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20020010322312 = 2332711132973131213
BaseRepresentation
bin1001000110101010001011…
…00110101000100110001000
32121212220010221102012110100
410203111011212220212020
510111001440120303222
6110325022112445400
74134253342656660
oct443250546504610
977786127365410
1020020010322312
1164194909a73a0
1222b4018b49860
13b22b56b63b40
144d2d8ba6d1a0
1524ab769904ac
hex1235459a8988

20020010322312 has 768 divisors, whose sum is σ = 76342614566400. Its totient is φ = 4570964213760.

The previous prime is 20020010322293. The next prime is 20020010322313. The reversal of 20020010322312 is 21322301002002.

20020010322312 is a `hidden beast` number, since 2 + 0 + 0 + 20 + 0 + 10 + 322 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20020010322313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152510818 + ... + 152642030.

It is an arithmetic number, because the mean of its divisors is an integer number (99404446050).

Almost surely, 220020010322312 is an apocalyptic number.

20020010322312 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 20020010322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38171307283200).

20020010322312 is an abundant number, since it is smaller than the sum of its proper divisors (56322604244088).

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

20020010322312 is a wasteful number, since it uses less digits than its factorization.

20020010322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131358 (or 131351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20020010322312 its reverse (21322301002002), we get a palindrome (41342311324314).

The spelling of 20020010322312 in words is "twenty trillion, twenty billion, ten million, three hundred twenty-two thousand, three hundred twelve".