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10024112322 = 23271731150961
BaseRepresentation
bin10010101010111101…
…11101000011000010
3221212121010200000100
421111132331003002
5131012133043242
64334403303230
7503256356160
oct112536750302
927777120010
1010024112322
114284393a54
121b3907ab16
13c399b0613
146b143c230
153da07254c
hex2557bd0c2

10024112322 has 96 divisors (see below), whose sum is σ = 27129682944. Its totient is φ = 2608588800.

The previous prime is 10024112309. The next prime is 10024112369. The reversal of 10024112322 is 22321142001.

It is a happy number.

10024112322 is a `hidden beast` number, since 100 + 241 + 1 + 2 + 322 = 666.

10024112322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10024112295 and 10024112304.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9079 + ... + 141882.

It is an arithmetic number, because the mean of its divisors is an integer number (282600864).

Almost surely, 210024112322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024112322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564841472).

10024112322 is an abundant number, since it is smaller than the sum of its proper divisors (17105570622).

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

10024112322 is a wasteful number, since it uses less digits than its factorization.

10024112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151024 (or 151021 counting only the distinct ones).

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

Adding to 10024112322 its reverse (22321142001), we get a palindrome (32345254323).

The spelling of 10024112322 in words is "ten billion, twenty-four million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 306 357 434 527 558 651 714 1054 1071 1302 1581 1953 2142 3162 3689 3906 4743 7378 9486 11067 22134 33201 66402 150961 301922 452883 905766 1056727 1358649 2113454 2566337 2717298 3170181 4679791 5132674 6340362 7699011 9359582 9510543 14039373 15398022 17964359 19021086 23097033 28078746 32758537 35928718 42118119 46194066 53893077 65517074 79556447 84236238 98275611 107786154 159112894 161679231 196551222 238669341 294826833 323358462 477338682 556895129 589653666 716008023 1113790258 1432016046 1670685387 3341370774 5012056161 10024112322