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10422131122424 = 237967214389809
BaseRepresentation
bin1001011110101001011101…
…1011000110000011111000
31100220100100020102010110002
42113222113123012003320
52331224011031404144
634055505544012132
72123655060601160
oct227522733060370
940810306363402
1010422131122424
11335900135023a
121203a66761048
135a7a58838178
142806106455a0
1513118471b14e
hex97a976c60f8

10422131122424 has 64 divisors (see below), whose sum is σ = 22366914662400. Its totient is φ = 4459876775424.

The previous prime is 10422131122399. The next prime is 10422131122471. The reversal of 10422131122424 is 42422113122401.

It is a super-4 number, since 4×104221311224244 (a number of 53 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 116002832 + ... + 116092640.

It is an arithmetic number, because the mean of its divisors is an integer number (349483041600).

Almost surely, 210422131122424 is an apocalyptic number.

10422131122424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10422131122424 is an abundant number, since it is smaller than the sum of its proper divisors (11944783539976).

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

10422131122424 is a wasteful number, since it uses less digits than its factorization.

10422131122424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92932 (or 92928 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10422131122424 its reverse (42422113122401), we get a palindrome (52844244244825).

The spelling of 10422131122424 in words is "ten trillion, four hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 967 1934 2143 3868 4286 6769 7736 8572 13538 15001 17144 27076 30002 54152 60004 89809 120008 179618 359236 628663 718472 1257326 2072281 2514652 4144562 5029304 8289124 14505967 16578248 29011934 58023868 86845303 116047736 173690606 192460687 347381212 384921374 607917121 694762424 769842748 1215834242 1347224809 1539685496 2431668484 2694449618 4863336968 5388899236 10777798472 186109484329 372218968658 744437937316 1302766390303 1488875874632 2605532780606 5211065561212 10422131122424