120310 is a wasteful number, since it uses less digits than its factorization.

42132120310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12283445 (or 12283431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 42132120310 its reverse (1302123124), we get a palindrome (43434243434).

The spelling of 42132120310 in words is "forty-two billion, one hundred thirty-two million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 3430 12283417 24566834 61417085 85983919 122834170 171967838 429919595 601887433 859839190 1203774866 3009437165 4213212031 6018874330 8426424062 21066060155 42132120310