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10231313620 = 2251189975387
BaseRepresentation
bin10011000011101010…
…10111010011010100
3222102001000120202111
421201311113103110
5131423204013440
64411124320404
7511353505453
oct114165272324
928361016674
1010231313620
1143803453a0
121b96543104
13c708b9638
146d0b76b9a
153ed3504ea
hex261d574d4

10231313620 has 96 divisors (see below), whose sum is σ = 23951168640. Its totient is φ = 3640074240.

The previous prime is 10231313569. The next prime is 10231313623. The reversal of 10231313620 is 2631313201.

10231313620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10231313591 and 10231313600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231313623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896567 + ... + 1901953.

It is an arithmetic number, because the mean of its divisors is an integer number (249491340).

Almost surely, 210231313620 is an apocalyptic number.

10231313620 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 10231313620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975584320).

10231313620 is an abundant number, since it is smaller than the sum of its proper divisors (13719855020).

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

10231313620 is a wasteful number, since it uses less digits than its factorization.

10231313620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10231313620 its reverse (2631313201), we get a palindrome (12862626821).

The spelling of 10231313620 in words is "ten billion, two hundred thirty-one million, three hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 97 110 178 194 220 356 388 445 485 890 970 979 1067 1780 1940 1958 2134 3916 4268 4895 5335 5387 8633 9790 10670 10774 17266 19580 21340 21548 26935 34532 43165 53870 59257 86330 94963 107740 118514 172660 189926 237028 296285 379852 474815 479443 522539 592570 949630 958886 1045078 1185140 1899260 1917772 2090156 2397215 2612695 4794430 5225390 5273873 5747929 9588860 10450780 10547746 11495858 21095492 22991716 26369365 28739645 46505971 52738730 57479290 93011942 105477460 114958580 186023884 232529855 465059710 511565681 930119420 1023131362 2046262724 2557828405 5115656810 10231313620