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13212014040 = 23325198232347
BaseRepresentation
bin11000100110111111…
…10101010111011000
31021002202201212001100
430103133311113120
5204024233422130
610023003151400
7645256160241
oct142337652730
937082655040
1013212014040
11566a923775
122688815560
1313272a44b4
148d4997cc8
15524d80c60
hex3137f55d8

13212014040 has 192 divisors, whose sum is σ = 45273196800. Its totient is φ = 3332295936.

The previous prime is 13212014033. The next prime is 13212014041. The reversal of 13212014040 is 4041021231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212014041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5628147 + ... + 5630493.

It is an arithmetic number, because the mean of its divisors is an integer number (235797900).

Almost surely, 213212014040 is an apocalyptic number.

13212014040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636598400).

13212014040 is an abundant number, since it is smaller than the sum of its proper divisors (32061182760).

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

13212014040 is a wasteful number, since it uses less digits than its factorization.

13212014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13212014040 its reverse (4041021231), we get a palindrome (17253035271).

The spelling of 13212014040 in words is "thirteen billion, two hundred twelve million, fourteen thousand, forty".