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204201003420 = 223256011188729
BaseRepresentation
bin1011111000101101010…
…1000000100110011100
3201112002010012202210200
42332023111000212130
511321200424102140
6233450400103500
720516201614251
oct2761325004634
9645063182720
10204201003420
1179668163257
12336aa604b90
131634378980b
149c51dd9428
1554a21a1030
hex2f8b54099c

204201003420 has 72 divisors (see below), whose sum is σ = 619516038960. Its totient is φ = 54444253440.

The previous prime is 204201003373. The next prime is 204201003437. The reversal of 204201003420 is 24300102402.

204201003420 is a `hidden beast` number, since 204 + 20 + 100 + 342 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204201003393 and 204201003402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987616 + ... + 1176344.

It is an arithmetic number, because the mean of its divisors is an integer number (8604389430).

Almost surely, 2204201003420 is an apocalyptic number.

204201003420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204201003420 is an abundant number, since it is smaller than the sum of its proper divisors (415315035540).

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

204201003420 is a wasteful number, since it uses less digits than its factorization.

204201003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194755 (or 194750 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 204201003420 its reverse (24300102402), we get a palindrome (228501105822).

The spelling of 204201003420 in words is "two hundred four billion, two hundred one million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6011 12022 18033 24044 30055 36066 54099 60110 72132 90165 108198 120220 180330 188729 216396 270495 360660 377458 540990 566187 754916 943645 1081980 1132374 1698561 1887290 2264748 2830935 3397122 3774580 5661870 6794244 8492805 11323740 16985610 33971220 1134450019 2268900038 3403350057 4537800076 5672250095 6806700114 10210050171 11344500190 13613400228 17016750285 20420100342 22689000380 34033500570 40840200684 51050250855 68067001140 102100501710 204201003420