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13212202000 = 24536606101
BaseRepresentation
bin11000100111000001…
…00011010000010000
31021002210002101212211
430103200203100100
5204024310431000
610023011201504
7645260602234
oct142340432020
937083071784
1013212202000
11566aa41a08
1226888a6294
13132733bc0a
148d4a065c4
15524dbb7ba
hex313823410

13212202000 has 40 divisors (see below), whose sum is σ = 31947109272. Its totient is φ = 5284880000.

The previous prime is 13212201983. The next prime is 13212202019. The reversal of 13212202000 is 20221231.

It can be written as a sum of positive squares in 4 ways, for example, as 592825104 + 12619376896 = 24348^2 + 112336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3301051 + ... + 3305050.

Almost surely, 213212202000 is an apocalyptic number.

13212202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212202000 is an abundant number, since it is smaller than the sum of its proper divisors (18734907272).

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

13212202000 is an equidigital number, since it uses as much as digits as its factorization.

13212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606124 (or 6606108 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13212202000 its reverse (20221231), we get a palindrome (13232423231).

The spelling of 13212202000 in words is "thirteen billion, two hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6606101 13212202 26424404 33030505 52848808 66061010 105697616 132122020 165152525 264244040 330305050 528488080 660610100 825762625 1321220200 1651525250 2642440400 3303050500 6606101000 13212202000