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10033202102121 = 32118910369109819
BaseRepresentation
bin1001001000000000100101…
…1100100111111101101001
31022112011110002211210112100
42102000021130213331221
52303340444214231441
633201104525204013
72053606046506662
oct222001134477551
938464402753470
1010033202102121
11321906a026840
121160603100609
1357a185a46bb3
1426987694c369
15125ebec32cb6
hex92009727f69

10033202102121 has 48 divisors (see below), whose sum is σ = 15989220936000. Its totient is φ = 6011771166720.

The previous prime is 10033202102101. The next prime is 10033202102129. The reversal of 10033202102121 is 12120120233001.

10033202102121 is a `hidden beast` number, since 1 + 0 + 0 + 332 + 0 + 210 + 2 + 121 = 666.

It is not a de Polignac number, because 10033202102121 - 29 = 10033202101609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10033202102094 and 10033202102103.

It is not an unprimeable number, because it can be changed into a prime (10033202102129) 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, 91306350 + ... + 91416168.

It is an arithmetic number, because the mean of its divisors is an integer number (333108769500).

Almost surely, 210033202102121 is an apocalyptic number.

10033202102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10033202102121 is a deficient number, since it is larger than the sum of its proper divisors (5956018833879).

10033202102121 is a wasteful number, since it uses less digits than its factorization.

10033202102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120294 (or 120291 counting only the distinct ones).

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

Adding to 10033202102121 its reverse (12120120233001), we get a palindrome (22153322335122).

The spelling of 10033202102121 in words is "ten trillion, thirty-three billion, two hundred two million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 89 99 267 801 979 2937 8811 10369 31107 93321 109819 114059 329457 342177 922841 988371 1026531 1208009 2768523 3624027 8305569 9773891 10151251 10872081 29321673 30453753 87965019 91361259 107512801 322538403 967615209 1138713211 3416139633 10248418899 12525845321 37577535963 101345475779 112732607889 304036427337 912109282011 1114800233569 3344400700707 10033202102121