Search a number
-
+
113141220 = 22354753757
BaseRepresentation
bin1101011111001…
…10010111100100
321212220011120120
412233212113210
5212431004340
615121001540
72542453533
oct657462744
9255804516
10113141220
1158957745
1231a832b0
131a59508a
141105231a
159ded4d0
hex6be65e4

113141220 has 96 divisors (see below), whose sum is σ = 330075648. Its totient is φ = 28933632.

The previous prime is 113141191. The next prime is 113141221. The reversal of 113141220 is 22141311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113141220.

It is not an unprimeable number, because it can be changed into a prime (113141221) 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, 149082 + ... + 149838.

It is an arithmetic number, because the mean of its divisors is an integer number (3438288).

Almost surely, 2113141220 is an apocalyptic number.

113141220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165037824).

113141220 is an abundant number, since it is smaller than the sum of its proper divisors (216934428).

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

113141220 is a wasteful number, since it uses less digits than its factorization.

113141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

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

The square root of 113141220 is about 10636.7861687636. The cubic root of 113141220 is about 483.6601272592.

Adding to 113141220 its reverse (22141311), we get a palindrome (135282531).

Subtracting from 113141220 its reverse (22141311), we obtain a palindrome (90999909).

The spelling of 113141220 in words is "one hundred thirteen million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 53 60 94 106 141 159 188 212 235 265 282 318 470 530 564 636 705 757 795 940 1060 1410 1514 1590 2271 2491 2820 3028 3180 3785 4542 4982 7473 7570 9084 9964 11355 12455 14946 15140 22710 24910 29892 35579 37365 40121 45420 49820 71158 74730 80242 106737 120363 142316 149460 160484 177895 200605 213474 240726 355790 401210 426948 481452 533685 601815 711580 802420 1067370 1203630 1885687 2134740 2407260 3771374 5657061 7542748 9428435 11314122 18856870 22628244 28285305 37713740 56570610 113141220