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21123031818 = 23724113712791
BaseRepresentation
bin10011101011000001…
…111110001100001010
32000112002201012021210
4103223001332030022
5321224444004233
613412003513550
71345306544100
oct235301761412
960462635253
1021123031818
118a5a445499
1241160888b6
131cb82609c5
1410454dbc70
15839651163
hex4eb07e30a

21123031818 has 96 divisors (see below), whose sum is σ = 50713423488. Its totient is φ = 5844518400.

The previous prime is 21123031799. The next prime is 21123031819. The reversal of 21123031818 is 81813032112.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21123031819) 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 47 ways as a sum of consecutive naturals, for example, 1645003 + ... + 1657793.

It is an arithmetic number, because the mean of its divisors is an integer number (528264828).

Almost surely, 221123031818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21123031818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25356711744).

21123031818 is an abundant number, since it is smaller than the sum of its proper divisors (29590391670).

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

21123031818 is a wasteful number, since it uses less digits than its factorization.

21123031818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988 (or 12981 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 21123031818 in words is "twenty-one billion, one hundred twenty-three million, thirty-one thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 137 147 246 274 287 294 411 574 822 861 959 1722 1918 2009 2877 4018 5617 5754 6027 6713 11234 12054 12791 13426 16851 20139 25582 33702 38373 39319 40278 76746 78638 89537 117957 179074 235914 268611 275233 524431 537222 550466 626759 825699 1048862 1253518 1573293 1651398 1752367 1880277 3146586 3504734 3671017 3760554 5257101 7342034 10514202 11013051 12266569 22026102 24533138 25697119 36799707 51394238 71847047 73599414 77091357 85865983 143694094 154182714 171731966 215541141 257597949 431082282 502929329 515195898 1005858658 1508787987 3017575974 3520505303 7041010606 10561515909 21123031818