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10100333030121 = 331254729814809
BaseRepresentation
bin1001001011111010101011…
…0000110010101011101001
31022202120201120112021112000
42102332222300302223221
52310440440223430441
633252010130041213
72061503445131145
oct222765260625351
938676646467460
1010100333030121
113244588753624
121171619119209
135835c395bcb9
1426cc044c0225
15127aed5132b6
hex92faac32ae9

10100333030121 has 16 divisors (see below), whose sum is σ = 14964649435200. Its totient is φ = 6733018461024.

The previous prime is 10100333030107. The next prime is 10100333030231. The reversal of 10100333030121 is 12103033300101.

It is a happy number.

10100333030121 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 3 + 330 + 301 + 21 = 666.

It is not a de Polignac number, because 10100333030121 - 213 = 10100333021929 is a prime.

It is a super-3 number, since 3×101003330301213 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10100333030094 and 10100333030103.

It is not an unprimeable number, because it can be changed into a prime (10100333030321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14568636 + ... + 15246173.

It is an arithmetic number, because the mean of its divisors is an integer number (935290589700).

Almost surely, 210100333030121 is an apocalyptic number.

It is an amenable number.

10100333030121 is a deficient number, since it is larger than the sum of its proper divisors (4864316405079).

10100333030121 is a wasteful number, since it uses less digits than its factorization.

10100333030121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29827365 (or 29827359 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10100333030121 its reverse (12103033300101), we get a palindrome (22203366330222).

The spelling of 10100333030121 in words is "ten trillion, one hundred billion, three hundred thirty-three million, thirty thousand, one hundred twenty-one".

Divisors: 1 3 9 27 12547 37641 112923 338769 29814809 89444427 268333281 804999843 374086408523 1122259225569 3366777676707 10100333030121