Search a number
-
+
10120301142 = 237256960497
BaseRepresentation
bin10010110110011011…
…11000101001010110
3222010022010120021020
421123031320221112
5131211244114032
64352121102010
7505535066100
oct113315705126
928108116236
1010120301142
114323712046
121b65327906
13c538bb493
146c011a570
153e3722b2c
hex25b378a56

10120301142 has 48 divisors (see below), whose sum is σ = 23586960240. Its totient is φ = 2886385152.

The previous prime is 10120301039. The next prime is 10120301143. The reversal of 10120301142 is 24110302101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120301143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137038 + ... + 197534.

It is an arithmetic number, because the mean of its divisors is an integer number (491395005).

Almost surely, 210120301142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120301142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793480120).

10120301142 is an abundant number, since it is smaller than the sum of its proper divisors (13466659098).

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

10120301142 is a wasteful number, since it uses less digits than its factorization.

10120301142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61085 (or 61078 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10120301142 its reverse (24110302101), we get a palindrome (34230603243).

The spelling of 10120301142 in words is "ten billion, one hundred twenty million, three hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 569 1138 1707 3414 3983 7966 11949 23898 27881 55762 60497 83643 120994 167286 181491 362982 423479 846958 1270437 2540874 2964353 5928706 8893059 17786118 34422793 68845586 103268379 206536758 240959551 481919102 722878653 1445757306 1686716857 3373433714 5060150571 10120301142