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420201013020 = 2235119312774597
BaseRepresentation
bin1100001110101011110…
…11101001111100011100
31111011121112100011021020
412013111323221330130
523341032424404040
6521012050004140
742233654451465
oct6072573517434
91434545304236
10420201013020
1115222a576488
1269530576650
1330817866399
14164a3051d6c
15ade511dcd0
hex61d5ee9f1c

420201013020 has 96 divisors (see below), whose sum is σ = 1178727536448. Its totient is φ = 111847667712.

The previous prime is 420201013019. The next prime is 420201013021. The reversal of 420201013020 is 20310102024.

It is an interprime number because it is at equal distance from previous prime (420201013019) and next prime (420201013021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420201013021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 91405362 + ... + 91409958.

It is an arithmetic number, because the mean of its divisors is an integer number (12278411838).

Almost surely, 2420201013020 is an apocalyptic number.

It is an amenable number.

420201013020 is an abundant number, since it is smaller than the sum of its proper divisors (758526523428).

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

420201013020 is a wasteful number, since it uses less digits than its factorization.

420201013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 420201013020 its reverse (20310102024), we get a palindrome (440511115044).

The spelling of 420201013020 in words is "four hundred twenty billion, two hundred one million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1193 1277 2386 2554 3579 3831 4597 4772 5108 5965 6385 7158 7662 9194 11930 12770 13791 14316 15324 17895 18388 19155 22985 23860 25540 27582 35790 38310 45970 55164 68955 71580 76620 91940 137910 275820 1523461 3046922 4570383 5484221 5870369 6093844 7617305 9140766 10968442 11740738 15234610 16452663 17611107 18281532 21936884 22851915 23481476 27421105 29351845 30469220 32905326 35222214 45703830 54842210 58703690 65810652 70444428 82263315 88055535 91407660 109684420 117407380 164526630 176111070 329053260 352222140 7003350217 14006700434 21010050651 28013400868 35016751085 42020101302 70033502170 84040202604 105050253255 140067004340 210100506510 420201013020