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10120322142 = 2337181147919
BaseRepresentation
bin10010110110011011…
…11101110001011110
3222010022011122002000
421123031331301132
5131211300302032
64352121343130
7505535214240
oct113315756136
928108148060
1010120322142
1143237268a7
121b65337aa6
13c538c7bc8
146c0124090
153e3728e7c
hex25b37dc5e

10120322142 has 64 divisors (see below), whose sum is σ = 25844582400. Its totient is φ = 2875525920.

The previous prime is 10120322131. The next prime is 10120322197. The reversal of 10120322142 is 24122302101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5542 + ... + 142377.

It is an arithmetic number, because the mean of its divisors is an integer number (403821600).

Almost surely, 210120322142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120322142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12922291200).

10120322142 is an abundant number, since it is smaller than the sum of its proper divisors (15724260258).

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

10120322142 is a wasteful number, since it uses less digits than its factorization.

10120322142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148118 (or 148112 counting only the distinct ones).

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

Adding to 10120322142 its reverse (24122302101), we get a palindrome (34242624243).

The spelling of 10120322142 in words is "ten billion, one hundred twenty million, three hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 181 189 362 378 543 1086 1267 1629 2534 3258 3801 4887 7602 9774 11403 22806 34209 68418 147919 295838 443757 887514 1035433 1331271 2070866 2662542 3106299 3993813 6212598 7987626 9318897 18637794 26773339 27956691 53546678 55913382 80320017 160640034 187413373 240960051 374826746 481920102 562240119 722880153 1124480238 1445760306 1686720357 3373440714 5060161071 10120322142