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113033130 = 23573197179
BaseRepresentation
bin1101011110010…
…11111110101010
321212200200022020
412233023332222
5212414030010
615114405310
72541523440
oct657137652
9255620266
10113033130
1158893511
1231a30836
131a557b12
1411024b90
159dcb470
hex6bcbfaa

113033130 has 128 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 24606720.

The previous prime is 113033101. The next prime is 113033131. The reversal of 113033130 is 31330311.

113033130 is a nontrivial binomial coefficient, being equal to C(15036, 2).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113033131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631381 + ... + 631559.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2113033130 is an apocalyptic number.

113033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113033130 is the 15035-th triangular number and also the 7518-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

113033130 is an abundant number, since it is smaller than the sum of its proper divisors (212107350).

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

113033130 is a wasteful number, since it uses less digits than its factorization.

113033130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 113033130 is about 10631.7040026517. The cubic root of 113033130 is about 483.5060558539.

Adding to 113033130 its reverse (31330311), we get a palindrome (144363441).

The spelling of 113033130 in words is "one hundred thirteen million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 97 105 155 179 186 194 210 217 291 310 358 434 465 485 537 582 651 679 895 930 970 1074 1085 1253 1302 1358 1455 1790 2037 2170 2506 2685 2910 3007 3255 3395 3759 4074 5370 5549 6014 6265 6510 6790 7518 9021 10185 11098 12530 15035 16647 17363 18042 18795 20370 21049 27745 30070 33294 34726 37590 38843 42098 45105 52089 55490 63147 77686 83235 86815 90210 104178 105245 116529 121541 126294 166470 173630 194215 210490 233058 243082 260445 315735 364623 388430 520890 538253 582645 607705 631470 729246 1076506 1165290 1215410 1614759 1823115 2691265 3229518 3646230 3767771 5382530 7535542 8073795 11303313 16147590 18838855 22606626 37677710 56516565 113033130