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23211413420 = 225131747111733
BaseRepresentation
bin10101100111100000…
…100000111110101100
32012220122100222021112
4111213200200332230
5340014110212140
614355125051152
71451125521146
oct254740407654
965818328245
1023211413420
1199312684a8
1245b9556ab8
13225bb11470
1411a2a01c96
1590cb70c65
hex567820fac

23211413420 has 96 divisors (see below), whose sum is σ = 56764447488. Its totient is φ = 7894536192.

The previous prime is 23211413411. The next prime is 23211413429. The reversal of 23211413420 is 2431411232.

It is an interprime number because it is at equal distance from previous prime (23211413411) and next prime (23211413429).

It is a super-5 number, since 5×232114134205 (a number of 53 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (23211413429) 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, 151874 + ... + 263606.

It is an arithmetic number, because the mean of its divisors is an integer number (591296328).

Almost surely, 223211413420 is an apocalyptic number.

23211413420 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 23211413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28382223744).

23211413420 is an abundant number, since it is smaller than the sum of its proper divisors (33553034068).

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

23211413420 is a wasteful number, since it uses less digits than its factorization.

23211413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111819 (or 111817 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 23211413420 its reverse (2431411232), we get a palindrome (25642824652).

The spelling of 23211413420 in words is "twenty-three billion, two hundred eleven million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 47 52 65 68 85 94 130 170 188 221 235 260 340 442 470 611 799 884 940 1105 1222 1598 2210 2444 3055 3196 3995 4420 6110 7990 10387 12220 15980 20774 41548 51935 103870 111733 207740 223466 446932 558665 1117330 1452529 1899461 2234660 2905058 3798922 5251451 5810116 7262645 7597844 9497305 10502902 14525290 18994610 21005804 24692993 26257255 29050580 37989220 49385986 52514510 68268863 89274667 98771972 105029020 123464965 136537726 178549334 246929930 273075452 341344315 357098668 446373335 493859860 682688630 892746670 1160570671 1365377260 1785493340 2321141342 4642282684 5802853355 11605706710 23211413420