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10203222000114 = 23211133963955711
BaseRepresentation
bin1001010001111001111101…
…1011000100000111110010
31100010102022002021111120100
42110132133123010013302
52314132144313000424
633411143453453230
72102105232010533
oct224363733040762
940112262244510
1010203222000114
113284186904630
1211895524a1216
1359020cb49b30
14273ba50c468a
1512a6211addc9
hex9479f6c41f2

10203222000114 has 48 divisors (see below), whose sum is σ = 25971837825024. Its totient is φ = 2854048111200.

The previous prime is 10203222000061. The next prime is 10203222000133. The reversal of 10203222000114 is 41100022230201.

It is a happy number.

10203222000114 is a `hidden beast` number, since 10 + 20 + 322 + 200 + 0 + 114 = 666.

It is a super-2 number, since 2×102032220001142 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981975282 + ... + 1981980429.

It is an arithmetic number, because the mean of its divisors is an integer number (541079954688).

Almost surely, 210203222000114 is an apocalyptic number.

10203222000114 is an abundant number, since it is smaller than the sum of its proper divisors (15768615824910).

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

10203222000114 is a wasteful number, since it uses less digits than its factorization.

10203222000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963955743 (or 3963955740 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10203222000114 its reverse (41100022230201), we get a palindrome (51303244230315).

The spelling of 10203222000114 in words is "ten trillion, two hundred three billion, two hundred twenty-two million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 3963955711 7927911422 11891867133 23783734266 35675601399 43603512821 51531424243 71351202798 87207025642 103062848486 130810538463 154594272729 261621076926 309188545458 392431615389 463782818187 566845666673 784863230778 927565636374 1133691333346 1700537000019 3401074000038 5101611000057 10203222000114