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10022011122 = 23172312013557
BaseRepresentation
bin10010101010101101…
…11100000011110010
3221212110011220201010
421111112330003302
5131011113323442
64334250251350
7503232455214
oct112526740362
927773156633
1010022011122
114283189322
121b38426b56
13c394260c6
146b10525b4
153d9ca9b9c
hex2555bc0f2

10022011122 has 64 divisors (see below), whose sum is σ = 22170495744. Its totient is φ = 3004108800.

The previous prime is 10022011121. The next prime is 10022011123. The reversal of 10022011122 is 22111022001.

10022011122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10022011121) and next prime (10022011123).

It is a junction number, because it is equal to n+sod(n) for n = 10022011098 and 10022011107.

It is not an unprimeable number, because it can be changed into a prime (10022011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2815768 + ... + 2819324.

It is an arithmetic number, because the mean of its divisors is an integer number (346413996).

Almost surely, 210022011122 is an apocalyptic number.

10022011122 is an abundant number, since it is smaller than the sum of its proper divisors (12148484622).

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

10022011122 is a wasteful number, since it uses less digits than its factorization.

10022011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022011122 its reverse (22111022001), we get a palindrome (32133033123).

The spelling of 10022011122 in words is "ten billion, twenty-two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 782 1173 1201 2346 2402 3557 3603 7114 7206 10671 20417 21342 27623 40834 55246 60469 61251 81811 82869 120938 122502 163622 165738 181407 245433 362814 469591 490866 939182 1390787 1408773 2781574 2817546 4172361 4271957 8344722 8543914 12815871 25631742 72623269 98255011 145246538 196510022 217869807 294765033 435739614 589530066 1670335187 3340670374 5011005561 10022011122