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205304231132 = 227211137324969
BaseRepresentation
bin1011111100110100010…
…1011111010011011100
3201121221000010112201022
42333031011133103130
511330430340344012
6234152050103312
720555426112500
oct2771505372334
9647830115638
10205304231132
117a0839825a0
1233957b7ab38
131648b1ca690
149d18738300
155518e73472
hex2fcd15f4dc

205304231132 has 72 divisors (see below), whose sum is σ = 491007389040. Its totient is φ = 73835677440.

The previous prime is 205304231117. The next prime is 205304231147. The reversal of 205304231132 is 231132403502.

It is a happy number.

205304231132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205304231117) and next prime (205304231147).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3634457 + ... + 3690512.

It is an arithmetic number, because the mean of its divisors is an integer number (6819547070).

Almost surely, 2205304231132 is an apocalyptic number.

205304231132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205304231132 is an abundant number, since it is smaller than the sum of its proper divisors (285703157908).

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

205304231132 is a wasteful number, since it uses less digits than its factorization.

205304231132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7325011 (or 7325002 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 205304231132 its reverse (231132403502), we get a palindrome (436436634634).

The spelling of 205304231132 in words is "two hundred five billion, three hundred four million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028 7324969 14649938 29299876 51274783 80574659 95224597 102549566 161149318 190449194 205099132 322298636 358923481 380898388 564022613 666572179 717846962 1047470567 1128045226 1333144358 1435693924 2094941134 2256090452 2666288716 3948158291 4189882268 4666005253 7332293969 7896316582 9332010506 14664587938 15792633164 18664021012 29329175876 51326057783 102652115566 205304231132