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120010022102022 = 231319233520800977
BaseRepresentation
bin11011010010011000000010…
…101111001010010000000110
3120201220211211210010120100020
4123102120002233022100012
5111212221011124231042
61103123502033200010
734164303136511403
oct3322300257122006
9521824753116306
10120010022102022
1135269a67904858
12115628b5700006
1351c6b86885260
14218c7321072aa
15dd1b0942c3ec
hex6d2602bca406

120010022102022 has 64 divisors (see below), whose sum is σ = 283917390865920. Its totient is φ = 33461692475904.

The previous prime is 120010022102021. The next prime is 120010022102023. The reversal of 120010022102022 is 220201220010021.

It is an interprime number because it is at equal distance from previous prime (120010022102021) and next prime (120010022102023).

It is a junction number, because it is equal to n+sod(n) for n = 120010022101992 and 120010022102010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010022102021) 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 31 ways as a sum of consecutive naturals, for example, 1760366403 + ... + 1760434574.

It is an arithmetic number, because the mean of its divisors is an integer number (4436209232280).

Almost surely, 2120010022102022 is an apocalyptic number.

120010022102022 is an abundant number, since it is smaller than the sum of its proper divisors (163907368763898).

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

120010022102022 is a wasteful number, since it uses less digits than its factorization.

120010022102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520801037.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120010022102022 its reverse (220201220010021), we get a palindrome (340211242112043).

The spelling of 120010022102022 in words is "one hundred twenty trillion, ten billion, twenty-two million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 247 299 437 494 598 741 874 897 1311 1482 1794 2622 5681 11362 17043 34086 3520800977 7041601954 10562402931 21124805862 45770412701 66895218563 80978422471 91540825402 133790437126 137311238103 161956844942 200685655689 242935267413 274622476206 401371311378 485870534826 869637841319 1052719492123 1538590026949 1739275682638 2105438984246 2608913523957 3077180053898 3158158476369 4615770080847 5217827047914 6316316952738 9231540161694 20001670350337 40003340700674 60005011051011 120010022102022