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420020431220 = 225136724111391
BaseRepresentation
bin1100001110010110010…
…10110010100101110100
31111011010221112122121102
412013023022302211310
523340200212244340
6520542115305232
742226332521105
oct6071312624564
91434127478542
10420020431220
11152147646725
126949bbab218
13307b931a750
14164870863ac
15add434d215
hex61cb2b2974

420020431220 has 48 divisors (see below), whose sum is σ = 964069897728. Its totient is φ = 152769767040.

The previous prime is 420020431163. The next prime is 420020431223. The reversal of 420020431220 is 22134020024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 420020431192 and 420020431201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420020431223) 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, 12038276 + ... + 12073115.

It is an arithmetic number, because the mean of its divisors is an integer number (20084789536).

Almost surely, 2420020431220 is an apocalyptic number.

It is an amenable number.

420020431220 is an abundant number, since it is smaller than the sum of its proper divisors (544049466508).

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

420020431220 is a wasteful number, since it uses less digits than its factorization.

420020431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24111480 (or 24111478 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 420020431220 its reverse (22134020024), we get a palindrome (442154451244).

The spelling of 420020431220 in words is "four hundred twenty billion, twenty million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 3484 4355 8710 17420 24111391 48222782 96445564 120556955 241113910 313448083 482227820 626896166 1253792332 1567240415 1615463197 3134480830 3230926394 6268961660 6461852788 8077315985 16154631970 21001021561 32309263940 42002043122 84004086244 105005107805 210010215610 420020431220