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2200120032033 = 3272111812505743
BaseRepresentation
bin100000000001000001010…
…111110111101100100001
321210022220010222210110100
4200001001113313230201
5242021321212011113
64402415435453013
7314645011465500
oct40010127675441
97708803883410
102200120032033
1177907a445910
122b64938b7169
1312c6166bbc01
14786b4898837
153c36bc61d73
hex200415f7b21

2200120032033 has 72 divisors (see below), whose sum is σ = 4055155767936. Its totient is φ = 1136604571200.

The previous prime is 2200120031981. The next prime is 2200120032043. The reversal of 2200120032033 is 3302300210022.

It is a happy number.

2200120032033 is a `hidden beast` number, since 220 + 0 + 120 + 0 + 320 + 3 + 3 = 666.

It is not a de Polignac number, because 2200120032033 - 29 = 2200120031521 is a prime.

It is a super-2 number, since 2×22001200320332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2200120031997 and 2200120032015.

It is not an unprimeable number, because it can be changed into a prime (2200120032043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 374841 + ... + 2130902.

It is an arithmetic number, because the mean of its divisors is an integer number (56321607888).

Almost surely, 22200120032033 is an apocalyptic number.

It is an amenable number.

2200120032033 is a deficient number, since it is larger than the sum of its proper divisors (1855035735903).

2200120032033 is a wasteful number, since it uses less digits than its factorization.

2200120032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505955 (or 2505945 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2200120032033 its reverse (3302300210022), we get a palindrome (5502420242055).

The spelling of 2200120032033 in words is "two trillion, two hundred billion, one hundred twenty million, thirty-two thousand, thirty-three".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 181 231 441 539 543 693 1267 1617 1629 1991 3801 4851 5973 8869 11403 13937 17919 26607 41811 79821 97559 125433 292677 878031 2505743 7517229 17540201 22551687 27563173 52620603 82689519 122781407 157861809 192942211 248068557 368344221 453539483 578826633 1105032663 1350595477 1360618449 1736479899 3174776381 4051786431 4081855347 4988934313 9524329143 12155359293 14966802939 22223434667 28572987429 34922540191 44900408817 66670304001 104767620573 200010912003 244457781337 314302861719 733373344011 2200120032033