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10113023002122 = 233463749953939
BaseRepresentation
bin1001001100101001111100…
…1001001100011000001010
31022210210110221221122112000
42103022133021030120022
52311142432342031442
633301505244131430
72062433065122105
oct223123711143012
938723427848460
1010113023002122
1132499aa925397
121173b7ab36b76
13584866a31681
1426d6899c573c
151280e2624d4c
hex9329f24c60a

10113023002122 has 64 divisors (see below), whose sum is σ = 22525344000000. Its totient is φ = 3363215963184.

The previous prime is 10113023002109. The next prime is 10113023002151. The reversal of 10113023002122 is 22120032031101.

10113023002122 is a `hidden beast` number, since 10 + 11 + 302 + 300 + 21 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10113023002095 and 10113023002104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 187463029 + ... + 187516967.

It is an arithmetic number, because the mean of its divisors is an integer number (351958500000).

Almost surely, 210113023002122 is an apocalyptic number.

10113023002122 is an abundant number, since it is smaller than the sum of its proper divisors (12412320997878).

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

10113023002122 is a wasteful number, since it uses less digits than its factorization.

10113023002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61912 (or 61906 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10113023002122 its reverse (22120032031101), we get a palindrome (32233055033223).

The spelling of 10113023002122 in words is "ten trillion, one hundred thirteen billion, twenty-three million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 463 926 1389 2778 4167 7499 8334 12501 14998 22497 25002 44994 53939 67491 107878 134982 161817 202473 323634 404946 485451 970902 1456353 2912706 3472037 6944074 10416111 20832222 24973757 31248333 49947514 62496666 74921271 93744999 149842542 187489998 224763813 404488561 449527626 674291439 808977122 1213465683 1348582878 2426931366 3640397049 7280794098 10921191147 21842382294 187278203743 374556407486 561834611229 1123669222458 1685503833687 3371007667374 5056511501061 10113023002122