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10240622425341 = 32711101146309237
BaseRepresentation
bin1001010100000101010010…
…1010010111010011111101
31100020222211120202221212200
42111001110222113103331
52320240243320102331
633440251010422113
72104601112251250
oct225012452272375
940228746687780
1010240622425341
113299029428670
12119484b891939
135938c0477b69
14275912321097
1512b5ae84b5e6
hex95054a974fd

10240622425341 has 48 divisors (see below), whose sum is σ = 18624580760448. Its totient is φ = 5267132496000.

The previous prime is 10240622425307. The next prime is 10240622425349. The reversal of 10240622425341 is 14352422604201.

10240622425341 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 622 + 4 + 25 + 3 + 4 + 1 = 666.

10240622425341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10240622425341 - 222 = 10240618231037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10240622425296 and 10240622425305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240622425349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73084626 + ... + 73224611.

It is an arithmetic number, because the mean of its divisors is an integer number (388012099176).

Almost surely, 210240622425341 is an apocalyptic number.

10240622425341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10240622425341 is a deficient number, since it is larger than the sum of its proper divisors (8383958335107).

10240622425341 is a wasteful number, since it uses less digits than its factorization.

10240622425341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146309362 (or 146309359 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 10240622425341 in words is "ten trillion, two hundred forty billion, six hundred twenty-two million, four hundred twenty-five thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 101 231 303 693 707 909 1111 2121 3333 6363 7777 9999 23331 69993 146309237 438927711 1024164659 1316783133 1609401607 3072493977 4828204821 9217481931 11265811249 14484614463 14777232937 33797433747 44331698811 101392301241 103440630559 132995096433 162549562307 310321891677 487648686921 930965675031 1137846936149 1462946060763 3413540808447 10240622425341