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10100221222209 = 329569320392499
BaseRepresentation
bin1001001011111010010000…
…0110010001110101000001
31022202120102210010211220020
42102332210012101311001
52310440223113102314
633251551053404053
72061500616566436
oct222764406216501
938676383124806
1010100221222209
113244530627698
1211715a7799629
135835a6742a81
1426cbd36d7b8d
15127ae37c9da9
hex92fa4191d41

10100221222209 has 16 divisors (see below), whose sum is σ = 13933787400000. Its totient is φ = 6500149522496.

The previous prime is 10100221222183. The next prime is 10100221222319. The reversal of 10100221222209 is 90222212200101.

It is a cyclic number.

It is not a de Polignac number, because 10100221222209 - 237 = 9962782268737 is a prime.

It is a super-2 number, since 2×101002212222092 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100221922209) 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 15 ways as a sum of consecutive naturals, for example, 9700959 + ... + 10691540.

It is an arithmetic number, because the mean of its divisors is an integer number (870861712500).

Almost surely, 210100221222209 is an apocalyptic number.

It is an amenable number.

10100221222209 is a deficient number, since it is larger than the sum of its proper divisors (3833566177791).

10100221222209 is a wasteful number, since it uses less digits than its factorization.

10100221222209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20398224.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 10100221222209 in words is "ten trillion, one hundred billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred nine".

Divisors: 1 3 29 87 5693 17079 165097 495291 20392499 61177497 591382471 1774147413 116094496807 348283490421 3366740407403 10100221222209