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420123344031 = 34192571062197
BaseRepresentation
bin1100001110100010100…
…11010111110010011111
31111011102010012011110000
412013101103113302133
523340403034002111
6521000233145343
742232022334336
oct6072123276237
91434363164400
10420123344031
1115219a747636
126950a55b253
1330804740cc1
14164969d4d1d
15addd3cac56
hex61d14d7c9f

420123344031 has 40 divisors (see below), whose sum is σ = 663193943280. Its totient is φ = 264308355072.

The previous prime is 420123343967. The next prime is 420123344057. The reversal of 420123344031 is 130443321024.

420123344031 is a `hidden beast` number, since 4 + 20 + 1 + 233 + 4 + 403 + 1 = 666.

It is not a de Polignac number, because 420123344031 - 26 = 420123343967 is a prime.

It is a super-2 number, since 2×4201233440312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 420123343986 and 420123344004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420123344131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135576 + ... + 926621.

It is an arithmetic number, because the mean of its divisors is an integer number (16579848582).

Almost surely, 2420123344031 is an apocalyptic number.

420123344031 is a deficient number, since it is larger than the sum of its proper divisors (243070599249).

420123344031 is a wasteful number, since it uses less digits than its factorization.

420123344031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062485 (or 1062476 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 420123344031 its reverse (130443321024), we get a palindrome (550566665055).

The spelling of 420123344031 in words is "four hundred twenty billion, one hundred twenty-three million, three hundred forty-four thousand, thirty-one".

Divisors: 1 3 9 19 27 57 81 171 257 513 771 1539 2313 4883 6939 14649 20817 43947 131841 395523 1062197 3186591 9559773 20181743 28679319 60545229 86037957 181635687 272984629 544907061 818953887 1634721183 2456861661 5186707951 7370584983 15560123853 22111754949 46680371559 140041114677 420123344031