[go: up one dir, main page]

Search a number
-
+
131203320 = 23354347541
BaseRepresentation
bin1111101001000…
…00000011111000
3100010212211010020
413310200003320
5232042001240
621004050440
73152131653
oct764400370
9303784106
10131203320
1168073aa6
1237b33a20
132124a401
14135d489a
15b7ba0d0
hex7d200f8

131203320 has 128 divisors (see below), whose sum is σ = 412093440. Its totient is φ = 33384960.

The previous prime is 131203309. The next prime is 131203333. The reversal of 131203320 is 23302131.

It is a super-2 number, since 2×1312033202 = 34428622358044800, which contains 22 as substring.

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 131203320.

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, 242250 + ... + 242790.

It is an arithmetic number, because the mean of its divisors is an integer number (3219480).

Almost surely, 2131203320 is an apocalyptic number.

131203320 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 131203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206046720).

131203320 is an abundant number, since it is smaller than the sum of its proper divisors (280890120).

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

131203320 is a wasteful number, since it uses less digits than its factorization.

131203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 131203320 is about 11454.4017739906. The cubic root of 131203320 is about 508.1379231594.

Adding to 131203320 its reverse (23302131), we get a palindrome (154505451).

The spelling of 131203320 in words is "one hundred thirty-one million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 47 60 86 94 120 129 141 172 188 215 235 258 282 344 376 430 470 516 541 564 645 705 860 940 1032 1082 1128 1290 1410 1623 1720 1880 2021 2164 2580 2705 2820 3246 4042 4328 5160 5410 5640 6063 6492 8084 8115 10105 10820 12126 12984 16168 16230 20210 21640 23263 24252 25427 30315 32460 40420 46526 48504 50854 60630 64920 69789 76281 80840 93052 101708 116315 121260 127135 139578 152562 186104 203416 232630 242520 254270 279156 305124 348945 381405 465260 508540 558312 610248 697890 762810 930520 1017080 1093361 1395780 1525620 2186722 2791560 3051240 3280083 4373444 5466805 6560166 8746888 10933610 13120332 16400415 21867220 26240664 32800830 43734440 65601660 131203320