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20231010313020 = 22345134219227693
BaseRepresentation
bin1001001100110011001100…
…01011101110001100111100
32122122001202220010022110000
410212121212023232030330
510122431102120004040
6111005555310514300
74155433203210513
oct446314613561474
978561686108400
1020231010313020
11649aa1799a401
122328aa4505990
13b39a120a6350
144dd286a1b67a
152513c59a1130
hex1266662ee33c

20231010313020 has 240 divisors, whose sum is σ = 68363884844640. Its totient is φ = 4978738773504.

The previous prime is 20231010312893. The next prime is 20231010313027. The reversal of 20231010313020 is 2031301013202.

20231010313020 is a `hidden beast` number, since 20 + 2 + 310 + 1 + 0 + 31 + 302 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20231010312984 and 20231010313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231010313027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88738294 + ... + 88965986.

It is an arithmetic number, because the mean of its divisors is an integer number (284849520186).

Almost surely, 220231010313020 is an apocalyptic number.

20231010313020 is a gapful number since it is divisible by the number (20) 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 20231010313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34181942422320).

20231010313020 is an abundant number, since it is smaller than the sum of its proper divisors (48132874531620).

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

20231010313020 is a wasteful number, since it uses less digits than its factorization.

20231010313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231946 (or 231935 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20231010313020 its reverse (2031301013202), we get a palindrome (22262311326222).

The spelling of 20231010313020 in words is "twenty trillion, two hundred thirty-one billion, ten million, three hundred thirteen thousand, twenty".