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20131662012 = 223711231181353
BaseRepresentation
bin10010101111111100…
…001100100010111100
31220222000021101120120
4102233330030202330
5312212201141022
613125351214540
71311611206110
oct225774144274
956860241516
1020131662012
1185a0886700
123a9a077450
131b8aa55a57
14d8d999740
157cc5c6d5c
hex4aff0c8bc

20131662012 has 288 divisors, whose sum is σ = 61422047232. Its totient is φ = 5018112000.

The previous prime is 20131662011. The next prime is 20131662029. The reversal of 20131662012 is 21026613102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131662011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57030028 + ... + 57030380.

Almost surely, 220131662012 is an apocalyptic number.

20131662012 is a gapful number since it is divisible by the number (22) 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 20131662012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30711023616).

20131662012 is an abundant number, since it is smaller than the sum of its proper divisors (41290385220).

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

20131662012 is a wasteful number, since it uses less digits than its factorization.

20131662012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 20131662012 in words is "twenty billion, one hundred thirty-one million, six hundred sixty-two thousand, twelve".