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13210332032 = 274323310301
BaseRepresentation
bin11000100110110010…
…11010101110000000
31021002122120101202202
430103121122232000
5204023321111112
610022503132332
7645235653362
oct142331325600
937078511682
1013210332032
115669984a87
1226881440a8
131326b35a21
148d467ad32
15524b4c6c2
hex31365ab80

13210332032 has 64 divisors (see below), whose sum is σ = 27047694960. Its totient is φ = 6423244800.

The previous prime is 13210332019. The next prime is 13210332071. The reversal of 13210332032 is 23023301231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13210331995 and 13210332013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277282 + ... + 1287582.

Almost surely, 213210332032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13210332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523847480).

13210332032 is an abundant number, since it is smaller than the sum of its proper divisors (13837362928).

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

13210332032 is a wasteful number, since it uses less digits than its factorization.

13210332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10579 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13210332032 its reverse (23023301231), we get a palindrome (36233633263).

The spelling of 13210332032 in words is "thirteen billion, two hundred ten million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 233 344 466 688 932 1376 1864 2752 3728 5504 7456 10019 10301 14912 20038 20602 29824 40076 41204 80152 82408 160304 164816 320608 329632 442943 641216 659264 885886 1282432 1318528 1771772 2400133 3543544 4800266 7087088 9600532 14174176 19201064 28348352 38402128 56696704 76804256 103205719 153608512 206411438 307217024 412822876 825645752 1651291504 3302583008 6605166016 13210332032