Search a number
-
+
1013411130 = 235373892347
BaseRepresentation
bin111100011001110…
…110110100111010
32121121220121201120
4330121312310322
54033413124010
6244320530110
734053565254
oct7431666472
92547817646
101013411130
11480053866
12243480936
13131c54574
149883ccd4
155de7ee70
hex3c676d3a

1013411130 has 64 divisors (see below), whose sum is σ = 2505409920. Its totient is φ = 262151424.

The previous prime is 1013411107. The next prime is 1013411137. The reversal of 1013411130 is 311143101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1013411137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430617 + ... + 432963.

It is an arithmetic number, because the mean of its divisors is an integer number (39147030).

Almost surely, 21013411130 is an apocalyptic number.

1013411130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013411130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252704960).

1013411130 is an abundant number, since it is smaller than the sum of its proper divisors (1491998790).

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

1013411130 is a wasteful number, since it uses less digits than its factorization.

1013411130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1013411130 is about 31834.1189606372. The cubic root of 1013411130 is about 1004.4505399762.

Adding to 1013411130 its reverse (311143101), we get a palindrome (1324554231).

The spelling of 1013411130 in words is "one billion, thirteen million, four hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 389 555 778 1110 1167 1945 2334 2347 3890 4694 5835 7041 11670 11735 14082 14393 23470 28786 35205 43179 70410 71965 86358 86839 143930 173678 215895 260517 431790 434195 521034 868390 912983 1302585 1825966 2605170 2738949 4564915 5477898 9129830 13694745 27389490 33780371 67560742 101341113 168901855 202682226 337803710 506705565 1013411130