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10124222242101 = 311603435084179
BaseRepresentation
bin1001001101010011101010…
…1010111001110100110101
31022211212101110021222121220
42103110322222321310311
52311333401343221401
633311000430500553
72063310444105402
oct223247252716465
938755343258556
1010124222242101
113253727577120
121176185664759
135859300083a6
1427002d11b2a9
1512854a91d336
hex9353aab9d35

10124222242101 has 16 divisors (see below), whose sum is σ = 14726388380160. Its totient is φ = 6135789377520.

The previous prime is 10124222242081. The next prime is 10124222242151.

10124222242101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10124222242101 - 215 = 10124222209333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124222242151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550771 + ... + 4533408.

It is an arithmetic number, because the mean of its divisors is an integer number (920399273760).

Almost surely, 210124222242101 is an apocalyptic number.

10124222242101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10124222242101 is a deficient number, since it is larger than the sum of its proper divisors (4602166138059).

10124222242101 is a wasteful number, since it uses less digits than its factorization.

10124222242101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144536.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1012422 and 2242101, that added together give a palindrome (3254523).

The spelling of 10124222242101 in words is "ten trillion, one hundred twenty-four billion, two hundred twenty-two million, two hundred forty-two thousand, one hundred one".

Divisors: 1 3 11 33 60343 181029 663773 1991319 5084179 15252537 55925969 167777907 306794613397 920383840191 3374740747367 10124222242101