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10112110221221 = 172772147400769
BaseRepresentation
bin1001001100100110100010…
…1111001101011110100101
31022210201010100101120111222
42103021220233031132211
52311134100204034341
633301234520110125
72062401342452231
oct223115057153645
938721110346458
1010112110221221
113249581663608
121173965305345
1358474c8b1728
1426d60069d5c1
1512808c42144b
hex93268bcd7a5

10112110221221 has 8 divisors (see below), whose sum is σ = 10745593453080. Its totient is φ = 9482921791488.

The previous prime is 10112110221217. The next prime is 10112110221229. The reversal of 10112110221221 is 12212201121101.

It can be written as a sum of positive squares in 4 ways, for example, as 13945248100 + 10098164973121 = 118090^2 + 3177761^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10112110221221 - 22 = 10112110221217 is a prime.

It is a super-2 number, since 2×101121102212212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10112110221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112110221229) 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 7 ways as a sum of consecutive naturals, for example, 1073695676 + ... + 1073705093.

It is an arithmetic number, because the mean of its divisors is an integer number (1343199181635).

Almost surely, 210112110221221 is an apocalyptic number.

It is an amenable number.

10112110221221 is a deficient number, since it is larger than the sum of its proper divisors (633483231859).

10112110221221 is a wasteful number, since it uses less digits than its factorization.

10112110221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147401063.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10112110221221 its reverse (12212201121101), we get a palindrome (22324311342322).

The spelling of 10112110221221 in words is "ten trillion, one hundred twelve billion, one hundred ten million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 17 277 4709 2147400769 36505813073 594830013013 10112110221221