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420121434012 = 22379049552707
BaseRepresentation
bin1100001110100010011…
…00000101011110011100
31111011101222121010101120
412013101030011132130
523340402041342022
6521000124210540
742232000160640
oct6072114053634
91434358533346
10420121434012
11152199662605
1269509999a50
1330804222807
1416496658c20
15addd14ed5c
hex61d130579c

420121434012 has 48 divisors (see below), whose sum is σ = 1120449657600. Its totient is φ = 120021213312.

The previous prime is 420121433933. The next prime is 420121434017. The reversal of 420121434012 is 210434121024.

It is a super-2 number, since 2×4201214340122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420121434017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483763 + ... + 1036469.

It is an arithmetic number, because the mean of its divisors is an integer number (23342701200).

Almost surely, 2420121434012 is an apocalyptic number.

420121434012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420121434012 is an abundant number, since it is smaller than the sum of its proper divisors (700328223588).

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

420121434012 is a wasteful number, since it uses less digits than its factorization.

420121434012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561770 (or 561768 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 420121434012 its reverse (210434121024), we get a palindrome (630555555036).

The spelling of 420121434012 in words is "four hundred twenty billion, one hundred twenty-one million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 9049 18098 27147 36196 54294 63343 108588 126686 190029 253372 380058 552707 760116 1105414 1658121 2210828 3316242 3868949 6632484 7737898 11606847 15475796 23213694 46427388 5001445643 10002891286 15004336929 20005782572 30008673858 35010119501 60017347716 70020239002 105030358503 140040478004 210060717006 420121434012