Search a number
-
+
141311310 = 235717231721
BaseRepresentation
bin10000110110000…
…11110101001110
3100211220100200020
420123003311032
5242133430220
622004443010
73334061220
oct1033036516
9324810606
10141311310
1172848308
123b3a9466
132337917a
1414aa6410
15c615040
hex86c3d4e

141311310 has 128 divisors (see below), whose sum is σ = 428488704. Its totient is φ = 29061120.

The previous prime is 141311279. The next prime is 141311323. The reversal of 141311310 is 13113141.

141311310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1413113102 = 39937772667832200, 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 141311310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81250 + ... + 82970.

It is an arithmetic number, because the mean of its divisors is an integer number (3347568).

Almost surely, 2141311310 is an apocalyptic number.

141311310 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 141311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214244352).

141311310 is an abundant number, since it is smaller than the sum of its proper divisors (287177394).

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

141311310 is a wasteful number, since it uses less digits than its factorization.

141311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778.

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

The square root of 141311310 is about 11887.4433752595. The cubic root of 141311310 is about 520.8655579564.

Adding to 141311310 its reverse (13113141), we get a palindrome (154424451).

The spelling of 141311310 in words is "one hundred forty-one million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 23 30 34 35 42 46 51 69 70 85 102 105 115 119 138 161 170 210 230 238 255 322 345 357 391 483 510 595 690 714 782 805 966 1173 1190 1610 1721 1785 1955 2346 2415 2737 3442 3570 3910 4830 5163 5474 5865 8211 8605 10326 11730 12047 13685 16422 17210 24094 25815 27370 29257 36141 39583 41055 51630 58514 60235 72282 79166 82110 87771 118749 120470 146285 175542 180705 197915 204799 237498 277081 292570 361410 395830 409598 438855 554162 593745 614397 672911 831243 877710 1023995 1187490 1228794 1345822 1385405 1662486 2018733 2047990 2770810 3071985 3364555 4037466 4156215 4710377 6143970 6729110 8312430 9420754 10093665 14131131 20187330 23551885 28262262 47103770 70655655 141311310