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420234324101 = 41138118893929
BaseRepresentation
bin1100001110101111110…
…10101110100010000101
31111011200212000112110222
412013113322232202011
523341114441332401
6521015235554125
742234540550364
oct6072772564205
91434625015428
10420234324101
111522473585a9
126953b75b945
133082172a497
14164a76437db
15ade7eedc1b
hex61d7eae885

420234324101 has 16 divisors (see below), whose sum is σ = 431133418800. Its totient is φ = 409366732800.

The previous prime is 420234324089. The next prime is 420234324157. The reversal of 420234324101 is 101423432024.

It can be written as a sum of positive squares in 8 ways, for example, as 101489393476 + 318744930625 = 318574^2 + 564575^2 .

It is a cyclic number.

It is not a de Polignac number, because 420234324101 - 222 = 420230129797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420234324161) 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, 106955105 + ... + 106959033.

It is an arithmetic number, because the mean of its divisors is an integer number (26945838675).

Almost surely, 2420234324101 is an apocalyptic number.

420234324101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

420234324101 is a deficient number, since it is larger than the sum of its proper divisors (10899094699).

420234324101 is a wasteful number, since it uses less digits than its factorization.

420234324101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 420234324101 its reverse (101423432024), we get a palindrome (521657756125).

The spelling of 420234324101 in words is "four hundred twenty billion, two hundred thirty-four million, three hundred twenty-four thousand, one hundred one".

Divisors: 1 41 1381 1889 3929 56621 77449 161089 2608709 5425949 7421881 106957069 222463909 304297121 10249617661 420234324101