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10422220131 = 334117354421
BaseRepresentation
bin10011011010011011…
…00111010101100011
3222220100020122021000
421231031213111203
5132321042021011
64442104203043
7516162260301
oct115515472543
928810218230
1010422220131
114469087274
12202a469483
13ca130b87b
1470c26d271
1540eeb0356
hex26d367563

10422220131 has 32 divisors (see below), whose sum is σ = 15908639040. Its totient is φ = 6739372800.

The previous prime is 10422220121. The next prime is 10422220153. The reversal of 10422220131 is 13102222401.

It is a happy number.

10422220131 is a `hidden beast` number, since 10 + 422 + 2 + 201 + 31 = 666.

It is not a de Polignac number, because 10422220131 - 210 = 10422219107 is a prime.

It is a super-2 number, since 2×104222201312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10422220121) 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 31 ways as a sum of consecutive naturals, for example, 164301 + ... + 218721.

It is an arithmetic number, because the mean of its divisors is an integer number (497144970).

Almost surely, 210422220131 is an apocalyptic number.

10422220131 is a deficient number, since it is larger than the sum of its proper divisors (5486418909).

10422220131 is a wasteful number, since it uses less digits than its factorization.

10422220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54644 (or 54638 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10422220131 its reverse (13102222401), we get a palindrome (23524442532).

The spelling of 10422220131 in words is "ten billion, four hundred twenty-two million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 27 41 123 173 369 519 1107 1557 4671 7093 21279 54421 63837 163263 191511 489789 1469367 2231261 6693783 9414833 20081349 28244499 60244047 84733497 254200491 386008153 1158024459 3474073377 10422220131