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10211024442320 = 2451311471855923
BaseRepresentation
bin1001010010010111000001…
…1111000001001111010000
31100011011102211221122010022
42110211300133001033100
52314244134224123240
633414514015123012
72102502463454462
oct224456037011720
940134384848108
1010211024442320
113287520107979
12118ab6b513468
13590b8447c440
14274305444132
1512a92b1839b5
hex949707c13d0

10211024442320 has 80 divisors (see below), whose sum is σ = 25569092973312. Its totient is φ = 3769891330560.

The previous prime is 10211024442313. The next prime is 10211024442323. The reversal of 10211024442320 is 2324442011201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10211024442320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211024442323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11501879 + ... + 12357801.

Almost surely, 210211024442320 is an apocalyptic number.

10211024442320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211024442320 is an abundant number, since it is smaller than the sum of its proper divisors (15358068530992).

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

10211024442320 is a wasteful number, since it uses less digits than its factorization.

10211024442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867420 (or 867414 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10211024442320 its reverse (2324442011201), we get a palindrome (12535466453521).

The spelling of 10211024442320 in words is "ten trillion, two hundred eleven billion, twenty-four million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 11471 22942 45884 57355 91768 114710 149123 183536 229420 298246 458840 596492 745615 855923 917680 1192984 1491230 1711846 2385968 2982460 3423692 4279615 5964920 6847384 8559230 11126999 11929840 13694768 17118460 22253998 34236920 44507996 55634995 68473840 89015992 111269990 178031984 222539980 445079960 890159920 9818292733 19636585466 39273170932 49091463665 78546341864 98182927330 127637805529 157092683728 196365854660 255275611058 392731709320 510551222116 638189027645 785463418640 1021102444232 1276378055290 2042204888464 2552756110580 5105512221160 10211024442320