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120023033202033 = 31317223780925443
BaseRepresentation
bin11011010010100100001010…
…010000100100010101110001
3120201222002102112210221011020
4123102210022100210111301
5111212424132444431113
61103133453102210053
734165243436156523
oct3322441220442561
9521862375727136
10120023033202033
1135274534280875
1211565326b83929
1351c817b3423c0
14218d208121a13
15dd211b823023
hex6d290a424571

120023033202033 has 32 divisors (see below), whose sum is σ = 182560032821376. Its totient is φ = 69484526711808.

The previous prime is 120023033201963. The next prime is 120023033202161. The reversal of 120023033202033 is 330202330320021.

It is not a de Polignac number, because 120023033202033 - 218 = 120023032939889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120023033201994 and 120023033202012.

It is not an unprimeable number, because it can be changed into a prime (120023033202433) 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, 38979591 + ... + 41945852.

It is an arithmetic number, because the mean of its divisors is an integer number (5705001025668).

Almost surely, 2120023033202033 is an apocalyptic number.

120023033202033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120023033202033 is a deficient number, since it is larger than the sum of its proper divisors (62536999619343).

120023033202033 is a wasteful number, since it uses less digits than its factorization.

120023033202033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80927713.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 120023033202033 its reverse (330202330320021), we get a palindrome (450225363522054).

The spelling of 120023033202033 in words is "one hundred twenty trillion, twenty-three billion, thirty-three million, two hundred two thousand, thirty-three".

Divisors: 1 3 13 17 39 51 221 663 2237 6711 29081 38029 87243 114087 494377 1483131 80925443 242776329 1052030759 1375732531 3156092277 4127197593 17884522903 53653568709 181030215991 543090647973 2353392807883 3077513671847 7060178423649 9232541015541 40007677734011 120023033202033